Question

3x-5/x+5=4/5
Need the answer very fast

Answer 1

Answer:

$= > \frac{3x - 5}{x + 5} = \frac{4}{5} \\ = > 5(3x - 5) = 4(x + 5) \\ = > 15x - 25 = 4x + 20 \\ = > 15x - 4x = 20 + 25 \\ = > 11x = 45 \\ = > x = \frac{45}{11} .$

Answer 2

$\huge{\boxed{\boxed{\underline{\bf SOLUTION}}}}$

Given

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

Now we will cross multiply the terms

$5(3x - 5) = 4(x + 5)$

$15x - 25 = 4x + 20$

$15x - 4x = 20 + 25$

$11x = 45$

$x = \frac{45}{11}$

Hence, this is the value of "x"

$\huge{\boxed{\mathcal{Verification }}}$

L. H. S

$\frac{3x - 5}{x + 5}$

$\frac{3 \times \frac{45}{11} - 5}{ \frac{45}{11} + 5}$

$\frac{ \frac{135}{11} - 5 }{ \frac{45}{11} + 5}$

$\frac{ \frac{135 - 55}{11} }{ \frac{45 + 55}{11} }$

$\frac{135 - 55}{45 + 55}$

$\frac{80}{100}$

$\frac{8}{10}$

$\frac{4}{5}$

R.H.S

$\frac{4}{5}$

L.H.S = R.H.S

Hence, it is verified