Question #6443992Fill in the Blank
Algebra-1
Question
If the system of equations is solved, the number of solutions is _____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the different possible cases of solutions for a system of equations. The student needs to recognize that the given system of equations is dependent and has infinitely many solutions.
This question tests the student's understanding of the different possible cases of solutions for a system of equations. The student needs to recognize that the given system of equations is dependent and has infinitely many solutions.
Key Concept Explanation
The key concept here is that a system of equations can have a unique solution (if the lines intersect at one point), no solution (if the lines are parallel), or infinitely many solutions (if the lines coincide).
The key concept here is that a system of equations can have a unique solution (if the lines intersect at one point), no solution (if the lines are parallel), or infinitely many solutions (if the lines coincide).
Step-by-step Solution
1. Observe the given system of equations: .
2. Notice that the second equation is a multiple of the first equation:
1. Observe the given system of equations: .
2. Notice that the second equation is a multiple of the first equation:
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