Question

Find the x 1/2x+3/4=x5/6

Answer 1

Answer:

$\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}$

Step-by-step explanation:

$\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}$

Subtract x (5/6) from both sides:

$\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0$

Subtract 3/4 from both sides:

** Anything subtracted from zero gives its negation.**

$\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}$

Multiply both sides by -3, reciprocal of - 1/3

$\longmapsto\sf x=-\cfrac{3}{4} (-3)$

Express - 3/4 (-3) as single fraction:

$\longmapsto\sf x=\cfrac{-3(-3)}{4}$

Multiply -3 and -3 = 9

$\longmapsto\sf x= \cfrac{9}{4}$

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Answer 2

Answer:

$x=\frac{9}{4}$

Step-by-step explanation: