Equation 1: -6x-5y=-45
Equation 2: 6x+6y=60
Solving equation1 for x:
-6x-5y=-45
45 - 5y = 6x
x = (45 - 5y)/6
Using this value of x into equation 2:
6x+6y=60
6((45 - 5y)/6) + 6y = 60
45 - 5y + 6y = 60
y = 60 - 45 = 15
y = 15
Using this vlaue of y in the expression we found for x:
x = (45 - 5y)/6
x = (45 - 5(15))/6 = (45 - 75)/6 = -30/6 = -5
x = -5
Answer:
x = -5
y = 15