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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 10.S, Problem 7S

Textbook Problem

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Sample Problem 7

Solve

To determine

**To solve:**

**General method to solve systems of three linear equations:**

Solving a system of three linear equations in three variables produces one of the following results:

1). There is one ordered triple that satisfies all three equations.

2). There are infinitely many ordered triples in the solution set, all of which are coordinates of points on a line common to the planes.

3). There are infinitely many ordered triples in the solution set, all of which are coordinates of points on a plane.

4). The solution set is empty; it is

The steps for the elimination-by-addition method:

1. Choose a pair of equations and eliminate one of the variables.

2. Choose a different pair of equations and eliminate the same variable.

3. Use the equations from 1) and 2) to form a system of two equations in two variables.

4. Solve the system of two equations by either elimination-by-addition or substitution.

5. Substitute the two solutions found in 4) into any of the original equations to find the value of the remaining variable.

6. Check your solution in all three of the original equations.

**Calculation:**

We have to solve

We have to choose equation 1 and equation 2 and eliminate the same variable *x*.

Multiply both sides of first equation by

Intermediate Algebra

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Ch. 10.1 - For Problems 110, answer true or false. To solve a...Ch. 10.1 - For Problems 110, answer true or false. A...Ch. 10.1 - For Problems 110, answer true or false. If the...Ch. 10.1 - For Problems 110, answer true or false. Every...Ch. 10.1 - For Problems 110, answer true or false. If the...Ch. 10.1 - For Problems 110, answer true or false. For the...Ch. 10.1 - For Problems 1-10, answer true or false. The...Ch. 10.1 - For Problems 1-10, answer true or false. The...Ch. 10.1 - For Problems 1-10, answer true or false. The...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 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. 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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 - 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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 - 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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 - 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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 - 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