English, asked by oOllWhiteHoneyllOo, 5 hours ago

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

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Answers

Answered by llAngelsnowflakesll
3

\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

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