SOLUTION: Solve using the Substitution Method 3x+2y=13 x+y=5

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Question 286418: Solve using the
Substitution Method
3x+2y=13
x+y=5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Pick an equation and a variable to solve for. I'm going to solve for 'y' in the second equation. So solve for 'y' in x%2By=5 to get y=-x%2B5


Step 2) Plug in (ie substitute) y=-x%2B5 into the other equation 3x%2B2y=13. In other words, replace each 'y' with -x%2B5 to effectively eliminate every 'y' term. After doing so, you should get 3x%2B2%28-x%2B5%29=13


Step 3) Solve for 'x'. This can be easily done as 3x%2B2%28-x%2B5%29=13 is a simple linear equation with one variable.


Step 4) Take the solution found in step 3 and use it to find the solution in terms of 'y'.