Y = 3x-2/4 + x katera od naslednjih je enaka x? A 2y + 1, B 5y + 2/3, C4y + 8/1-y, D 4y + 2/3-y, E 2 + 1 / y

Odgovor:

# (4y + 2) / (3-y) do (D) #

Pojasnilo:

# y = (3x-2) / (4 + x) #

# "pomnožite obe strani z" 4 + x #

#rArry (4 + x) = 3x-2 #

# rArr4y + xy = 3x-2larrcolor (modra) "distribuiraj levo stran" #

# rArrxy-3x = -2-4ylarrcolor (modra) "zbira izraze v x na levi" #

#rArrx (y-3) = - (2 + 4y) larrcolor (modra) "faktor ven x" #

#rArrx = - (2 + 4y) / (y-3) larrcolor (modra) "delite z" (y-3) #

#rArrx = - (2 + 4y) / - (3-y) larrcolor (modra) "faktor ven - 1" #

# rArrx = (4y + 2) / (y-3) do (D) #