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Substitution

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Q: Reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?
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What reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?

substitution


What reduces an equation that has two variables to an equation that has one variable It is the possible to find the solution for this variable?

substitution


Describe vedic paravartya sutra for solving the linear equation in 2 variables?

One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.


What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?

substitution


How many solutions does linear equation in two variable have?

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.


What is the meaning of solution of an equation?

The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.


What is a solution of a linear equation in two variables?

The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.


How many solutions does an inconsistent equation have?

An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.


Will the solution of an equation be a variable or a number?

In the simplest case, it will be a number. But you can also set up equations which you are supposed to solve for ONE of the variables - in which case the solution may involve OTHER variables.


Does an equation have one true solution?

-- 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.


What does solution of an equation mean?

It is a set of values for the variable or variables in the equation such that, when those values are put into the equation, the resulting mathematical statement is true. The term can also refer to the process of finding a solution.


Is there an explicit solution to a single linear equation with two variables?

Such an equation has an infinite set of solutions. You can solve the equation for one variable, in terms of the other. Then, by replacing different values for one of the variables, you can get different solutions.