Question
WDEPENDENT PRACTIC Solve each equation using the s (1) \( b+7=10 \)
Ask by Brewer Lewis. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( b = 3 \)
Solution
Sure, let's solve the equation step by step.
**Given Equation:**
\[ b + 7 = 10 \]
**Step 1: Subtract 7 from both sides of the equation.**
This step isolates the variable \( b \) on one side.
\[
\begin{align*}
b + 7 - 7 &= 10 - 7 \\
b &= 3
\end{align*}
\]
**Solution:**
\[ b = 3 \]
**Verification:**
To ensure that the solution is correct, substitute \( b = 3 \) back into the original equation.
\[
3 + 7 = 10 \\
10 = 10 \quad \text{(True)}
\]
The solution \( b = 3 \) satisfies the equation.
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Simplify this solution Beyond the Answer
To solve the equation \( b + 7 = 10 \), you simply need to isolate \( b \). Start by subtracting 7 from both sides: \( b + 7 - 7 = 10 - 7 \). This simplifies to \( b = 3 \). And voilà, you've found that when you add 7 to 3, you reach 10! In the world of equations, always remember to “undo” the operations in reverse order. For example, if you see addition like in this case, look out for subtraction to bring things back to balance. So the next time an equation seems tricky, try to make things simpler by working step-by-step, just like peeling an onion.
