|
Question 412185: Could you please help me with a couple of problems? They don't make sense.How would you solve x+y=3?
x=4
And how would you graph it using one solution, no solution, and many solutions.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The second equation gives you half of your answer straight up without having to do anything. Substitute that value for x into the first equation and then solve for y. The x and y values then form an ordered pair (x,y) that represents your solution.
If you end up with a triviality, such as 0 = 0, then you have a consistent and dependent system, i.e. infinite solutions. The graphical equivalent is that the two equations graph to the same line.
If you end up with an absurdity, such as 3 = 0, then you have an inconsistent system, i.e. no solution. The graphical analogue is parallel lines.
If you end up with y = some specific number, then you have a consistent and independent system, i.e. one solution. The graphical analogue is a pair of intersecting lines that intersect at the point represented by the solution set of the system.
John
My calculator said it, I believe it, that settles it
|
|
|
| |
