Question

Cum rezolv ?
$\frac{3x-1}{x-2} = \frac{2}{3}$

Answer 1

2(x-2)=3(3x-1)
2x-4=9x-3
9x-2x=-4+3
7x=-1
x=-1/7

Raspuns: $\boxed{\sf -\frac{1}{7}}$

Answer 2

Folosim proprietatea fundamentala a proportiilor ... (produsul extremilor=prod. miezilor)
3(3x-1) = 2(x-2)  ⇒ 9x-3 = 2x-4  adica: 9x-2x=-4+3  ⇔ x = - 1/7