Math Problem Statement
Solution
Let's solve this step by step.
You are given two equations:
You need to substitute the first equation into the second.
Step 1: Substitute into .
Step 2: Simplify the equation.
Step 3: Solve for .
Subtract from both sides:
Multiply both sides by -1:
Conclusion:
The correct equation resulting from the substitution is .
So the correct answer is D.
Do you want more details on this solution or have any questions?
Here are some related questions for further practice:
- How would you solve for after finding ?
- What happens if the equation is substituted into another equation?
- Can you graph both equations and and find their intersection point?
- How would the solution change if the equation was instead of ?
- How would you approach solving the system if both equations were quadratic instead of linear?
Tip: Always check your final answer by substituting it back into the original equations to verify correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Substitution Method
Linear Equations
Formulas
y = x + 20
x = 2y - 1
Theorems
Substitution in linear equations
Suitable Grade Level
Grades 9-10
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