SOLUTION: x = 4-4y -x + 2y =2

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Question 117988This question is from textbook Beginning Algebra
: x = 4-4y
-x + 2y =2 This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
-1x%2B2y=2
x=4-4y



-1%284-4y%29%2B2y=2 Plug in x=4-4y into the first equation. In other words, replace each x with 4-4y. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


-4%2B4y%2B2y=2 Distribute


6y-4=2 Combine like terms on the left side


6y=2%2B4Add 4 to both sides


6y=6 Combine like terms on the right side


y=%286%29%2F%286%29 Divide both sides by 6 to isolate y



y=1 Divide




Now that we know that y=1, we can plug this into x=4-4y to find x



x=4-4%281%29 Substitute 1 for each y


x=0 Simplify


So our answer is x=0 and y=1