Question

(\frac{4}{m - 8}=\frac{8}{2})

Explanation:

Step1: Simplify the equation

The equation is $\frac{4}{m - 8}=\frac{8}{2}$. First, simplify $\frac{8}{2}$ to $4$. So the equation becomes $\frac{4}{m - 8}=4$.

Step2: Cross - multiply

Cross - multiply to get $4\times1 = 4\times(m - 8)$. Wait, actually, from $\frac{4}{m - 8}=4$, we can multiply both sides by $(m - 8)$ (assuming $m
eq8$) to get $4 = 4(m - 8)$.

Step3: Divide both sides by 4

Divide both sides of the equation $4 = 4(m - 8)$ by $4$. We have $\frac{4}{4}=\frac{4(m - 8)}{4}$, which simplifies to $1=m - 8$.

Step4: Solve for m

Add $8$ to both sides of the equation $1=m - 8$. So $m=1 + 8=9$.

Answer:

$m = 9$