Answer:
x = 3
y = -1
Explanation:
5x + 3y = 12
x - 4y= 7
Times the second equation by -5
5x + 3y = 12
-5x + 20y = -35
23y = -23
y = -1
Now put -1 back in for y and solve for x
x - 4(-1) = 7
x + 4 = 7
x = 3
Let's check
3 - 4(-1)= 7
3 + 4 = 7
7 = 7
So, x = 3 and y = -1 is the correct answer.