SOLUTION: solve system by substitution 8x-4y=16 y=2x-4

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Question 121937: solve system by substitution
8x-4y=16
y=2x-4

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 16 from both sides


Combine like terms on the right side


Simplify

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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