# SOLUTION: solve the system using the linear combination method 4x+2y=2 5x-2y=-11

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Question 218697: solve the system using the linear combination method
4x+2y=2
5x-2y=-11

Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website!
Solve the system using the linear combination method

4x+2y=2 Equation A
5x-2y=-11 Equation B

This is the elimination method (don't know if that's what your teacher means by the linear combination method. I think this is ok because you are just taking a linear combination of Equations A and B to yield another equation).

Add the two equations A and B to ge 9x=-9 or x=-1. Substituting x=-1 into Equation A yields -4+2y=2 or 2y=6 and y=3.

So solution is (-1,3).

The following solves using the Substituion method with the same results.

 Solved by pluggable solver: SOLVE linear system by SUBSTITUTION Solve: We'll use substitution. After moving 2*y to the right, we get: , or . Substitute that into another equation: and simplify: So, we know that y=3. Since , x=-1. Answer: .

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV