Question 530972: a first number plus twice a second number is 22. Twice the first number plus the second total 17. Find the numbers. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! x + 2y = 22
2x +y = 17
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Multiply the 2nd equation by 2 and subtract
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x + 2y = 22
4x +2y = 34
------------- subtract
-3x = -12
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x = 4
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Substitute to find y.
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4 + 2y = 22
2y = 18
y = 9
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Check these values using the 2nd equation.
4(4) + 2(9) = 34 ??
16 + 18 = 34
Correct.
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Answer: The two numbers are 4 and 9.
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Done.
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