Question

week 2: proportions and applications using proportions
due nov 9 by 11:59pm points 10 submitting an external tool
question
solve: \\( \frac { 3 m + 8 } { 8 } = \frac { m - 1 } { 3 } \\).
provide your answer below:
\\( m = \square \\)

Explanation:

Step1: Cross - multiply

Cross - multiply the given proportion \(\frac{3m + 8}{8}=\frac{m - 1}{3}\) to get \(3(3m + 8)=8(m - 1)\).
Using the distributive property \(a(b + c)=ab+ac\), we have \(9m+24 = 8m-8\).

Step2: Isolate the variable \(m\)

Subtract \(8m\) from both sides of the equation \(9m+24 = 8m - 8\).
\(9m-8m+24=8m-8m - 8\), which simplifies to \(m+24=-8\).
Then subtract \(24\) from both sides: \(m+24 - 24=-8 - 24\).

Answer:

\(m=-32\)