Question 12338
here is a link to an explanation on consistency and dependency...

http://mathforum.org/library/drmath/view/62538.html


When you say graphically, to me that means you have been asked to plot the graphs properly, rather than sketch them and work out just the salient points, like axes-intercepts and roots.


So, to graph them, pick values of x, put them in both equations (seperately) to get 2 sets of y-values. Then plot.

f(x)
y=x+1 is a straight line like / that goes through the y-axis at y=1.


now g(x)...i am not sure how to read this..you need to use brackets...
either
1. y=(2/3)x is another straight line passing through the orign
OR
2. y=2/(3x) is a 2-part curve, broken at the x=0 and y=0 lines


if g(x) is 1, then there is 1 solution... one point where the 2 equations cross

if g(x) is 2, then there will be 2 solutions... two points where the 2 equations cross.


hope this helps


jon.