SOLUTION: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22. Find the two numbers us

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Question 956774: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22. Find the two numbers using the elimination method.
Answer by stanbon(75887) About Me  (Show Source):
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The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22. Find the two numbers using the elimination method.
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Equations:
5x + 2y = 18
3x - 7y = -22
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Modify for elimination::
15x + 6y = 3*18
15x - 35y= 5*-22
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Subtract and solve for "y"::
41y = 164
y = 4
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Solve for "x"::
3x - 7y = -22
3x - 28 = -22
3x = 6
x = 2
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Cheers,
Stan H.
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