SOLUTION: y=6x-11 -2x-3y=-7 I understand it but I do not understand how to break it all down. Please help!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: y=6x-11 -2x-3y=-7 I understand it but I do not understand how to break it all down. Please help!      Log On


   

Question 674820: y=6x-11
-2x-3y=-7
I understand it but I do not understand how to break it all down. Please help!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Given that y = 6x - 11
plug that value into the second equation
-2x - 3(6x-11) = -7
...
distribute the -3
-2x - 3(6x) - 3(-11) = -7
-2x - 18x + 33 = -7
...
Combine like terms
-20x = -7 - 33
-20x = -40
...
Divide both sides by -20
highlight_green%28x+=+2%29
...
Plug the value of x into the y = equation
y = 6x-11
y = 6(2) - 11
y = 12 - 11
highlight_green%28y+=+1%29
.....................
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