Question

Rezolvati in Q fractiile:
a)$\frac{2}{3} x$+1=7
b)$\frac{x+1}{5} = -2$
c)$\frac{3}{5}x-2=x-\frac{4}{5}$

Answer 1

a)

$\frac{2x}{3} +1=7$    | -1

$\frac{2x}{3} =6$        | * 3

$2x=18$  | : 2   ⇒ x=9

b) 
$\frac{x+1}{5} = -2$

$x+1=-10$  ⇒ x=-11

c) $\frac{3x}{5} -2=x - \frac{4}{5}$

$3x-10=5x-4$

$3x-5x=10-4$

$-2x=6$

$-x=3$   | *(-1)

$x=-3$