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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.

Q: What is the solution of an equation with 2 variables x and y?

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An example could be: 3x-2 = x-6 and so the variable x = -2

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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.

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.

Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.

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An example could be: 3x-2 = x-6 and so the variable x = -2

-1

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.

An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.

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.

It is an equation with no solutions [in the given domain]. There may (or may not) be solutions if you change the domain.For example, if X is an integer, then 5X = 2 has no solution. But if you change the domain to rational numbers, then X = 2/5 or 0.4 is a solution.

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It is a linear expression in two variables, x and y. Since there is no equation in the questionthere cannot be a solution.

Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.

No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2

There can be no solution to an algebra equation because of limitations of the domain. For example,x+3 = 2 has no solution if the domain for x is the set of positive integers,x*3 = 2 has no solution if the domain for x is the set of whole numbers,x^3 = 2 has no solution if the domain for x is the set of rational numbers,x^2 = -2 has no solution if the domain for x is the set of real numbers.Alternatively, the equation has no solution if it can be reduced to a false statement. For example,x + 2 = x + 3 can be simplified to 2 = 3 which is false and so there is no solution.

A number that makes an equation true is a solution. If there is more than one answer to an equation (such as an equation like): (x-2)(x+4)=0 then it is called a solution set (and in this case would be x={-4, 2}).