SOLUTION: Use the substitution method to solve the systems of equations. 2x+y=4 2x-y=0 I am racking my brain on this one! thanks in advance for any help you would be able to give me!

Algebra ->  Equations -> SOLUTION: Use the substitution method to solve the systems of equations. 2x+y=4 2x-y=0 I am racking my brain on this one! thanks in advance for any help you would be able to give me!      Log On


   

Question 165535: Use the substitution method to solve the systems of equations.
2x+y=4
2x-y=0
I am racking my brain on this one! thanks in advance for any help you would be able to give me!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+4%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
2%2Ax+=+4+-+1%2Ay, or x+=+4%2F2+-+1%2Ay%2F2. Substitute that
into another equation:
2%2A%284%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+0 and simplify: So, we know that y=2. Since x+=+4%2F2+-+1%2Ay%2F2, x=1.

Answer: system%28+x=1%2C+y=2+%29.