You have the following system of equations:
-2x + 2y = 10
-9x + 8y = 46
in order to solve the previous equation, proceed as follow:
- divide by 2 the first equation:
-x + y = 10 solve for y
y = x + 10
- replace the previous expression for y into the second equation of the system and solve for x:
-9x + 8y = 46
-9x + 8(x + 10) = 46
-9x + 8x + 80 = 46 simplify like terms left side and subtract 80 both sides
-x = 46 - 80
-x = -34
x = 34
-replace the previous value of x into the expression y = x + 10, to find y:
y = x + 10
y = 34 + 10
y = 44
Hence, the solution to the given system of equations is:
(34,44)