Question

math journal how can you reason about the equation $8b + 3 = 35$ to find the value of $b$?

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( b \), we subtract 3 from both sides of the equation \( 8b + 3 = 35 \). This gives us \( 8b + 3 - 3 = 35 - 3 \), which simplifies to \( 8b = 32 \).

Step2: Divide both sides by 8

Now, to solve for \( b \), we divide both sides of the equation \( 8b = 32 \) by 8. So, \( \frac{8b}{8} = \frac{32}{8} \), which simplifies to \( b = 4 \).

Answer:

The value of \( b \) is 4. To find it, first subtract 3 from both sides of the equation \( 8b + 3 = 35 \) to get \( 8b = 32 \), then divide both sides by 8 to obtain \( b = 4 \).