How do you solve the system of equations 5x+3y=−10 and 3x+5y=−6?

1 Answer
Ridinion K.
May 30, 2018

y=0 and x=−2

Explanation:

5x+3y=−10
3x+5y=−6

Let us eliminate x first so we can solve for y. To do this, multiply the top equation by 3 and bottom equation by 5:

15x+9y=−30
15x+25y=−30

Subtract equations away from each other:

0+(−16y)=0
−16y=0
y=0−16
y=0

Substitute value of y back into one of the original equations:

5x+3y=−10
5x+3(0)=−10
5x=−10
x=−105
x=−2

Double check solutions by plugging in the values of x=−2 and y=0 into the original equations to see whether you get −10 and −6.

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