SOLUTION: solve the linear system using the substitution method y=2x+1 and y=-2x

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Question 1103441: solve the linear system using the substitution method
y=2x+1 and y=-2x
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!

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You need to work all the way through and SOLVE that first equation, which IS the first substitution step.


Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
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In the first equation replace "y" in the left side by "-2x" based on the second equation.


It is how the Substitution method works in this case.


Then you get the single equation for the only unknown "x":


-2x = 2x + 1,   which implies


-2x - 2x = 1  ====>  -4x = 1  ====>  x = .


Then from the second equation you get "y":


y = -2x =  = .


Answer.  The solution is  x= ,  y= .

Solved.


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