Question

Solve by transposition and verify.
x-1/2=2x-3/3​

Answer 1

Answer:

$x - \frac{1}{2} = \frac{2x - 3}{3} \\ \\ \\ \frac{2x - 1}{2} = \frac{2x - 3}{3} \\ \\ \\ 6x - 3 = 4x - 6 \\ \\ \\ 2x = - 3 \\ \\ \\ x = \frac{ - 3}{2}$

Answer 2

$\bold{ x - \frac{1}{2} = 2x - \frac{3}{3} } \\ \\ \bold{x - \frac{1}{2} = 2x - \frac{ \cancel3}{ \cancel3} } \\ \\ \bold{x - \frac{1}{2} = 2x - 1} \\ \\ \bold{x - 2x = - 1 + \frac{1}{2} } \\ \\ \bold{ - x = - \frac{1}{2} } \\ \\ \boxed{ \bold{x = \frac{1}{2} }} \\ \\ \red{ \bold{ \bigstar \: verification \: \ratio}} \\ \\ ( \frac{1}{2} ) - \frac{1}{2} = 2( \frac{1}{2} ) - \frac{3}{3} \\ \\ 0 = 0$