Question

Va rog frumos sa ma ajutati la punctul g)!

Answer 1

(1/5)⁰+1/2:2=(1 1/3 x+1/4 x)×8/19+1/3 x
1+1/4=(4x/3+x/4)×8/19+x/3
5/4=(16x+3x)/12×8/19+x/3
5/4=19x/3×2/19+x/3
5/4=2x/3+x/3
5/4=3x/3
x=5/4

Answer 2

Efectuăm operațiile din membrul stâng:

$\it \left(\dfrac{1}{5}\right)^0 +\dfrac{1}{2}:2=1+\dfrac{1}{2}:\dfrac{2}{1} =1+\dfrac{1}{2}\cdot\dfrac{1}{2}= 1+\dfrac{1}{4} =\dfrac{5}{4}$

Efectuăm operațiile din membrul drept:

$\it \left(1\dfrac{1}{3}x+\dfrac{1}{4}x\right)\cdot\dfrac{8}{19}+\dfrac{1}{3}x = \left(\dfrac{^{4)}4x}{\ 3}+\dfrac{^{3)}x}{\ 4}\right)\cdot\dfrac{8}{19}+\dfrac{x}{3} = \\\;\\ \\\;\\ =\dfrac{19x}{12}\cdot\dfrac{8}{19}+\dfrac{x}{3} =\dfrac{2x}{3}+\dfrac{x}{3}=\dfrac{3x}{3} =x$

Acum, vom avea :

$\it \dfrac{5}{4}=x \Longleftrightarrow x=\dfrac{5}{4} \Longleftrightarrow x= 1,25$