Question

7x-2/5x-1=7x+3/5x+4​

Answer 1

$\frac{7x-2}{5x-1} = \frac{7x+3}{5x+4}$

$\implies (5x+4)(7x-2) = (7x+3)(5x-1)$

$\implies 5x(7x-2)+4(7x-2) = 7x(5x-1)+3(5x-1)$

$\implies 35x^{2} - 10x + 28x - 8 = 35x^{2}-7x+15x-3$

$\implies 35x^{2}+18x-8 = 35x^{2} +8x-3$

$\implies 35x^{2}+18x-35x^{2} -8x= -3 +8$

$\implies 10x= 5$

$\implies x = \frac{5}{10}$

$\implies x = \frac{1}{2}$

Therefore.,

$\red{ Value \:of \:x }\green {= \frac{1}{2}}$

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