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).
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
1 answer