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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 10.4, Problem 5PS
Textbook Problem
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Solve each of the following systems. If the solution set is ϕ or if it contains infinitely many solutions, then so indicate.

(Objective 1)

( 2 x y + z = 0 3 x 2 y + 4 z = 11 5 x + y 6 z = 32 )

To determine

To find:

The values of x, y and z.

Explanation of Solution

Procedure:

Step-1: Combine two equations to eliminate one variable.

Step-2: Combine other pair of two equations to eliminate same variable.

Step-3: Solve the equations which got in step-1 and step-2 to solve the two variables.

Step-4: Put the two variables in any of given equation and solve for third variable.

Calculation:

Consider

2xy+z=0(1)3x2y+4z=11(2)5x+y6z=32(3)

Multiply equation (1) by –4 and add equation (2).

8x+4y4z=0    3x2y+4z=11_5x+2y=11         (4)

Multiply equation (1) by 6 and add equation (3).

 12x6y+6z=0   5x+ y6z=32_17x5y=32           (5)

Multiply equation (4) by 5 and multiply equation (5) by 2 and add them

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Chapter 10 Solutions

Intermediate Algebra
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Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - Thoughts Into Words How do you know by inspection,...Ch. 10.1 - Thoughts Into Words Is it possible for a system of...Ch. 10.1 - Graphing Calculator Activities Use the graphing...Ch. 10.1 - Graphing Calculator Activities Use the graphing...Ch. 10.2 - For Problems 15, answer true or false. To begin...Ch. 10.2 - For Problems 15, answer true or false. When...Ch. 10.2 - For Problems 15, answer true or false. When...Ch. 10.2 - For Problems 15, answer true or false. 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Equivalent...Ch. 10.3 - For Problems 1-8, answer true or false. Any...Ch. 10.3 - For Problems 1-8, answer true or false. Any...Ch. 10.3 - For Problems 1-8, answer true or false. The...Ch. 10.3 - For Problems 1-8, answer true or false. The...Ch. 10.3 - For Problems 1-8, answer true or false. If an...Ch. 10.3 - For Problems 1-8, answer true or false. The system...Ch. 10.3 - For Problems 1-8, answer true or false. 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The graph...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. Three...Ch. 10.4 - For Problems 1-10, answer true or false. One way...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. The...Ch. 10.4 - For Problems 1-10, answer true or false. The...Ch. 10.4 - For Problems 1-10, answer true or false. It is...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. 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The...Ch. 10.5 - For Problems 18, answer true or false. The...Ch. 10.5 - For Problems 18, answer true or false. The...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - Thoughts Into Words What happens if you try to...Ch. 10.5 - Thoughts Into Words Explain how you would solve...Ch. 10.5 - Graphing Calculator Activities Use a graphing...Ch. 10.5 - Graphing Calculator Activities For each of the...Ch. 10.S - Sample Problem Solve (2x+y=4x+2y=1) by graphing.Ch. 10.S - Sample Problem Solve the system (y12x+2yx3)..Ch. 10.S - Sample Problem Solve the system (12x2y=07x+y=1).Ch. 10.S - Sample Problem Solve the system (2x5y=73x10y=13).Ch. 10.S - Sample Problem Solve (3x+12y=24x5y=17).Ch. 10.S - Sample Problem A car dealership has 510 cars and...Ch. 10.S - Sample Problem 7 Solve (x2y=22x+3y=11y4z=7)Ch. 10.S - Sample Problem A triangle has a perimeter of 55...Ch. 10.S - Sample Problem Solve (y=x2+1xy=1)Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 21-22, graph the following system,...Ch. 10.CR - For problems 21-22, graph the following system,...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - Find the value of x in the solution for the...Ch. 10.CT - Find the value of y in the solution for the...Ch. 10.CT - Find the value of z in the solution for the...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - Graph the solution set for the system: x+3y32x-y2Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems 48 and 49, rationalize the...Ch. 10.CM - For problems 48 and 49, rationalize the...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - Find the slope of the line determined by the...Ch. 10.CM - Find the slope of the line determined by the...Ch. 10.CM - Find the length of the line segment whose...Ch. 10.CM - Write the equation of the line that contains the...Ch. 10.CM - Write the equation of the line that is...Ch. 10.CM - Find the center and the length of a radius of the...Ch. 10.CM - For the parabola y=x2+10x+21, find the coordinates...Ch. 10.CM - For the ellipse x2+4y2=16, find the length of the...Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - If f(x)=x3 and g(x)=2x2x1, find (gf)(x) and...Ch. 10.CM - Find the inverse (f1) of f(x)=3x7.Ch. 10.CM - Find the inverse of f(x)=12x+23.Ch. 10.CM - Find the constant of variation if y varies...Ch. 10.CM - If y is inversely proportional to the square of x,...Ch. 10.CM - The volume of a gas at a constant temperature...Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - For problems 119-130, set up an equation, an...

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