Question

(X-2) /(x+1) is equal to 1/2find x

Answer 1

$\sf{\underline{\large{\green{Question:-}}}}$

$\sf{\dfrac{(x\:-\:2)}{(x\:+\:1)}}$ = $\sf{\dfrac{1}{2}}$

$\sf{\underline{\large{\green{Answer:-}}}}$

$\sf{\dfrac{(x\:-\:2)}{(x\:+\:1)}}$ = $\sf{\dfrac{1}{2}}$

➠$\sf{(x \:-\: 2)}$ ㅤ= ㅤ$\sf{\dfrac{1}{2}}$ㅤ$\sf{ * }$ㅤ$\sf{(x \:+\: 1)}$

➠ $\sf{x\: -\: 2}$ ㅤ = ㅤ $\sf{\dfrac{x\:+\:1}{2}}$

➠$\sf{ x}$ ㅤ=ㅤ $\sf{\dfrac{x\:+\:1}{2}}$ㅤ + ㅤ2

➠ $\sf{x}$ㅤ = ㅤ$\sf{\dfrac{x\:+\:1\:+4}{2}}$

➠$\sf{ x}$ㅤ = ㅤ$\sf{\dfrac{x\:+\:5}{2}}$

➠ $\sf{x\: *\: 2}$ ㅤ=ㅤ x + 5

➠ 2x - x = 5

➠ x = 5

$\sf{\underline{\large{\green{Verification:-}}}}$

Given RHS = 1/2

Finding LHS:-

$\sf{\dfrac{(x\:-\:2)}{(x\:+\:1)}}$

➠ $\sf{\dfrac{(5\:-\:2)}{(5\:+\:1)}}$

➠ $\sf{\dfrac{3}{6}}$

➠ $\sf{\dfrac{1}{2}}$

LHS = RHS

Ans. = x = 5