Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 2/5

The system x2y=5x - 2y = 5 and 3x6y=153x - 6y = 15 has how many solutions?

  • A

    Infinitely many

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  • B

    One

  • C

    Two

  • D

    Zero

Explanation

Multiplying the first by 3 gives the second equation. The lines are identical, so infinitely many solutions.

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