SOLUTION: what is the difference between Linear equation in one variable and Linear equation in two variables??

Question 1021609: what is the difference between Linear equation in one variable and Linear equation in two variables??
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A linear equation in one independent variable can be shown as a 2D line.
Example : is a line with slope of 2 and a y-intercept of 1.
.
.
A linear equation in two independent variables can be shown as a 3D plane.
Example : is a plane with a normal vector (-3,4,1).
.
.
So the additional variable adds an additional dimension.
Adding a third variable would make a 4D hyperplane which is more difficult to visualize but it's the same as going from 2D to 3D, now you go from 3D to 4D and so on.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the difference between Linear equation in one variable and Linear equation in two variables??
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A single linear equation has an infinite # of points,
so it has an infinite number of solutions.
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A pair of linear equations form a "System".
The system may have zero, one, or an infinite number of solutions.
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Cheers,
Stan H.
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