Question

solve the equations x/2-1/4= x/3+1/2​

Answer 1

Answer:

3/2

Step-by-step explanation:

x/2-1/4= x/3+1/2

4x-2/8=2 x+3/6

6(4x-2)=8(2x+3)

24x-12=16x+24

24 x-16x=24-12

8x=12

x=3/2

Answer 2

⠀⠀⠀⌬⠀Given Equation :

$\qquad \qquad \bigstar \pmb{\underline{\boxed{\sf{\red{\:\:\dfrac{x}{2}\:-\:\dfrac{1}{4}\:=\:\dfrac{x}{3}\:+\:\dfrac{1}{2}\:}}}}}$

$\twoheadrightarrow \sf \:\:\dfrac{x}{2}\:-\:\dfrac{1}{4}\:=\:\dfrac{x}{3}\:+\:\dfrac{1}{2}\:\:\\\\\\ \twoheadrightarrow \sf \:\:\dfrac{x}{2}\:-\:\dfrac{1}{4}\:=\:\dfrac{x}{3}\:+\:\dfrac{1}{2}\:\:\\\\\\ \twoheadrightarrow \sf \:\:\dfrac{2x \:-\:4}{4}\:=\:\dfrac{x + 3 }{6}\:\:\\\\\\ \twoheadrightarrow \sf \:\:6\:\Big\{ \:2x \:-\:4\:\Big\}\:=\:\:\:4\:\Big\{ \:x \:+\:3\:\Big\}\:\:\\\\\\\twoheadrightarrow \sf \:\Big\{ \:12x \:-\:24\:\Big\}\:=\:\:\Big\{ \:4x \:+\:12\:\Big\}\:\:\\\\\\ \twoheadrightarrow \sf \: \:12x \:-\:24\:\:=\:\:\:4x \:+\:12\:\\\\\\ \twoheadrightarrow \sf \: \:12x \:-\:4x\:\:=\:\:\:24 \:+\:12\:\\\\\\ \twoheadrightarrow \sf \: \:8x\:\:=\:\:\:36\:\\\\\\ \twoheadrightarrow \sf \: \:x\:\:=\:\cancel {\dfrac{36}{8}}\:\\\\\\ \twoheadrightarrow \sf \: \:x\:\:=\:\dfrac{9}{2}\:\\\\\\\twoheadrightarrow \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:\dfrac{9}{2}\:}}}}}\:\bigstar \:$

∴ Hence ,  The Value of x is 9/2 .