Consider the system of equations: and . Find the value of that satisfies both equations.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to solve a system of linear and quadratic equations algebraically using the substitution method. The goal is to find the value of that satisfies both equations.
Key Concept Explanation
The key concept here is the substitution method, where one equation is substituted into the other to eliminate one variable and form a single equation in the remaining variable.
Step-by-step Solution
1. Substitute into the quadratic equation :
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