Question

solve each of equations 2‌x-1/3 + 6x-2/5 =1/3 ​

Answer 1

$\color{crimson}{✰Given:--}$

$• \frac{2x - 1}{3} + \frac{6x - 2}{5} = \frac{1}{3}$

$\color{Limegreen}{✰To Assume:--}$

• Solve each of the equation

$\color{purple}{✰Solution}$

We Have,

$\frac{2x - 1}{3} + \frac{6x - 2}{5} = \frac{1}{3}$

Now, we will Find Lcm of denominators

LCM of 3 & 5 = 15

$⟼ \frac{5(2x - 1) + 3(6x - 3)}{15} = \frac{1}{3} \\ ⟼ \frac{10x - 5 + 18x - 6}{15} = \frac{1}{3} \\ ⟼ \frac{10x - 18x + 5 - 6}{15} = \frac{1}{3} \\ ⟼ \frac{8x + 1}{15} \frac{1}{3}$

Now, Cross Multiply

$⟼3(8x + 1) = 1(15) \\ ⟼24x + 8 = 15 \\ ⟼24x = 15 - 3 \\ ⟼24x = - 12 \\ ⟼ x = - \frac { 24}{12} \\ ⟼x = - \frac{2}{1} \\ hence \: the \: x = - \frac{1}{2}$

Hope it will help U