Question

#2
4n + 1 = 25
what is the first step to solve equation #2?

• subtract 4 from both sides
• add 1 to both sides
• divide both sides by 4
• subtract 1 from both sides

what is the second step to solve equation #2?

• divide both sides by 4
• add 4 to both sides

Explanation:

First Sub - Question (First Step)

To solve the equation \(4n + 1=25\), we use the inverse operations. The term with the variable \(n\) is \(4n\), and there is a \( + 1\) attached to it. To isolate the term with \(n\) (i.e., \(4n\)), we need to get rid of the \(+1\) on the left - hand side. The inverse operation of addition is subtraction, so we subtract 1 from both sides of the equation. This will give us \(4n+1 - 1=25 - 1\), or \(4n = 24\).

After the first step, we have the equation \(4n=24\). Now, to solve for \(n\), we need to isolate \(n\). Since \(n\) is multiplied by 4, the inverse operation of multiplication is division. So we divide both sides of the equation \(4n = 24\) by 4. This gives us \(\frac{4n}{4}=\frac{24}{4}\), or \(n = 6\).

Answer:

D. Subtract 1 from both sides

Second Sub - Question (Second Step)