Question

if 3/5x+1=4/5x+3, then x + 10 is equal to
a) 10 b) 20 c) 0 d) 1​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{3}{5} x + 1 = \dfrac{4}{5} x + 3$

$\sf \longmapsto \dfrac{3x}{5} + 1 = \dfrac{4x}{5} + 3$

Taking LCM both sides

LCM of both sides will be 5

$\sf \longmapsto \dfrac{3x + 5}{5} = \dfrac{4x + 15}{5} - - (1)$

Cross multiply to both sides:

$\sf \longmapsto5(3x + 5) = 5(4x + 15)$

$\sf \longmapsto15x + 25 = 20x + 75$

$\sf \longmapsto15x - 20x = 75 - 25$

$\sf \longmapsto - 5x = 50$

$\sf \longmapsto \bold{x = - 10}$

We have to find x +10

=>x+10= -10+10=0

Correct option c) 0

We can also solve Equation 1 into this:-

$\sf \longmapsto \dfrac{3x + 5}{5} = \dfrac{4x + 15}{5}$

Since,5 is on both sides so,it gets cancelled

$\sf \longmapsto3x + 5 = 4x + 15$

$\sf \longmapsto3x - 4x = 15 - 5$

$\sf \longmapsto - x = 10$

$\sf \bold{x = - 10}$