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Chapter 4: Q. 49 (page 386)

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

5x-3y=-12x-y=2

Short Answer

Expert verified

The solution for the system of linear equation is7,12.

Step by step solution

01

Step 1. Given Information

The system of linear equation:

5x-3y=-1........12x-y=2........2

02

Step 2. Calculation

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

-32x-y=-32-6x+3y=-6.........3

Solve for x:

From equations 1and 3:

role="math" localid="1644423137231" 5x-3y=-1-6x+3y=-6-x=-7x=7

Solve for y:

Substitute x=7

in the equation 5x-3y=-1and solve for y.

5x-3y=-157-3y=-135-3y=-1-3y=-1-35-3y=-36y=-36-3y=12

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