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

Question 236065: Using substituion what it the solution for the equations 2x+2y=50;y=x+9?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the 1st equation

Plug in

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Move onto to the 2nd equation

Plug in

Add

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