Find the value of x- if x-4-5x-10

The correct option is D x =40x=4/5(x+10) ⇒ 5x=4(x+10) ⇒ 5x=4x+40 ⇒ 5x 4x =40 ⇒ x =40 Let's verify x = 40 by substituting the value of x in the given equation. ...

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Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

Find the valu...

Question

Find the value of x, if $x = \frac{4}{5} (x + 10)$ .

x = 30

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x = 40

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x = 20

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x = 50

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Solution

The correct option is B $x = 40$
$x = \frac{4}{5} (x + 10)$
$\Rightarrow 5 x = 4 (x + 10)$
$\Rightarrow 5 x = 4 x + 40$
$\Rightarrow 5 x - 4 x = 40$
$\Rightarrow x = 40$

Let's verify x = 40 by substituting the value of x in the given equation.

$x = \frac{4}{5} (x + 10) \Rightarrow 40 = \frac{4}{5} (40 + 10)$
$\Rightarrow 40 = \frac{4}{5} \times 50$
$\Rightarrow 40 = 4 \times 10$
$\Rightarrow 40 = 40$
$\Rightarrow L H S = R H S$
Hence, it is correct.

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Find the value of x, if x=45(x+10).

The correct option is B x=40x=45(x+10) ⇒5x=4(x+10) ⇒5x=4x+40 ⇒5x−4x=40 ⇒x=40 Let's verify x = 40 by substituting the value of x in the given equation. x=45(x+10)⇒40=45(40+10) ⇒40=45×50 ⇒40=4×10 ⇒40=40 ⇒LHS=RHS Hence, it is correct.

Find the value of x, if $x = \frac{4}{5} (x + 10)$ .