Algebra-1

Question Analysis
This question requires students to solve a system of equations consisting of one quadratic equation and one linear equation. The solution involves substituting the linear equation into the quadratic equation to form a single quadratic equation in , solving for .

Key Concept Explanation
The key concept here is the substitution method for solving systems of equations. By substituting the linear equation into the quadratic equation, we can eliminate one variable and solve the resulting quadratic equation.

Step-by-step Solution
1. Substitute into :

2. Rearrange the equation to standard quadratic form:

3. Solve the quadratic equation using the quadratic formula