Question

Solve x+2/3+4/5=x/15

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Answer 1

$\Large {\textsf{\textbf{\red{ツ ~~~Question :-}}}}$

Solve :-

$\tt{ \frac{x + 2}{3} + \frac{4}{5} = \frac{x}{15} }$

$\Large {\textsf{\textbf{\green{ツ ~~~Solution :-}}}}$

• Here, we can solve the given linear equation as follows;

$\tt{ \frac{x + 2}{3} + \frac{4}{5} = \frac{x}{15} }$

$\mapsto \tt{5\left(x+2\right)+12=x }$

$\mapsto \tt{5x+10+12=x }$

$\mapsto \tt{5x+22=x }$

$\mapsto \tt{5x+22-x=0 }$

$\mapsto \tt{4x+22=0 }$

$\mapsto \tt{4x=-22 }$

$\mapsto \tt{x=\frac{-22}{4} }$

$\mapsto \tt{x=-\frac{11}{2} }$

• Now, by converting the fraction to lowest term, we get;

$: \implies \frak \red{x = -\frac{11}{2} = -5.5}$

• Hence, the value of x in the equation will be -5.5. . .

— ItZzVaibhu —