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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

Lines 2x+y=72x + y = 7 and 3x−2y=73x - 2y = 7 intersect at:

  • A

    (4,−1)(4, -1)

  • B

    (1,5)(1, 5)

  • C

    (2,3)(2, 3)

  • D

    (3,1)(3, 1)

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Explanation

From eq1: y=7−2xy = 7 - 2x. Sub: 3x−2(7−2x)=73x - 2(7 - 2x) = 7 → 7x=217x = 21 → x=3x = 3, y=1y = 1.

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