Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

Solve: 1x+1y=56\frac{1}{x} + \frac{1}{y} = \frac{5}{6} and 1x1y=16\frac{1}{x} - \frac{1}{y} = \frac{1}{6}. What is xx?

  • A

    1

  • B

    2

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  • C

    3

  • D

    4

Explanation

Add: 2x=1\frac{2}{x} = 1x=2x = 2.

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