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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve for xx: xx−2=4x−2+1\dfrac{x}{x - 2} = \dfrac{4}{x - 2} + 1

  • A

    x=6x = 6

  • B

    x=2x = 2

  • C

    No solution

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  • D

    x=4x = 4

Explanation

Multiply both sides by x−2x - 2: x=4+(x−2)=x+2x = 4 + (x - 2) = x + 2, giving 0=20 = 2, contradiction. So no solution.

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