Question

3) which is the solution to the following equation?1/2x - 3 = 2- 3/4xA. 1/4B. 4C. no solutionD. infinite solutions

Answer 1

The given expression is

`(1)/(2)x-3=2-(3)/(4)x`

First, we add 3/4x to each side

`\begin{gathered} (3)/(4)x+(1)/(2)x-3=2-(3)/(4)x+(3)/(4)x \\ (6x+4x)/(8)-3=2 \\ (10x)/(8)=3+2 \\ (5x)/(4)=5 \\ 5x=5\cdot4 \\ x=4 \end{gathered}`

Hence, the answer is B. 4.