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

A.
`\boxed{-(1)/(4)x=1}`

Explanation:

The given equation is

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

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

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

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

We simplify to get;

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