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Factors of Algebraic Expressions

Solve the fol...

Question

Solve the following equations.

(16) $\frac{2 x + 1}{3 x - 2} = \frac{5}{9}$

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Solution

$\frac{2 x + 1}{3 x - 2} = \frac{5}{9}$
⇒ 9(2x + 1) = 5(3x $-$ 2)
⇒ 18x + 9 = 15x $-$ 10
⇒ 3x = $-$ 19
∴ x = $\frac{- 19}{3}$

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