SOLUTION: solve system by elimimination 3x-5y=1 9x-y=-17

Question 1096412: solve system by elimimination
3x-5y=1
9x-y=-17
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
3x-5y=1 multiply all sides times -3 and add to the other equation:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
9x-y=-17
+
-9x+15y = -3
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0x+14y = -20
14y = -20
y = -20/14 = -10/7
We now have y, let's find x:
9x−y=−17
9x-(-10/7) = -17
9x+10/7 = -17
9x = -17-10/7
9x = -129/7
x = (-129/7)/9 = (-129*1)/(7*9) = -43/21
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Answer:
y = -10/7
x = -43/21
if you need to check the answers, substitute in the equations for x and y, I'll do one for an example:
3x-5y=1
3(-43/21)-5(-10/7) = 1
-43/7+50/7 = 7/7 = 1 Correct.

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