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?

Answer 1

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

Answer 2

do you know it?

Answer 3

yeah i didn't get the wording :/

Answer 4

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

Answer 5

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.

Answer 6

Thank you so much! :)

Answer 7

you're welcome