Question 147124
When solving by elimination method, I get mixed up, for example:
 5x + 2y = -13
 7x – 3y = 19

Do I find the common denominator for y? I would multiply the top equation by 3 and the bottom equation by 2.
3(5x + 2y) = 3 (-13)
2(7x – 3y) = 2 (19)
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Good at this point.
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15x + 6y = -39
14x – 6y =  38
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Good at this point.
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Do I add or subtract?
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You add so the "y-terms" will be eliminated:
29x = -1  0r 1x =-1
x = -1/29 or x -1/1 or just -1
I know that whatever I get for x, I then replace the x in either of the first two equations to solve for y. I would then have the ordered pair for the solution to the system.

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Correct
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Cheers,
Stan H.