Answer:
x = 19/4 and y = 15/8
Explanation:
Given:
y = (-3/2)x + 9
2x + 4y = 17
Move y to one side:
2x + 4y = 17
y = 17/4 - x/2
Solve for x:
(-3/2)x + 9 = 17/4 - x/2
x = 19/4
Substitute x to solve for y:
y = (-3/2)(19/4) + 9
y = 15/8
2(19/4) + 4y = 17
y = 15/8