SOLUTION: Solve by the elimination method. 5x+2y= -11 7x-3y=19 What is the solution of the system?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve by the elimination method. 5x+2y= -11 7x-3y=19 What is the solution of the system?      Log On


   

Question 161196: Solve by the elimination method.
5x+2y= -11
7x-3y=19
What is the solution of the system?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.5x%2B2y=+-11
2.7x-3y=19
Multiply eq. 1 by 3 and eq. 2 by 2 and add them together.
You can then solve for x.
3%285x%2B2y%29%2B2%287x-3y%29=3%28-11%29%2B2%2819%29
15x%2B6y%2B14x-6y=-33%2B38
29x=5
highlight%28x=5%2F29%29
From eq. 1,
5x%2B2y=-11
5%285%2F29%29%2B2y=-11
25%2F29%2B2y=-11
2y=-11%2829%2F29%29-25%2F29
2y=-344%2F29
highlight%28y=-172%2F29%29
.
.
.
Go back and check the answers to make sure they solve the equation.
They do, but verify so you're sure.