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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 NO solution?

  • A

    b=12b = 12 only

  • B

    b≠12b \neq 12

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  • C

    b=6b = 6

  • D

    b=0b = 0

Explanation

Parallel-but-not-equal: ratios of coefficients match but constants don't. So b≠12b \neq 12 for no solution.

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