Question

solve the following linear equation 3(x/2-5)=4(x/3-1)​

Answer 1

Answer:13

Step-by-step explanation:

3x/2-5 = 4x/3-1

3x/2-5=4x/3-5

L.c.m of 2 and 3=6

Then

3(3x-5)=2(4x-1)

9x-15=8x-2

9x-8x=-2+15

x=13

Answer 2

$\:\:\:\: \Large \underline {\sf{Given\::}}$

$: \implies\sf 3(\dfrac{x}{2}\:-\:5)\:=\:4(\dfrac{x}{3}\:-\:1)$

$\:\:\:\: \Large \underline {\sf{Solution\::}}$

$: \implies\sf 3(\dfrac{x\:-\:10}{2})\:=\:4(\dfrac{x\:-\:3}{3}\:-\:1)$

$: \implies\sf 3(3x\:-\:30)\:=\:2(4x\:-\:12)$

$: \implies\sf 9x\:-\:90\:=\:8x\:-\:24$

$: \implies\sf 9x\:-\:8x\:=\:-\:24\:+\:90$

$: \implies\sf x\:=\:66$

$\:\:\:\: \large\underline{\boxed{\sf{Final\:Answer\:=\:66}}}$

And we are done !

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