Question

resolva a equação: I)1/4 - 6x/(3x - 3) = 3/(x - 1)​

Answer 1

Os cálculos para chegar ao valor de x são mostrados a seguir.

Explicação passo-a-passo:

$\frac{1}{4}-\frac{6x}{3x-3}=\frac{3}{x-1}\\\\\frac{1}{4}-\frac{6x}{3(x-1)}=\frac{3}{x-1}\\\\\frac{1}{4}-\frac{2x}{x-1}=\frac{3}{x-1}\\\\\frac{1}{4}=\frac{3}{x-1}+\frac{2x}{x-1}\\\\\frac{1}{4}=\frac{3+2x}{x-1}\\\\1\,.\,(x-1)=4\,.\,(3+2x)\\\\x-1=12+8x\\\\x-8x=12+1\\\\-7x=13\\\\x=-\frac{13}{7}$