Answer:
x = 1
y = -4
Step-by-step explanation:
We will multiply the 2nd equation by 4 first:
4 * [-x + y = -5]
-4x + 4y = -20
Now we will add this equation with 1st equation given. Shown below:
4x + 3y = -8
-4x + 4y = -20
---------------------
7y = -28
Now, we can solve for y easily:
7y = -28
y = -28/7
y = -4
Now, we take this value of y and put it in 1st original equation and solve for x:
4x + 3y = -8
4x + 3(-4) = -8
4x - 12 = -8
4x = -8 + 12
4x = 4
x = 4/4
x = 1
So, this is the only solution to this problem ( 1 intersection point at x = 1 and y = -4)