Consider the system of equations and . Solve the system algebraically 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. The student needs to substitute the linear equation into the quadratic equation and solve for .
Key Concept Explanation
The key concept here is the substitution method, where one equation is substituted into the other to form a single equation in one variable.
Step-by-step Solution
1. Substitute into :
2. Rearrange the equation to standard quadratic form:
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