Algebra-1

Question Analysis
This question tests the student's ability to solve a system of linear and quadratic equations algebraically using the substitution method. The key is to substitute the linear equation into the quadratic equation and then solve the resulting quadratic equation.

Key Concept Explanation
The substitution method involves expressing one variable from one equation and substituting it into the other equation. For systems with -expressions, substitute the linear equation into the quadratic equation to eliminate and form a single quadratic equation in .

Step-by-step Solution
1. Substitute into the quadratic equation :

2. Rearrange the equation to standard quadratic form:

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