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5 votes
2x+3y=-6
3x-4y=-12

How many solutions does this system have?

1 Answer

5 votes

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:

Since we found unique values for x and y, the system has one solution.

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