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07-07-2015
Mathematics

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The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?

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07-07-2015

[tex]x+y=12 \\ x-2y=6 \ \ \ \ \ \ \ \ \ |\times (-1) \\ \\ x+y=12 \\ \underline{-x+2y=-6} \\ y+2y=12-6 \\ 3y=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 3 \\ y=2 \\ \\ x+y=12 \\ x+2=12 \ \ \ \ \ \ \ \ \ \ |-2 \\ x=10 \\ \\ \boxed{x=10, \ y=2}[/tex]

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