Question

#7
7n + 5 = 68
1 point
what is the first step to solve equation #7?

• divide both sides by 7
• subtract both sides by 7
• subtract 5 from both sides
• add 5 to both sides

1 point
what is the second step to solve equation #7?

• subtract both sides by 5
• divide both sides by 7
• add 5 to both sides
• multiply both sides by 7

1 point
what is the solution to equation #7?

• n = 7
• n = 9
• n = 7
• none of the above

Explanation:

First Sub - Question (What is the first step to solve equation #7? \(7n + 5=68\))

Step1: Recall solving linear equations

To solve a linear equation of the form \(ax + b=c\), we first isolate the term with the variable. Here, the equation is \(7n+5 = 68\), so we need to get rid of the constant term (\(+ 5\)) on the left - hand side first. We do this by subtracting 5 from both sides.

Step1: After first step

After subtracting 5 from both sides of \(7n + 5=68\), we get \(7n=68 - 5=63\). Now, to solve for \(n\), we need to isolate \(n\). Since \(n\) is multiplied by 7, the next step is to divide both sides by 7.

Step1: Subtract 5 from both sides

Starting with \(7n+5 = 68\), subtract 5 from both sides: \(7n+5-5=68 - 5\), which simplifies to \(7n=63\).

Step2: Divide both sides by 7

Divide both sides of \(7n = 63\) by 7: \(\frac{7n}{7}=\frac{63}{7}\), so \(n = 9\).

Answer:

C. Subtract 5 from both sides

Second Sub - Question (What is the second step to solve equation #7? \(7n + 5=68\))