Question

Am de facut urmatoarele ecuatii:
1. Rezolvati in R ecuatiile:
a) 2x+6-8x=4x-6
b) x=$\frac{1}{2}$x+$\frac{1}{3}$x+$\frac{1}{6}$x+$\frac{1}{7}$

Answer 1

2x+6-8x=4x-6⇒   -6x-4x=-6-6⇒  -10x=-12 inmultim cu -1⇒x=12/10 simplificam cu 2⇒
x=6/5
b)x=x/2+x/3+x/6+1/7⇒x-x/2-x/3-x/6=1/7⇒aducem la acelasi numitor- numitorul va fi 6⇒
(6x-3x-2x-x)/6=1/7⇒(6x-6x)/6=1/7⇒0=1/7 nu are solutie