SOLUTION: How do I solve this equation... 5x + y = 12 3x + y = 10 Do I add 5x and 3x together to get 8x? And the same with y to get 2y? I am not sure how to work these problems

Question 352710: How do I solve this equation...
5x + y = 12
3x + y = 10
Do I add 5x and 3x together to get 8x? And the same with y to get 2y? I am not sure how to work these problems
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No adding just gets you another equation in x and y.
Subtracting however allows you to eliminate y.
Try that and see what your result is.
Once you solve for x, use either equation to solve for y.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Subtract the 2nd from the 1st.
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