Question

Solve for X

equation :-

x/6 + x/3 = 2/3 ​

Answer 1

${ \large{ \underline{ \pmb{ \frak{ Steps \:To \: Solve : }}}}}$

• First step is to take LCM of the given term
• Then,convert into a single fraction form .
• After cross multiply to both sides,make variable's terms one side and constant term on the other.
• Shifts all constant value which are along with Variable to constant side and let the variable single and hence evaluate it to find the variable's value.

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• Here,LCM of 6 & 3 is $\sf \pink 6$

$\sf :\implies \purple{ \dfrac{x}{6} + \dfrac{x}{3} = \dfrac{2}{3} }$

$\sf :\implies \dfrac{x + 2x}{6} = \dfrac{2}{3}$

$\sf :\implies \dfrac{3x}{6} = \dfrac{2}{3}$

$\sf :\implies 3x \times 3 = 6 \times 2$

$\sf :\implies 9x = 12$

$\sf :\implies \sf \purple{ x = \dfrac{12}{9} = \dfrac{4}{3}}$

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${ \large{ \underline{ \pmb{ \frak{ Verification: - }}}}}$

$\sf :\implies \dfrac{3x}{6} = \dfrac{2}{3}$

Taking LHS

$\sf :\implies \dfrac{3 \times \dfrac{4}{3} }{6}$

$\sf :\implies \dfrac{4}{6} = \purple{\dfrac{2}{3}}$

• Hence,LHS = RHS(Verified)

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Answer 2

Step-by-step explanation:

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