Question

Solve |2x - 1| = 3x - 4

Answer 1

`|2x-1|=3x-4\implies \pm(2x-1)=3x-4\implies \begin{cases} +(2x-1)=3x-4\\ -(2x-1)=3x-4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(2x-1)=3x-4\implies -1=x-4\implies \boxed{3=x} \\\\[-0.35em] ~\dotfill\\\\ -(2x-1)=3x-4\implies 2x-1=4-3x\implies 5x-1=4 \\\\\\ 5x=5\implies x=\cfrac{5}{5}\implies \boxed{x=1}`

Answer 2

Answer:i gotchu bro

Explanation:

2x-1=3x-4

2x-3x=-1+4

x=3