Find a system of 2 linear equations in x and ywhose solution set is given by the parametric equations: x=t, y= 5t-2.
2006-09-27 13:56:08 · 2 answers · asked by yanesh_r 1 in Science & Mathematics ➔ Mathematics
5x-y=2 is one of them. Now if you want another then just multiply this equation by a number, such as
10x-2y=4.
You can't have a second equation which is not a multiple of the above, because otherwise you have a non-singular system which would imply a unique solution. You have infinitely many solutions as for each different value of t you get a new solution.
2006-09-27 16:16:04 · answer #1 · answered by firat c 4 · 1⤊ 0⤋
There is but one solution: y = 5x - 2. So for whatever x you assign, there will be a y value. This is a straight line with y intercept at y = -2 and a slope of m = 5 y units/x unit.
Did you copy the problem correctly? Check your t's, might there be a t^2 in there somewhere?
2006-09-27 14:04:35 · answer #2 · answered by oldprof 7 · 1⤊ 0⤋