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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

The system kx+y=1kx + y = 1 and x+ky=1x + ky = 1 has no solution when:

  • A

    k=2k = 2

  • B

    k=0k = 0

  • C

    k=−1k = -1

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  • D

    k=1k = 1

Explanation

At k=−1k = -1: −x+y=1-x + y = 1 and x−y=1x - y = 1 are parallel, no solution.

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