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Linear Equations in One Variable

SAT Math· difficulty 5/5

The equations 3x+2y=63x + 2y = 6 and kx−y=1kx - y = 1 intersect at a point with x-coordinate 22. What is the value of kk?

  • A

    12\frac{1}{2}

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  • B

    2

  • C

    1

  • D

    0

Explanation

From first: 3(2)+2y=63(2) + 2y = 6, so y=0y = 0. Substitute into second: 2k−0=12k - 0 = 1, giving k=12k = \frac{1}{2}.

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