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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

The lines y=3x−5y = 3x - 5 and y=(k−1)x+2y = (k-1)x + 2 have NO intersection if k=?k = ?

  • A

    3

  • B

    2

  • C

    1

  • D

    4

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Explanation

Need parallel (same slope, different intercepts). k−1=3k - 1 = 3 → k=4k = 4.

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