Question

How many solutions does the equation have?

1/2x+6=1/4(2x−24)
The equation has
one solution
no solution.
infinitely many solutions.
two solutions.

Answer 1

No Solution

Explanation:

1/2x+6=1/4(2x-24)

Distribute numbers in parenthesis

1/2x+6=1/2x-6

When you try to move both of the x's to the same side, you are left with 0x

6≠-6

Therefore no solution

Answer 2

It has zero solutions since its a contradiction