High School

To solve the equation below, you need to divide by what number?

[tex]98p = 197[/tex]

Answer :

To solve the equation [tex]\(98p = 197\)[/tex] for [tex]\(p\)[/tex], you need to isolate [tex]\(p\)[/tex] on one side. This involves performing the same operation on both sides of the equation. Here's how you can do it step-by-step:

1. Understand the equation: We have [tex]\(98p\)[/tex], which means 98 times [tex]\(p\)[/tex]. We want to find out what [tex]\(p\)[/tex] is, so we need to get [tex]\(p\)[/tex] by itself.

2. Isolate [tex]\(p\)[/tex]: To get [tex]\(p\)[/tex] by itself, you'll need to divide both sides of the equation by the number that is currently multiplying [tex]\(p\)[/tex], which in this case is 98.

3. Divide both sides by 98:
[tex]\[
\frac{98p}{98} = \frac{197}{98}
\][/tex]

4. Simplify: On the left side, the 98 cancels out, leaving you with:
[tex]\[
p = \frac{197}{98}
\][/tex]

Therefore, to solve the equation [tex]\(98p = 197\)[/tex], you need to divide by 98.