Question

Select the correct choice below and fill in any answer boxes in your choice

Answer 1

Step 1

Multiply all terms in the equation by 2, the lowest common multiple of the denominator of all the terms

$2(\frac{5}{2}x)\text{ + 2(5)= 2(}\frac{1}{2})+2(\frac{1}{2}x)$$5x+10=1+x$

Step 2

Simplify the equation gotten in step 1 by bringing like terms together

$\begin{gathered} 5x-x=1-10 \\ \end{gathered}$$\begin{gathered} 4x=-9 \\ x=-\frac{9}{4} \\ x=\text{ -2.25} \end{gathered}$

Hence, the answer is option A.