find the values for x and y

4x - 9= -15
-3x - 4y = 22

Eq1: 4X - 9 = -15

Eq2: 3X - 4Y = 22.

Solve for X in Eq1:
4X - 9 = -15,
4X = -15 + 9,
4X = -6,
X = -6/4 = -(3/2).
Substitute -3/2 for X in Eq2:
3(-3/2) - 4Y = 22,
-(9/2) - 4Y = 22,
Multiply both sides by 2:
-9 - 8Y = 44,
-8Y = 44 + 9 = 53,
Y = -(53/8).

You show only 1 variable in Eq1; i
assumed that is correct.