SOLUTION: You now have had practice solving equations with one variable and equations with two variables. Compare equations with one variable to equations with two variables. How are they

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Question 106851: You now have had practice solving equations with one variable and equations with
two variables. Compare equations with one variable to equations with two variables.
How are they alike? How are they different?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
An one+variable equation is a line in a two-dimensional "space".
Example: x+%96+5+=+3 => x+=+8 this represents a line parallel to y-axis that start from the number x=8. In fact it is a constant number.
Now, if u have a two+variable equation like y+%2B+x+=+1 => y+=+-x+%2B1 it represents the linear+equation(also a line) in two-dimensional space.
however, a two variable equation doesn’t have always to represent a line, it could represent quadratic equation, or circle (which make them different to one variable equations) like this equations:
x%5E2%2By%5E2=16 is a two variable equation too, but now represents a circle.
++y=x%5E2+ represents the quadratic equation (the graph is a parabola) in two-dimensional space.


conclusion:
one-variable equation is representating of a number (2D)
two-variables equation is representing curves in two dimensions (2D)