SOLUTION: y=x+8 x+y=2 use substitution to solve each system of equation

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Question 369977: y=x+8
x+y=2
use substitution to solve each system of equation

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.


Combine like terms on the left side


Subtract 8 from both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x


Divide


Now that we know that , we can plug this into to find



Substitute for each


Add


So our answer is and which also looks like


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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