3x+2y=-4 y=-x-3
Rearrange y = -x - 3
y + x = -x - 3 + x
x + y = -3
Now, multiply through by 2
2(x + y) = 2 * (-3)
2x + 2y = -6
Subtract that from the first equation.
3x + 2y = -4
-(2x + 2y = -6)
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x = 2
Substitute that into the second equation.
y = -2 - 3
y = -5
Use equation 1 to verify the values.
3(2) + 2(-5) = -4
6 - 10 = -4
Right. x = 2 and y = -5