shaunalab
shaunalab shaunalab
  • 12-02-2018
  • Mathematics
contestada

How many solutions does the following system have?
y = 2x - 12
y = 3x + 12

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jimthompson5910 jimthompson5910
  • 12-02-2018
The two slopes of the two equations are 2 and 3 respectively. They are the values just to the left of the x. Since the slopes are different, this means the lines are angled so that they are not parallel.

Non-parallel lines will cross exactly one time. So there is exactly one solution.
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