Question

solve the equation. what is the value of m? now, all of the variables are on the right. keep going. show that you can perform the same operation on both sides of the equation, and rewrite the equation to solve for the value of m. 5 + 2m = 7m - 2m - 2m 5 = 5m

Explanation:

Step1: Identify the operation

We have the equation \(5 = 5m\). To solve for \(m\), we need to divide both sides by 5, since the coefficient of \(m\) is 5.

Step2: Divide both sides by 5

Divide the left side \(5\) by \(5\) and the right side \(5m\) by \(5\). So, \(\frac{5}{5}=\frac{5m}{5}\).

Step3: Simplify

Simplifying both sides, we get \(1 = m\) (or \(m = 1\)). For the blanks, the first blank (under 5) is filled with dividing by 5, and the second blank (under \(5m\)) is also dividing by 5. But to find \(m\), after \(5 = 5m\), divide both sides by 5: \(\frac{5}{5}=\frac{5m}{5}\) which gives \(1 = m\).

Answer:

To solve for \(m\) from \(5 = 5m\), we divide both sides by 5. So \(\frac{5}{\boldsymbol{5}}=\frac{5m}{\boldsymbol{5}}\), and simplifying gives \(m = 1\). The values for the blanks are both 5 (the operation is dividing by 5), and the value of \(m\) is 1.