Question

I NEED HELP FAST!!!!!!!!!! ⦁ Solve the equation. Describe the solution to the equation as one solution, no solution, or an infinite number of solutions. If there is one solution, then include the value for the variable. Explain your reasoning. Show all your work.
1/8(x+24)=5/8x+9-1/2x

Answer 1

$\frac{1}{8} (x + 24) = \frac{5}{8} x + 9 - \frac{1}{2} x \\ \\ \frac{x + 24}{8} = \frac{5}{8} x + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{5x}{8} + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x+ 24}{8} = \frac{5x}{8} + 9 - \frac{x}{2} \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{x}{8} + 9 \ / \ simplify \\ \\ x + 24 = x + 72 \ / \ multiply \ each \ side \ by \ 8 \\ \\ 24 = 72 \ / \ cancel \ x \\ \\ no \ solution$

The final result is: no solution.

Answer 2

1/8(x+24)=5/8x+9-1/2x
1/8x + 3 = 5/8x - 4/8x + 9
1/8x + 3 = 1/8x + 9
3 ≠ 9

This equation has 0 solutions, or NO solution.