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Chapter 4: Q 50. (page 386)

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

3x-5y=-95x+2y=16

Short Answer

Expert verified

The solution for system of linear equation is2,3.

Step by step solution

01

Step 1. Given Information

System of linear equations:

3x-5y=-9.......15x+2y=16.......2

02

Step 2. Calculation

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

23x-5y=2-96x-10y=-18........3

Also multiply second equation with 5.

55x+2y=51625x+10y=80........4

Solve for x:

From equations 3and 4:

6x-10y=-1825x+10y=8031x=62x=6231x=2

Solve for y:

Substitute x=2

in the equation 3x-5y=-9and solve for y.

3x-5y=-932-5y=-96-5y=-9-5y=-9-6-5y=-15y=-15-5y=3

The solution for system of linear equation is2,3.

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