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Linear Equations in One Variable

SAT Math· difficulty 5/5

The lines y=3x+1y = 3x + 1 and y=−2x+ky = -2x + k intersect at a point on the x-axis. What is the value of kk?

  • A

    13\frac{1}{3}

  • B

    −23-\frac{2}{3}

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  • C

    23\frac{2}{3}

  • D

    −13-\frac{1}{3}

Explanation

y=3x+1=0y = 3x + 1 = 0 gives x=−13x = -\frac{1}{3}. Substitute into second: 0=−2(−13)+k0 = -2(-\frac{1}{3}) + k, so k=−23k = -\frac{2}{3}.

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