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)   (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 to get


Step 2) Plug in (ie substitute) into the other equation . In other words, replace each 'y' with to effectively eliminate every 'y' term. After doing so, you should get


Step 3) Solve for 'x'. This can be easily done as 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'.

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