y = 5x and y = 1/5x
A. One solution
B. No solution
C. Infinite solution
I don't know how to do this stuff
3 answers
linear**
If your equations are y = 5x and y = (1/5)x , the way you typed it,
then you have two straight lines which intersect at (0,0) only
If your equations are y = 5x and y = 1/(5x), then you have a straight line
and a curve which intersect at two points.
5x = 1/(5x)
25x^2 = 1
5x = ± 1
x = ± 1/5 and y = ± 1, the two points are (1/5, 1) and (-1/5, -1)
www.wolframalpha.com/input/?i=y+%3D+5x+%2C+y+%3D+1%2F%285x%29
then you have two straight lines which intersect at (0,0) only
If your equations are y = 5x and y = 1/(5x), then you have a straight line
and a curve which intersect at two points.
5x = 1/(5x)
25x^2 = 1
5x = ± 1
x = ± 1/5 and y = ± 1, the two points are (1/5, 1) and (-1/5, -1)
www.wolframalpha.com/input/?i=y+%3D+5x+%2C+y+%3D+1%2F%285x%29
the two lines have different slopes, so they are not parallel.
So they must intersect at one point.
So they must intersect at one point.