Question

a) solve the equation \\( \frac{m}{2} + 9 = 12 \\).
how can you isolate m?
\\( \

$$\begin{align*}\\frac{m}{2} + 9 &= 12\\\\- 9& - 9\\\\\\frac{m}{2}&= 3\\end{align*}$$

\\) subtract 9 on both sides.
\\( \frac{m}{2} = 3 \\) \\( ? \\) \\( ? \\) on both sides.

Explanation:

Step1: Simplify the equation

The original equation is $\frac{m}{2} + 9 = 12$. First, we subtract 9 from both sides (as shown in the given steps) to get $\frac{m}{2}=12 - 9=3$.

Step2: Isolate \( m \)

To isolate \( m \), we need to multiply both sides of the equation $\frac{m}{2}=3$ by 2. So, $m = 3\times2 = 6$. For the blanks, the first blank should be "Multiply" and the second blank should be "2" because we multiply both sides by 2 to solve for \( m \).

Answer:

First blank: Multiply, Second blank: 2, and \( m = 6 \)