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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

Solve: x+y2=5\frac{x+y}{2} = 5 and x−y2=1\frac{x-y}{2} = 1. What is xx?

  • A

    5

  • B

    4

  • C

    6

    check_circle
  • D

    7

Explanation

x+y=10x + y = 10, x−y=2x - y = 2. Adding: 2x=122x = 12 → x=6x = 6.

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