anonymous
  • anonymous
Please help! :) Find the slope for the system of equations below. y=3x-4 y=-2x+7 Based on the slopes of the equations, how many solutions does this system have?
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
weirdly worded question there is no slope for the system there is however, a slope for \[ y=\color{red}3x-4\]
anonymous
  • anonymous
do you know it?
anonymous
  • anonymous
yeah i didn't get the wording :/

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anonymous
  • anonymous
i get that it's 3 and -2 but i'm not sure what the second question is asking
jim_thompson5910
  • jim_thompson5910
You are correct in saying that the slopes of the equations are 3 and -2. Since the slopes are different, this means that the lines are NOT parallel. Nonparallel lines always cross at one point. This one intersection point is the solution. In short, nonparallel lines have exactly one solution.
anonymous
  • anonymous
Thank you so much! :)
jim_thompson5910
  • jim_thompson5910
you're welcome

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