High School

Solve for [tex]b[/tex].

[tex]\frac{b}{3} - 2 = 1.57[/tex]

Write your answer as a decimal, whole number, or fraction in lowest terms.

[tex]b =[/tex]

Answer :

Sure! Let's solve the equation step-by-step to find the value of [tex]\( b \)[/tex].

The equation given is:

[tex]\[
\frac{b}{3} - 2 = 1.57
\][/tex]

Step 1: Add 2 to both sides of the equation to isolate [tex]\(\frac{b}{3}\)[/tex].

[tex]\[
\frac{b}{3} - 2 + 2 = 1.57 + 2
\][/tex]

Simplifying this gives:

[tex]\[
\frac{b}{3} = 3.57
\][/tex]

Step 2: Multiply both sides by 3 to solve for [tex]\( b \)[/tex].

[tex]\[
b = 3.57 \times 3
\][/tex]

When you multiply, you get:

[tex]\[
b = 10.71
\][/tex]

Therefore, the solution is:

[tex]\[
b = 10.71
\][/tex]

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