College

Solve for [tex]r[/tex].

\[
\begin{array}{c}
r + 62 = 111 \\
r + 62 - 62 = 111 - 62 \\
r = ?
\end{array}
\]

Answer :

To solve the equation [tex]\( r + 62 = 111 \)[/tex], we want to find the value of [tex]\( r \)[/tex]. Here's a step-by-step guide to isolate [tex]\( r \)[/tex]:

1. Start with the original equation:
[tex]\[
r + 62 = 111
\][/tex]

2. To isolate [tex]\( r \)[/tex], subtract 62 from both sides of the equation. This is done to eliminate the 62 on the left side:
[tex]\[
r + 62 - 62 = 111 - 62
\][/tex]

3. Simplify both sides of the equation:
- On the left side, [tex]\( r + 62 - 62 \)[/tex] simplifies to [tex]\( r \)[/tex].
- On the right side, [tex]\( 111 - 62 \)[/tex] equals 49.

4. Therefore, the equation simplifies to:
[tex]\[
r = 49
\][/tex]

So, the value of [tex]\( r \)[/tex] is 49.