SOLUTION: I'm trying to create a system of linear equations using my running habbits. I run 2 miles on monday, 3 miles on wensday, and 4 miles on friday. I would like to use the variables

Algebra ->  Linear-equations -> SOLUTION: I'm trying to create a system of linear equations using my running habbits. I run 2 miles on monday, 3 miles on wensday, and 4 miles on friday. I would like to use the variables       Log On


   



Question 174511: I'm trying to create a system of linear equations using my running habbits. I run 2 miles on monday, 3 miles on wensday, and 4 miles on friday. I would like to use the variables x,y,z.
I came up with M=2M+3W+4F, but it's like a function instead of a system of linear equations like I'm trying to do..I'm stuck, please help:)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= the number of miles run on a particular day
Let y= the day of the week with Moday = 0, tuesday = 1, etc.
If I try to make a plot of (x,y) points on a graph,
I have the points
{2,0)
(3,2)
(4,4)
Now I have to see what kind of curve goes through
these points. Hopefully, it's a straight line
The point-slope formula using the outside points is:
%284+-+0%29%2F%284+-+2%29+=+m
m+=+2
The equation would be
%28y+-+0%29%2F%28x+-+2%29+=+2
y+=+2%2A%28x+-+2%29
y+=+2x+-+4
Does this equation contain the point (3,2)?
2+=+2%2A3+-+4
2+=+6+-+4
2+=+2 yes
So, y+=+2x+-+4 is the equation