We have two equations:
Y - 5x = -18 .....(1)
3y = -9x + 18 .....(2)
We can use equation (2) to solve for y in terms of x:
3y = -9x + 18
y = (-9/3)x + 18/3
y = -3x + 6
Now we can substitute this expression for y into equation (1):
Y - 5x = -18
(-3x + 6) - 5x = -18
-8x + 6 = -18
Subtracting 6 from both sides:
-8x = -24
Dividing both sides by -8:
x = 3
Now we can use this value of x to find y:
y = -3x + 6
y = -3(3) + 6
y = -3
Therefore, the solution to the system of equations is (x, y) = (3, -3).