   Chapter 7.5, Problem 1SWU ### 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 1-8, solve the system of equations. {   3 x − 2 y   =   5     5 x   =   15

To determine

To calculate: The value of variables of the system of equations 5x=15,3x2y=5.

Explanation

Given Information:

The system of equations:

5x=153x2y=5

Formula used:

A system of equations in two variables

a1x+b1y=c1a2x+b2y=c2

Can be solved by the method of elimination,

The procedure for which is as follows:

1. Arrange both the equations such that the like variables and constants are one above the another

2. Decide which variable to eliminate and with a proper choice of multiplication arrange so that the coefficients of that variable are same or opposite in sign to one another.

3. Add the equations if they are of opposite sign and subtract the equations if they are of same sign, leaving an equation with one variable.

4. Solve for the remaining variable.

5. Substitute the value found in the above step in any equation involving both variables and solve for the other variable.

Calculation:

The given system of equations

5x=15 …… (1)

3x2y=5 …… (2)

Consider the first equation,

5x=155

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