Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

For what value of aa does ax+6y=12ax + 6y = 12 and 2x+3y=62x + 3y = 6 have infinitely many solutions?

  • A

    a=4a = 4

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  • B

    a=6a = 6

  • C

    a=1a = 1

  • D

    a=2a = 2

Explanation

Need scalar multiple: a2=63=126=2\frac{a}{2} = \frac{6}{3} = \frac{12}{6} = 2a=4a = 4.

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