To solve the equation [tex]\( 133 = 41s + 10 \)[/tex] for [tex]\( s \)[/tex], the correct sequence of steps is:
Step 1: Subtract 10 from each side.
Step 2: Divide each side by 41.
Let's go through these steps in detail:
1. Step 1: Subtract 10 from each side
We start with the given equation:
[tex]\[
133 = 41s + 10
\][/tex]
Subtract 10 from both sides to isolate the term with [tex]\( s \)[/tex] on one side of the equation:
[tex]\[
133 - 10 = 41s
\][/tex]
Simplifying the left-hand side, we get:
[tex]\[
123 = 41s
\][/tex]
2. Step 2: Divide each side by 41
Now we need to solve for [tex]\( s \)[/tex] by getting rid of the coefficient 41. We do this by dividing both sides of the equation by 41:
[tex]\[
\frac{123}{41} = s
\][/tex]
Simplifying the division, we get:
[tex]\[
s = \frac{123}{41} = 3.0
\][/tex]
Hence, the solution to the equation [tex]\( 133 = 41s + 10 \)[/tex] is [tex]\( s = 3.0 \)[/tex].
