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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

Lines L1:2x+3y=12L_1: 2x + 3y = 12 and L2:4x−y=10L_2: 4x - y = 10. The point of intersection is closest to which?

  • A

    (3,1)(3, 1)

  • B

    (3,2)(3, 2)

    check_circle
  • C

    (2,2)(2, 2)

  • D

    (2,3)(2, 3)

Explanation

From L2L_2: y=4x−10y = 4x - 10. Sub: 2x+12x−30=122x + 12x - 30 = 12 → 14x=4214x = 42 → x=3x = 3, y=2y = 2. Point (3,2)(3, 2).

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