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Algebra · Rational-Equations

Solve 3/q + 2/p = 3/2

\frac{3}{q} + \frac{2}{p} = \frac{3}{2}

Step by step

  1. \frac{3}{q} + \frac{2}{p} = \frac{3}{2}

    Start from the equation as given.

  2. - 3 p q + 6 p + 4 q = 0,\quad 2 p q \neq 0

    Multiply through by the common denominator, then solve the resulting polynomial. Exclude values that make a denominator 0.

  3. p = \frac{4 q}{3 \left(q - 2\right)}

    Solve for the variable.

Reveal the answer
p = \frac{4 q}{3 \left(q - 2\right)}