Question

Solve the following

Answer 1

Solution :-

$\dfrac{3x + 2}{7} + \dfrac{4(x + 1)}{5} = \dfrac{2}{3} (2x + 1)$

$= > \dfrac{3x + 2}{7} + \dfrac{4x + 4}{5} = \dfrac{4x + 2}{3}$

$= > \dfrac{5(3x + 2) + 7(4x + 4)}{35} = \dfrac{4x + 2}{3}$

$= > \dfrac{15x + 10 + 28x + 28}{35} = \dfrac{4x + 2}{3}$

$= > \dfrac{43x + 38}{35} = \dfrac{4x + 2}{3}$

$= > 35(4x + 2) = 3(43x + 38)$

$= > 140x + 70 = 129x + 114$

$= > 140x - 129x = 114 - 70$

$= > 11x = 44$

$= > x = \dfrac{44}{11}$

$= > x = 4$

Hence, the value of x is 4 respectively.

Answer 2

Step-by-step explanation:

the science of numbers, quantities, and shapes and the relations between them. mathematics.