Question

Can you help me solve systems of equations by elimination step by step

-5x+9y=-12
3x+2y=22

Answer 1

Explanation:

First solve -5x+9y=-12 for x:

-5x+9y=-12

-5x+9y-9y=-12-9y

-5x=-12-9

-5x=-9-12

-5x/-5=-9/5-12/-5

x=9/5y+12/6

Substitute x into an equation

3(-9/5y+12/6)+2y=22

37/5y+36/5=22

37/5y+36/5-36/5=22-36/5

37/5y=74/5

37/5y/37/5=74/5/37/5

y=2

Substitute y in x=-9/5y+12/6

9/5(2)+12/6

x=6

Solution Set: (6,2)

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