Answer:
(-5, -1)
Step-by-step explanation:
When two lines intersect, their x and y values are equal. So,
x = 3y - 2 must equal -7 - 2y = x
x = 3y - 2 = -7 - 2y = x
Let's look at the two middle equations and solve for y.
3y - 2 = -7 - 2y
Add 2y to both sides
5y - 2 = -7
Add 2 to both sides.
5y = -5
y = -1
Now, let's find x. You can use either equation for this step.
When y = -1, then 3y - 2 =
(3)(-1) - 2 = -3 - 2 = -5
So, x = -5, and y = -1
Thus, the answer is (-5, -1)
I hope this helps! Feel free to ask any questions!
