Question

Find the solution of this system of equations-6x-5y=-456x+6y=60

Answer 1

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