Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 2/5

The system 2x+3y=62x + 3y = 6 and 4x+6y=154x + 6y = 15 has how many solutions?

  • A

    Infinitely many

  • B

    One

  • C

    Zero

    check_circle
  • D

    Two

Explanation

Multiplying the first by 2 gives 4x+6y=124x + 6y = 12, but the second is 4x+6y=154x + 6y = 15. The lines are parallel (no solution).

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