Question
\( 1< \)\begin{tabular}{l|l} & Solve using the addition principle. Don't forget to check. \\ \( x+3=15 \)\end{tabular}\( \quad \) The solution is \( x=\square \).
Ask by Dawson Evans. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution is \( x = 12 \).
Solution
We are given the equation:
x + 3 = 15
To solve using the addition (or subtraction) principle, we want to isolate x. Since 3 is added to x, we do the inverse operation (subtract 3) on both sides of the equation.
Subtract 3 from both sides:
x + 3 – 3 = 15 – 3
x = 12
Checking the solution by substituting x = 12 back into the original equation:
12 + 3 = 15
15 = 15
The check confirms our solution.
Thus, the solution is:
x = 12
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Simplify this solution Mind Expander
To solve the equation \( x + 3 = 15 \) using the addition principle, we can isolate \( x \) by subtracting 3 from both sides. This gives us: \[ x + 3 - 3 = 15 - 3 \] \[ x = 12 \] Now, let’s check our solution by substituting \( x = 12 \) back into the original equation: \[ 12 + 3 = 15, \] which is true! So, the solution is \( x = 12 \). Don't forget to celebrate this little victory in math; every solved equation is a step towards mastering algebra!
