Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Type the correct answer in the box. Use numerals instead of words.

What value of [tex]\( n \)[/tex] makes the equation true?

[tex]\[
\begin{array}{l}
-\frac{1}{5} n + 7 = 2 \\
n = \square
\end{array}
\][/tex]

Sagot :

GinnyAnswer
Sure! To solve for [tex]\( n \)[/tex] in the equation

[tex]\[ -\frac{1}{5} n + 7 = 2 \][/tex]

we need to isolate [tex]\( n \)[/tex]. Let's go through the steps:

1. Start with the given equation:
[tex]\[ -\frac{1}{5} n + 7 = 2 \][/tex]

2. Subtract 7 from both sides to move the constant term to the other side:
[tex]\[ -\frac{1}{5} n = 2 - 7 \][/tex]

3. Simplify the right side:
[tex]\[ -\frac{1}{5} n = -5 \][/tex]

4. To isolate [tex]\( n \)[/tex], multiply both sides by [tex]\(-5\)[/tex]:
[tex]\[ n = -5 \times -5 \][/tex]

5. Simplify the right side:
[tex]\[ n = 25 \][/tex]

Thus, the value of [tex]\( n \)[/tex] that makes the equation true is

[tex]\[ \boxed{25} \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.