Question

(x-2)/(x+1)=1/2 find the value of x​

Answer 1

Answer:

Step-by-step explanation:

2x-1=0.5

2x=1+0.5

2x=1.5

x=0.75

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Answer 2

ANSWER:

Given:

• (x - 2)/(x + 1) = 1/2

To Find:

• Value of x

Solution:

$\text{We are given that,}\\\\:\longrightarrow\dfrac{x-2}{x+1}=\dfrac{1}{2}\\\\\text{On cross-multiplying,}\\\\:\implies2(x-2)=1(x+1)\\\\:\implies2x-4=x+1\\\\\text{On transposing x to LHS, and 4 to RHS,}\\\\:\implies 2x-x=1+4\\\\\bf{:\implies x=5}\\\\\text{\bf{Hence, Value of x is 5.}}$

Verification:

$\text{We are given that,}\\\\:\longrightarrow\dfrac{x-2}{x+1}=\dfrac{1}{2}\\\\\text{On putting x=5,}\\\\:\implies\dfrac{5-2}{5+1}=\dfrac{1}{2}\\\\:\implies\dfrac{3}{6}=\dfrac{1}{2}\\\\:\implies\dfrac{1}{2}=\dfrac{1}{2}\\\\\text{As, LHS=RHS,}\\\\\text{\bf{Hence Verified!!!}}$