Given:x/2+x/4=1/8Multiply by 4 on both the sides, and we get:⇒4x/2+4x/4=4/80ex0ex⇒ 2x+x=1/20ex0ex⇒ 3x=1/20ex0ex⇒ x=1/6Hence, the required solution is x = ...

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Standard VII

Mathematics

Performing Mathematical Operations on Equation

Solve:x/2+x/4...

Question

Solve: $\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$ .

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Solution

Given:
$\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$
Multiply by $4$ on both the sides, and we get:
$\Rightarrow \frac{4 x}{2} + \frac{4 x}{4} = \frac{4}{8} \Rightarrow 2 x + x = \frac{1}{2} \Rightarrow 3 x = \frac{1}{2} \Rightarrow x = \frac{1}{6}$
Hence, the required solution is $x = \frac{1}{6}$

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Solve:x2+x4=18.

Given:x2+x4=18Multiply by 4 on both the sides, and we get:⇒4x2+4x4=48⇒2x+x=12⇒3x=12⇒x=16Hence, the required solution is x=16

Solve: $\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$ .

Given:
$\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$
Multiply by $4$ on both the sides, and we get:
$\Rightarrow \frac{4 x}{2} + \frac{4 x}{4} = \frac{4}{8} \Rightarrow 2 x + x = \frac{1}{2} \Rightarrow 3 x = \frac{1}{2} \Rightarrow x = \frac{1}{6}$
Hence, the required solution is $x = \frac{1}{6}$