QUESTION IMAGE
Question
- how many solutions does this system have?
Step1: Analyze the graph
The graph shows a single straight line (since there's only one red line). A system of linear equations represented by a single line means the equations are dependent (they are the same line).
Step2: Determine the number of solutions
For a system of linear equations, if the lines are coincident (the same line), there are infinitely many solutions because every point on the line is a solution to both equations (which are actually the same equation in this case).
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Infinitely many