Math Problem Statement
2x +3 + 5x = -18 Two column proof
Solution
To solve the equation using a two-column proof, we can format it as follows:
Steps (Statements) | Reasons (Justifications) |
---|---|
1. | Given Equation |
2. | Combine like terms |
3. | Subtract 3 from both sides |
4. | Simplify |
5. | Divide both sides by 7 |
6. | Simplify |
Solution:
The solution to the equation is .
Would you like more details or have any questions?
5 Related Questions:
- How would you check if is correct in the original equation?
- What are some other methods to solve this equation?
- How do we apply a two-column proof in geometry compared to algebra?
- What happens if there were no solution or infinitely many solutions?
- How would this change if the equation involved fractions or decimals?
Tip:
When solving algebraic equations, always check your solution by substituting it back into the original equation to verify its accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Basic equation solving: combining like terms, isolating variables
Theorems
Addition property of equality
Division property of equality
Suitable Grade Level
Grades 6-8