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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 3/5

For what value of bb does the system 2x+3y=62x + 3y = 6 and 4x+6y=b4x + 6y = b have infinitely many solutions?

  • A

    8

  • B

    6

  • C

    10

  • D

    12

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Explanation

Need b=2⋅6=12b = 2 \cdot 6 = 12.

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