Question

rezolvati in Q+ ecuatiile : a)x-3 pe 15=6 pe 5 b)2 pe 3 x+5 pe 6=17 pe 18

Answer 1

a) x-3/15=6/5, numitor comun 15, 15x-3=18, 15x=21, x=21/15=7/5

b) 2x/3+5/6=17/18, numitor comun 18, 12x+15=17, 12x=2, x=2/12=1/6

Answer 2

a)x-3 pe 15=6 pe 5

$\it x-\dfrac{3}{15} = \dfrac{6}{5} \Rightarrow x = \dfrac{6}{5} +\dfrac{\ 3^{(3}}{15}\Rightarrow x = \dfrac{6}{5} +\dfrac{1}{5} \Rightarrow x = \dfrac{7}{5} \in\mathbb{Q}_{+}$

b) 2 pe 3 x+5 pe 6=17 pe 18

$\it \dfrac{^{6)}2}{\ 3}x+\dfrac{^{3)}5}{\ 6} =\dfrac{17}{18} \Rightarrow 12x+15=17 \Rightarrow 12x=17-15 \Rightarrow 12x=2 \Rightarrow \\ \\ \\ \Rightarrow x = \dfrac{\ 2^{(2}}{12} \Rightarrow x= \dfrac{1}{6} \in\mathbb{Q}_{+}$