SOLUTION: How do you solve: 9x = 10y 3x-2y = 12 Use the elimination method to solve the system Thank you!

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Question 270432: How do you solve:
9x = 10y
3x-2y = 12
Use the elimination method to solve the system
Thank you!
Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
To use the elimination method we need to eliminate either x or y.
If I eliminate x by multiplying the second equation by 3
We get 9x - 10y = 0
and 9x - 6y = 36
subtracting gives -4y = -36
y = 9 and then substituting in the first equation gives 9x = 90 or x = 10
Checking in the second gives 3 x 10 - 2 x 9 = 30 = 18 = 12 which checks out