ANSWER
x = 9, y = 5
Step-by-step explanation
We have a system of two simultaneous equations:
-4x + 9y = 9 ______(1)
x - 3y = -6 ______(2)
From (2), we have that:
x = 3y - 6
Put that in (1):
-4(3y - 6) + 9y = 9
-12y + 24 + 9y = 9
Collect like terms:
-12y + 9y = 9 -24
-3y = -15
y = -15 / -3
y = 5
Recall that x = 3y - 6:
=> x = 3(5) - 6
x = 15 - 6
x = 9
So, x = 9, y = 5