There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
If an equation simplifies such that the variable cancels out and results in a true statement (like (5 = 5)), it has infinitely many solutions. This is because any value of the variable will satisfy the equation. Conversely, if the simplification leads to a false statement (like (5 = 3)), it has no solutions.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
-- A single equation with more than one variable in it has infinitely many solutions. -- An equation where the variable drops out has infinitely many solutions. Like for example x2 + 4x -3 = 0.5 (2x2 + 8x - 6) As mean and ugly as that thing appears at first, you only have to massage it around for a few seconds to get -3 = -3 and that's true no matter what 'x' is. So any value for 'x' is a solution to the equation, which means there are an infinite number of them.
Inequalities tend to have infinitely many solutions.
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.
If an equation simplifies such that the variable cancels out and results in a true statement (like (5 = 5)), it has infinitely many solutions. This is because any value of the variable will satisfy the equation. Conversely, if the simplification leads to a false statement (like (5 = 3)), it has no solutions.
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
Infinitely many
If the solution contains one variable which has not been fixed then there are infinitely many solution.
-- A single equation with more than one variable in it has infinitely many solutions. -- An equation where the variable drops out has infinitely many solutions. Like for example x2 + 4x -3 = 0.5 (2x2 + 8x - 6) As mean and ugly as that thing appears at first, you only have to massage it around for a few seconds to get -3 = -3 and that's true no matter what 'x' is. So any value for 'x' is a solution to the equation, which means there are an infinite number of them.
It has infinitely many solutions.
Inequalities tend to have infinitely many solutions.
Is a trigonometric equation which has infinitely many real solutions.
yo mammaa
The equation has infinitely many solutions.