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Question
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$y = -x - 1$
$y = -\frac{3}{5}x + 1$
how many solutions does the system of equations have?
Step1: Analyze line properties
The system has two linear equations: $y = -x - 1$ (green line) and $y = -\frac{3}{5}x + 1$ (purple line). They have different slopes ($-1$ vs. $-\frac{3}{5}$), so they are not parallel.
Step2: Determine intersection count
Non-parallel linear lines in a plane intersect at exactly one point.
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