$\frac{7}{2 a - 3} = \frac{4}{a}$

Answer

$a = 12$

Explanation

\frac{7}{2 a - 3} (2 a - 3) a \cdot \frac{7}{2 a - 3} 7 a 7 a - 8 a - a a = \frac{4}{a} = (2 a - 3) a \cdot \frac{4}{a} = 8 a - 12 = - 12 = - 12 = 12 multiply ALL terms by (2 a - 3) a . cancel out the denominators move the 8 a to the left side simplify left side switch signs on both sides

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2a−37​=a4​

a=12

$\frac{7}{2 a - 3} = \frac{4}{a}$

$a = 12$