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91Ó°ÊÓ

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

5x+2y=2-3x-y=0

Short Answer

Expert verified

The solution for the system of linear equation is-2,6.

Step by step solution

01

Step 1. Given Information   

The system of linear equations is:

5x+2y=2..........1-3x-y=0..........2

02

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply second equation with 2.

2-3x-y=0-6x-2y=0..........3

Solve for x:

From equations 1and 3:

localid="1644402730336" 5x+2y=2-6x-2y=0-x=2x=-2

Solve for y:

Substitutex=-2

in the equation 5x+2y=2and solve for y.

5x+2y=25-2+2y=2-10+2y=22y=10+22y=12y=122y=6

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