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?

Question

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?

anonymous · Answer

weirdly worded question
there is no slope for the system
there is however, a slope for 
$$ y=\color{red}3x-4$$

anonymous · Answer

do you know it?

anonymous · Answer

yeah i didn't get the wording :/

anonymous · Answer

i get that it's 3 and -2 but i'm not sure what the second question is asking

jim_thompson5910 · Answer

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 · Answer

Thank you so much! :)

jim_thompson5910 · Answer

you're welcome