Question

Solve the system using elimination.

5x = –25 + 5y
10y = 42 + 2x

Answer 1

5x = -25 + 5y
x = (-25 + 5y).2 same as dividing by 5, multiply both sides by .2
x = -5 + y
Now, substitute your equation for x into the next equation.
10y = 42 + 2x
10y = 42 + 2(- 5 + y)
10y = 42 + (-10) + 2y put y's on one side, #'s on the other
10y -2y = 42 -10
8y = 32
y = 32/8
y = 4
Now go back to the equation you used to get x to find it's value.
x = -5 + y
x = -5 + 4
x = -1
Solution: (-1, 4)
You can plug them into the equations and see if these work (they will)