Solve for x and y

4x-y=4

2y=3x+17

from the first equation y = 4 x - 4

use that in the second (substitution)
2 (4x - 4) = 3 x + 17

8 x - 8 = 3 x + 17

5 x = 25

x = 5

now go back for y
y = 4 x - 4
y = 4(5) - 4
y = 20 - 4
y = 16