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

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



4x%2B2%282-2x%29=4 Plug in y=2-2x into the first equation. In other words, replace each y with 2-2x. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


4x%2B4-4x=4 Distribute


4=4 Combine like terms on the left side


0=4-4Subtract 4 from both sides


0=0 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.