Solve the following equations-14 49-x-12 x-1

49=x 12x 1 rArr; 4(2x minus; 1) = 9(x minus; 1) rArr; 8x minus; 4 nbsp; = 9x minus; 9 there4; x = 5 ...

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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equations.

(14) $\frac{4}{9} = \frac{x - 1}{2 x - 1}$

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Solution

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(i) (x + 1) (2 x + 1) = 15

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\frac{C_{x + 1}^{2 x}}{C_{x - 1}^{2 x + 1}} = \frac{2}{3}

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\frac{1}{x} + \frac{2}{y} = 9; \frac{2}{x} + \frac{1}{y} = 12 (x \neq 0, y \neq 0)

Solve the following equations.
$7^{x + 2} - \frac{1}{7} \cdot 7^{x + 1} - {14.7}^{x - 1} + {2.7}^{x} = 48$

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