Question

Solve the following equation. Check your result in each case x/2+x/4=1/8 the ans is 1/6​

Answer 1

Answer -

• The value of x is 1/6.

To find -

• The value of "x" and check the result.

Step-by-step explanation -

$\implies\sf \dfrac{x}{2} + \dfrac{x}{4} = \dfrac{1}{8}$

$\implies\sf \dfrac{(x \times 2) + (x \times 1)}{4} = \dfrac{1}{8}$

$\implies\sf \dfrac{2x + x}{4} = \dfrac{1}{8}$

$\implies\sf\dfrac{3x}{4} = \dfrac{1}{8}$

$\implies\sf8 \: (3x) = 4 \: (1)$

$\implies\sf24x = 4$

$\implies\sf x = \cancel{\dfrac{4}{24}}$

$\implies\sf x = \dfrac{1}{6}$

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V E R I F I C A T I O N -

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

LHS :

$\implies\rm \dfrac{x}{2} + \dfrac{x}{4}$

$\implies \dfrac{ \frac{1}{6} }{2} + \dfrac{ \frac{1}{6} }{4}$

$\implies \dfrac{1}{6} \times \dfrac{1}{2} + \dfrac{1}{6} \times \dfrac{1}{4}$

$\implies \dfrac{1}{12} + \dfrac{1}{24}$

$\implies \dfrac{(1 \times 2) + (1 \times 1)}{24}$

$\implies\dfrac{2 + 1}{24}$

$\implies \dfrac{3}{24}$

$\implies \dfrac{1}{8}$

RHS :

$\implies \dfrac{1}{8}$

LHS = RHS.

Hence verified!!

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