SOLUTION: Using substituion what it the solution for the equations 2x+2y=50;y=x+9?

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Question 236065: Using substituion what it the solution for the equations 2x+2y=50;y=x+9?
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2B2y=50 Start with the 1st equation


2x%2B2%28x%2B9%29=50 Plug in y=x%2B9


2x%2B2x%2B18=50 Distribute.


4x%2B18=50 Combine like terms on the left side.


4x=50-18 Subtract 18 from both sides.


4x=32 Combine like terms on the right side.


x=%2832%29%2F%284%29 Divide both sides by 4 to isolate x.


x=8 Reduce.


y=x%2B9 Move onto to the 2nd equation


y=8%2B9 Plug in x=8


y=17 Add


So the solutions are x=8 and y=17 which form the ordered pair (8,17). So the system is consistent and independent.