describe the graph of a linear system that has only 1 solution.
2007-01-25 13:01:22 · 7 answers · asked by NABEELiOS 1 in Science & Mathematics ➔ Mathematics
A linear system has one solution when the two lines cross at exactly one point.
Graphically, what you will see is some sort of "X" pattern.
What you *won't* see are parallel lines, or two lines which are exactly the same.
2007-01-25 13:08:27 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
If a system has one solution, then the lines intersect in exactly one spot.
If a system has infinite solutions, then the lines coexist (are the same line)
If a system has no solution, then there is no point where all lines intersect.
These work for any number of dimensions. The most common is 2 but I have my students consider 3.
I hope this helps.
2007-01-25 13:18:26 · answer #2 · answered by tval_friedly 2 · 0⤊ 0⤋
the linear equipment having a relation ensuing into some consistent shall have only one answer to illustrate 3x +2y=5 is a equipment with only one answer it is (a million,a million). The equipment like x=x^2 would do not have any answer The equipment like 2x+3y>2 would have many ideas for x and y. So that is an celebration of linear equipment with infinity ideas
2016-10-16 02:56:32 · answer #3 · answered by ? 4 · 0⤊ 0⤋
If it has only one solution then that solution is a point on the graph
2007-01-25 13:16:33 · answer #4 · answered by J C 5 · 0⤊ 0⤋
If the lines intersect, the equations have one solution.
2007-01-25 13:09:26 · answer #5 · answered by xjgege 2 · 0⤊ 0⤋
It only had one solution
2007-01-25 13:08:39 · answer #6 · answered by da_hammerhead 6 · 0⤊ 0⤋
thier slopes are different
2007-01-25 13:13:58 · answer #7 · answered by aznskillz 2 · 0⤊ 0⤋