Q: Is it necessary that equation has at least one variable?

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When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.

substitution

-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.

There are several techniques to solve linear equations. One common technique is the elimination method, where you eliminate one variable by adding or subtracting equations. Another technique is substitution, where you solve one equation for a variable and substitute it into the other equation. You can also use matrices and row operations to solve linear equations.

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.

Related questions

Literal Equation

it is a one-step equation

Simultaneous equation* * * * *No, simultaneous equations are two or more equations that have all to be true at the same time (simultaneously) for the solution.An equation with more than one variable is a multivariate equaion.Area = 0.5*Length*Height or a = 0.5*l*h for the area of a triangle has more than one variables, but it is certainly not simultaneous.An equation with a variable is called a single variable equation. An equation that has more than one variable is called as a multi-variable equation. A polynomial equation has one variable in different powers: a common example is quadratic equations.

linear equation in one variable

When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.

substitution

It is to make the variable the subject of the equation.

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.

rRestate the equation as A = 3.14r2.The independent variable is the one you are given - in this case, 'r'.The dependent variable is the one you have to work out (it depends on the other variable). In this case, A.

substitution

Substitution

substitution