Consider the system of equations: . Solve for and using the substitution method. _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the substitution method to solve a system of linear equations. The given system has one equation already in the form .
Key Concept Explanation
The substitution method involves expressing one variable in terms of the other and then substituting this expression into the other equation to eliminate one of the variables.
Step-by-step Solution
1. The second equation is already in the form .
2. Substitute into the first equation: .
3. Simplify to get , so .
4. Solve for :
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