Question

Solve the system of equations using elimination. Give your answer as an ordered pair (x,y)

x + 2y = 10

-x + 3y = 30

YOU MUST SHOW YOUR WORK

Answer 1

To solve the system of equations using elimination, we will add the two equations together to eliminate the variable x.

(x + 2y) + (-x + 3y) = 10 + 30
2y + 3y = 40
5y = 40
y = 8

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x.

x + 2(8) = 10
x + 16 = 10
x = -6

Therefore, the solution to the system of equations is (-6, 8).