Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

The system 3x2y=73x - 2y = 7 and 9x+ky=219x + ky = 21 has infinitely many solutions when kk equals what?

  • A

    6-6

    check_circle
  • B

    66

  • C

    3-3

  • D

    33

Explanation

Need 33 \cdot(eq1) = eq2: 9x6y=219x - 6y = 21, matches 9x+ky=219x + ky = 21 when k=6k = -6.

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