Algebra-1

Question Analysis
This question evaluates the student's ability to solve a system of linear and quadratic equations algebraically. The system includes a quadratic equation and a linear equation, and the aim is to find the values of that satisfy both equations simultaneously.

Key Concept Explanation
The key concept here is the substitution method, where the linear equation is substituted into the quadratic equation to form a single quadratic equation in . The resulting quadratic equation can then be solved using factoring, completing the square, or the quadratic formula.

Step-by-step Solution
1. Substitute into :