Question

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -1/2x+3=4-1/4x?
a. -1/4x=1
b. -3/4x=1
c. 7=1/4x
d. 7=3/4x

Answer 1

Answer:

A. $\boxed{-\frac{1}{4}x=1}$

Step-by-step explanation:

The given equation is

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

We group the constant terms on the right hand side and the variable terms on the other side of the equation to obtain;

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

We collect LCM of the denominators of the variable terms to get;

 $(\frac{-2+1}{4})x=1$

We simplify to get;

 $-\frac{1}{4}x=1$