SOLUTION: how do I solve the following system of linear equation 4x +2y = 4 Y = 2 - 2x

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Question 149513: how do I solve the following system of linear equation
4x +2y = 4
Y = 2 - 2x

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

Start with the given system





Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.


Distribute


Combine like terms on the left side


Subtract 4 from both sides


Combine like terms on the right side


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.

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