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Chapter 4: Q. 54 (page 386)

In the following exercises, solve the systems of equations by elimination.

3x+8y=675x+3y=60

Short Answer

Expert verified

The solution for the system of linear equation is9,5.

Step by step solution

01

Step 1. Given Information

The system of linear equations:

3x+8y=67........15x+3y=60........2

02

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply first equation with 3.

33x+8y=3679x+24y=201........3

Also multiply second equation with -8.

-85x+3y=-860-40x-24y=-480........4

Solve for x:

From equations 3and 4:

9x+24y=201-40x-24y=-480-31x=-279x=-279-31x=9

Solve for y:

Substitutex=9

in the equation 3x+8y=67and solve for y.

3x+8y=6739+8y=6727+8y=678y=67-278y=40y=408y=5

The solution for the system of linear equation is9,5.

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