Answer:
Explanation:
AI-generated answer
To determine the number of solutions for the given system of equations, we can use the concept of linear equations and their solutions.
1. The system of equations is:
x + 4y = 7 (Equation 1)
-3x - 11y = 8 (Equation 2)
2. To determine the number of solutions, we can check if the system of equations has a unique solution, no solution, or infinitely many solutions.
3. We can solve the system of equations by using different methods such as substitution or elimination.
4. If we solve the system of equations, we find that the two equations are not equivalent and do not have the same slope. Therefore, they represent two intersecting lines.
5. Since the two lines intersect at a single point, the system of equations has one unique solution.
Therefore, the system of equations has one solution.