Question

2x + 1/4(10/3-1x/3)=11/4 simplify

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Answer 1

$\huge\fbox\red{✿Aɳടɯҽɾ✿}$

$\tt \blue{ AFTER \: LCM }$

$\purple{ 2x + 3(40 - 4x) = 33 }$

$\purple{2x + 120 - 12x = 33}$

$\purple{2x - 12x = 33 - 120}$

$\purple{ - 10x = - 87}$

$\purple{x = \frac{ - 87}{ - 10} }$

$\green{➡ \: x = 8.7}$

Hope it helps ♥

Answer 2

Answer:

The solution of the given equation is x = 1.

Step-by-step-explanation:

We have given a linear equation in variable x.

We have to find the value of x.

Now,

$\displaystyle{\sf\:2x\:+\:\dfrac{1}{4}\:\left(\:\dfrac{10}{3}\:-\:\dfrac{x}{3}\:\right)\:=\:\dfrac{11}{4}}$

$\displaystyle{\implies\sf\:2x\:+\:\dfrac{1}{4}\:\times\:\left(\:\dfrac{10\:-\:x}{3}\:\right)\:=\:\dfrac{11}{4}}$

$\displaystyle{\implies\sf\:2x\:+\:\dfrac{10\:-\:x}{4\:\times\:3}\:=\:\dfrac{11}{4}}$

$\displaystyle{\implies\sf\:2x\:+\:\dfrac{10\:-\:x}{12}\:=\:\dfrac{11}{4}}$

$\displaystyle{\implies\sf\:2x\:+\:\dfrac{10}{12}\:-\:\dfrac{x}{12}\:=\:\dfrac{11}{4}}$

$\displaystyle{\implies\sf\:2x\:-\:\dfrac{x}{12}\:=\:\dfrac{11}{4}\:-\:\dfrac{10}{12}}$

$\displaystyle{\implies\sf\:\dfrac{24x\:-\:x}{12}\:=\:\dfrac{11\:\times\:3}{4\:\times\:3}\:-\:\dfrac{10}{12}}$

$\displaystyle{\implies\sf\:\dfrac{23x}{12}\:=\:\dfrac{33}{12}\:-\:\dfrac{10}{12}}$

$\displaystyle{\implies\sf\:\dfrac{23x}{12}\:=\:\dfrac{33\:-\:10}{12}}$

$\displaystyle{\implies\sf\:\dfrac{23x}{\cancel{12}}\:=\:\dfrac{23}{\cancel{12}}}$

$\displaystyle{\implies\sf\:23x\:=\:23}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{23}{23}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:1}}}}$

∴ The solution of the given equation is x = 1.