   Chapter 7.6, Problem 3SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 1-6, solve the system of linear equations. { x − 5 y   =   15 5 x   − y   =   25

To determine

To calculate: The solution of the system of linear equations 5xy=25,and x5y=15.

Explanation

Given Information:

The system equations are,

5xy=25x5y=15

Formula used:

Step 1: Write the given system of linear equation.

Step 2: Multiply the given equations with such constant so that after adding or subtracting one

variable vanishes.

Step 3: Solve the one variable equation and find the value of that variable.

Step 4: Putting that value of the variable in one of the given equations find the value other variable.

Calculation:

Consider the system of equations,

5xy=25x5y=15

Multiplying the equation 5xy=25 with 1 and x5y=15 with 5.

5xy=255x25y=75

Subtracting the above both equations,

(5xy)(5x25y)=257524y=50y=2512

Substituting the value of y in the 5xy=25

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