It can comprise all the points of a curve (including a line) in 2-dimensional space. There are only a few, exceptional, cases when one equation in two variables will give a single point as a solution.
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A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
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Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.
X+Y=2 There are a variety of answers to this equation since there are two variables, x and y. For example, X can be .5 while Y is 1.5. Or, X can be -3 while Y can be 5. There is no solution to this problem.
No! To get the solution number of unknown variables must be equal to the number of equations. [For example, In this case, two variables (x and y) are involved but only one equation is given. so, we need one more equation having same two variables to get the solution.] If there is no other equation then value of any one of the variables involved (x or y) must be given to ind the value of the other unknown variable.