Question

Someone pls answer.

Answer 1

Answer is x=1

See the attachment.

Hope it helps.

Have a great day.

Answer 2

Question:

Solve the given equation:

$\displaystyle{\sf\:\dfrac{21}{4}\:x\:-\:\dfrac{3}{4}\:-\:2x\:+\:\dfrac{1\:-\:x}{2}\:=\:x\:+\:\dfrac{3}{2}}$

Answer:

The value of x is 1.

Step-by-step-explanation:

The given equation is

$\displaystyle{\sf\:\dfrac{21}{4}\:x\:-\:\dfrac{3}{4}\:-\:2x\:+\:\dfrac{1\:-\:x}{2}\:=\:x\:+\:\dfrac{3}{2}}$

We have to find the value of x.

Now,

$\displaystyle{\sf\:\dfrac{21}{4}\:x\:-\:\dfrac{3}{4}\:-\:2x\:+\:\dfrac{1\:-\:x}{2}\:=\:x\:+\:\dfrac{3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x}{4}\:-\:\dfrac{3}{4}\:-\:\dfrac{2x\:\times\:2\:+\:1\:-\:x}{2}\:=\:x\:+\:\dfrac{3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\ x\:-\:3}{4}\:-\:\dfrac{4x\;+\:1\:-\:x}{2}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x\:-\:3}{4}\:-\:\dfrac{4x\:-\:x\:+\:1}{2}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x\:-\:3}{4}\:-\:\dfrac{(\:3x\:+\:1\:)\:\times\:2}{2\:\times\:2}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x\:-\:3}{4}\:-\:\dfrac{6x\:+\:2}{4}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x\:-\:3\:-\:6x\:-\:2}{4}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{21\:x\:-\:6x\:-\:3\:-\:2}{4}\:=\:\dfrac{2x\:+\:3}{2}}$

$\displaystyle{\implies\sf\:\dfrac{15\:x\:-\:5}{\cancel{4}}\:=\:\dfrac{2x\:+\:3}{\cancel{2}}}$

$\displaystyle{\implies\sf\:\dfrac{15\:x\:-\:5}{2}\:=\:2x\:+\:3}$

$\displaystyle{\implies\sf\:15\:x\:-\:5\:=\:(\:2x\:+\:3\:)\:\times\:2}$

$\displaystyle{\implies\sf\:15\:x\:-\:5\:=\:4x\:+\:6}$

$\displaystyle{\implies\sf\:15\:x\:-\:4x\:=\:6\:+\:5}$

$\displaystyle{\implies\sf\:11\:x\:=\:11}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{11}{11}}}$

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

∴ The value of x is 1.