Final answer:
To determine the number of solutions for the given system of linear equations, the elimination method is used, resulting in one unique solution.
Step-by-step explanation:
The student is asking about the number of solutions to a system of linear equations:
To determine the number of solutions, we can use various methods, including graphing, substitution, elimination, or matrix operations. Here, we'll use the elimination method to see if we can derive a unique solution (one solution), no solution, or if the system is dependent (infinitely many solutions).
Step-by-step solution using elimination method:
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Since we found unique values for x and y, the system has one solution.