Answer: Choice A
(-2, -2)
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Explanation:
I'll use the substitution method to solve this system.
Replace y in the first equation with -x-4. This is because y = -x-4 is mentioned in the second equation.
So,
3x + 2y = -10
3x + 2( y ) = -10
3x + 2( -x-4 ) = -10 .... substitution
3x - 2x - 8 = -10
x - 8 = -10
x = -10+8
x = -2
Then use this to find y
y = -x-4
y = -(x) - 4
y = -(-2) - 4
y = 2 - 4
y = -2
We have x = -2 and y = -2 pair up together
They form the ordered pair solution (x, y) = (-2, -2)
This shows why Choice A is the answer.
Another way to see this is to graph each equation given using a tool like Desmos. It's a free graphing app.
See below.
The two lines intersect at (-2, -2) which is the solution.
