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Chapter 4: Q. 52 (page 386)

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

3x+8y=-32x+5y=-3

Short Answer

Expert verified

The solution for the system of linear equation is -9,3.

Step by step solution

01

Step 1. Given Information

System of linear equations:

3x+8y=-3.........12x+5y=-3.........2

02

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply first equation with -5.

-53x+8y=-5-3-15x-40y=15..........3

Also multiply second equation with 8.

82x+5y=8-316x+40y=-24..........4

Solve for x:

From equations 3and 4:

-15x-40y=1516x+40y=-24x=-9x=-9

Solve for y:

Substitute x=-9

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

3x+8y=-33-9+8y=-3-27+8y=-38y=27-38y=24y=248y=3

The solution for the system of linear equation is-9,3.

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