SOLUTION: Hi, I need help with this problem. 3x - 5y= 21 2x + 10y= -26 Thanks for your time, Haley Hemmings

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Question 886506: Hi,
I need help with this problem.
3x - 5y= 21
2x + 10y= -26

Thanks for your time,
Haley Hemmings

Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Multiply the 1st eqn by 2, then add them.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
3x - 5y = 21
2x + 10y= -26
:
Simplify the 2nd equation divide by 2 and you have
3x - 5y = 21
x + 5y = -13
------------------Addition eliminates y, find x
4x = 8
x = 8/4
x = 2
:
Find y using the 2nd original equation; replace x with 2
2(2) + 10y = -26
4 + 10y = -26
10y = - 26 - 4
10y = -30
y = -30/10
y = -3
:
:
Check solutions in the 1st equation, replace x with 2; and y with -3
3(2) - 5(-3) = 21
6 - (-15) = 21
minus a minus is a plus
6 + 15 = 21; checks our solutions