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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 10.3, Problem 57PS

Textbook Problem

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For Problems 49-60, solve each problem by setting up and solving an appropriate system of equations. **(Objective 3)**

If the numerator of a certain fraction is increased by 5, and the denominator is decreased

by 1, the resulting fraction is

To determine

**To find:**

The original fraction.

**Approach:**

Let the numerator and denominator of the fraction be *x* & *y* respectively.

Then by using given information we can form the equations as follows:

Now to solve the above system, we have to simplify the equations. Then we will use elimination-by-addition method to solve the system.

**Calculation:**

So, the new system of equations is,

To solve the system, multiply first equation by *y* variable terms

Intermediate Algebra

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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 - 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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 - 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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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