Question

please solve the equation

Answer 1

$\bold{\large{\underline{Solution}}}$

$\bold{\large{ Q1 \:\: \: \dfrac{\Bigg(\dfrac{3}{4}x \: + \: 1 \Bigg)}{\Bigg(x \: + \: \dfrac{1}{5}\Bigg)}\: = \: \dfrac{7}{4}}}$

$\bold{\large{\implies \dfrac{\Bigg(\dfrac{3x\: + \: 4}{4}\Bigg)}{\Bigg(\dfrac{5x\:+\:1}{5}\Bigg)} \: = \: \dfrac{7}{4} }}$

$\bold{\large{\implies \dfrac{3x\: + \: 4}{4} \times \dfrac{5}{5x\: + \: 1} \: = \: \dfrac{7}{4}}}$

$\bold{\large{\implies \dfrac{15x \: + \: 20}{5x\: + \: 1} \: = \: 7}}$

$\bold{\large{\implies 15x \: + \: 20 \: = \: 35x \: + \: 7}}$

$\bold{\large{\implies 35x\: + \: 7 \: = \: 15x \: + \: 20}}$

$\bold{\large{\implies 35x \: -\: 15x \: = \: 20\: - \: 7 }}$

$\bold{\large{\implies 20x \: = \: 13 }}$

$\bold{\large{\implies x \: = \: \dfrac{13}{20}}}$

$\bold{\large{\underline{Answer}}}$

$\bold{\large{\boxed{\boxed{ x \: = \: \dfrac{13}{20}}}}}$

$\bold{\large{\underline{Thanks}}}$

Answer 2

ANSWER IS 13/20
NICE........