Answer:
x = 6
y = 4
Explanation:
x+y=10
4x-3y=12
Times the first equation by three and solve
3x + 3y = 30
4x - 3y = 12
7x = 42
x = 6
Then put 6 back in to solve for y
4(6) - 3y = 12
24 - 3y = 12
-3y = -12
y = 4
Let's check
6 + 4 = 10
10 = 10
So, my answer is correct!