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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 10.2, Problem 32PS

Textbook Problem

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For Problems
**(Objective 2)**

The difference of two numbers is 75. The larger number is three less than four times the smaller number. Find the numbers.

To determine

**To find:**

The larger number and the smaller number.

**Given:**

The difference of the two numbers is 75. The larger number is three less than four times the smaller number.

**Calculation:**

Let the larger number be *x*, and the smaller number be *y*.

The difference of the two numbers is 75.

The larger number is three less than four times the smaller number.

Use substitution method to solve the system of equations.

Substitute

Intermediate Algebra

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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 - 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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 - 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 - 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