SOLUTION: Solve the system shown. Put your answer in (x, y) format with no spaces. 2x + 9y = 0 3x + 5y = 17

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Question 530554: Solve the system shown. Put your answer in (x, y) format with no spaces.
2x + 9y = 0
3x + 5y = 17
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 9y = 0
3x + 5y = 17
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multiply the first equation by 3 and the second by 2; then subtract
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6x + 27y = 0
6x + 10y = 34
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17y = -34
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y = -2
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substitute to find 'x'
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2x + 9(-2) = 0
2x -18 = 0
2x = 18
x = 9
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check by substituting these values into the other equation
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3(9) + 5(-2) = 17 ??
27 -10 = 17
correct
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Answer: (9,-2)
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Done.