Question

Solve the attached attachment​

Answer 1

${\huge{\mathfrak{\blue{\underline{\red{Solution:}}}}}}$

$\sf{\purple{Simplification:-}}$

$\pink{\rightarrow}$ $\rm{\dfrac{\dfrac{2}{3}x + 1}{x + \dfrac{ 1}{ 4}} }$= 5

$\pink{\rightarrow}$ $\rm{\dfrac{\dfrac{2x + 3}{3} }{\dfrac{ 4x + 1}{ 4}}}$= 5

$\pink{\rightarrow}$ $\rm{\dfrac{2x + 3}{3} × \dfrac{4}{4x + 1}}$= 5

$\pink{\rightarrow}$ $\rm{\dfrac{4(2x + 3)}{3(4x + 1)} }$= 5

$\pink{\rightarrow}$ $\rm{\dfrac{8x + 12}{12x + 3} }$= 5

$\pink{\rightarrow}$ $\rm{8x + 12}$= 5(12x + 3)

$\pink{\rightarrow}$ $\rm{8x + 12}$= 60x + 15

$\pink{\rightarrow}$ 8x - 60x = + 15 - 12

$\pink{\rightarrow}$ -52x = + 3

$\pink{\rightarrow}$ x = $\rm{\dfrac{-3}{52}}$

Therefore, the value of x is -3/52.

Answer 2

{2x/3 + 1} / {x + 1/4} = 5

{2x + 3}/{3} / {4x + 1}/{ 4} = 5

{2x + 3}/{3} × {4}/{4x + 1} = 5

4(2x + 3) / 3(4x + 1) = 5

{8x + 12}/{12x + 3} = 5

8x+12 = 5(12x + 3)

8x+12 = 60x + 15

8x - 60x = + 15 - 12

-52x = 3

x = -3/52