It is related to simple equations, 0.5x + x / 3 = 0.25x + 7 Take all the x terms one side 0.5x + x / 3 0.25x = 7 Take x common, ( 0.5 + 1 / 3 0.25 )x = ...

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Standard VII

Mathematics

Solution of Inequations

0.5 x+x / 3=0...

Question

Find the value of $x : 0.5 x + \frac{x}{3} = 0.25 x + 7$

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Solution

Given: $0.5 x + \frac{x}{3} = 0.25 x + 7$
$\Rightarrow 0.5 x + \frac{x}{3} - 0.25 x = 7$
$\Rightarrow \frac{x}{3} + 0.25 x = 7$
$\Rightarrow \frac{x + 0.75 x}{3} = 7$
$\Rightarrow \frac{1.75 x}{3} = 7$
$\Rightarrow x = 7 \times \frac{3}{1.75}$
$∴ x = 12$

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0.5 x + \frac{x}{3} = 0.25 x + 7

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Find the value of x:0.5x+x3=0.25x+7

Given: 0.5x+x3=0.25x+7⇒0.5x+x3−0.25x=7⇒x3+0.25x=7⇒x+0.75x3=7⇒1.75x3=7⇒x=7×31.75∴x=12

Find the value of $x : 0.5 x + \frac{x}{3} = 0.25 x + 7$

Given: $0.5 x + \frac{x}{3} = 0.25 x + 7$
$\Rightarrow 0.5 x + \frac{x}{3} - 0.25 x = 7$
$\Rightarrow \frac{x}{3} + 0.25 x = 7$
$\Rightarrow \frac{x + 0.75 x}{3} = 7$
$\Rightarrow \frac{1.75 x}{3} = 7$
$\Rightarrow x = 7 \times \frac{3}{1.75}$
$∴ x = 12$