Answer:
(9, -15)
Explanation:
First, label the 2 equations:
-10x -6y= 0 -----(1)
-4x -6y= 54 -----(2)
(2) -(1):
(-4x -6y) -(-10x-6y)= 54 -0
-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)
-4x -6y +10x +6y= 54 (expand)
10x -4x= 54 (simplify)
6x= 54
x=54 ÷6
x= 9
susbt. x=9 into (1):
-10(9) -6y=0 (subst. x=9 into -10x-6y=0)
-90= 6y (bring y term to the other side)
6y= -90
y= -90 ÷6
y= -15
Thus, the solution is (9, -15).