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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.

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โˆ™ 2016-11-10 11:04:20
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โˆ™ 2016-11-10 13:20:22

You can actually solve the equation. With some experience with equations, you will eventually know that equations of a certain form will have exactly one solution (for example, a linear equation); while a polynomial equation of degree 2 typically has 2 solutions, and certain types of trigonometric equations have infinitely many solutions (this is due to the periodicity of the trigonometric functions) - but there is really no simple or universal way to tell in advance how many solutions a given equation has.

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Q: How can you tell when an equation in one variable has infinitely many solutions or no solutions?
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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.


How many solutions are there to the equation below?

Infinitely many


Explain how to identify whether an equation has no solution or infinitely many solutions?

An equation can be determine to have no solution or infinitely many solutions by using the square rule.


When you solve equation describe how you know when there will be a infinite solutions?

If the solution contains one variable which has not been fixed then there are infinitely many solution.


An equation has one solution?

A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.


What does it mean if an equation equals 0 does it have one solution no solution or indefinitely many solutions?

It has infinitely many solutions.


How do you know when a equation has an infinte number of solutions?

-- 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.


Sec2x equals 3?

Is a trigonometric equation which has infinitely many real solutions.


How many solution does a linear inequality in one variable have?

Inequalities tend to have infinitely many solutions.


How many solutions does a 2 variable equation have?

yo mammaa


A system of linear equation in two variables can have how many solutions?

one, zero, infinitely many.


How many solutions does an equation have when you isolate the variable and it equals constant?

As many solutions as there are points in the domain.


What is the solution of 4y minus x equals 10?

The equation has infinitely many solutions.


What are solutions of trigonometric equations?

That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.


How many solutions does an equation have when the variable adds out and the final sentence is false?

none


How many solutions are there to the equation below 11x - 99 11(x - 9)?

There are infinitely many solutions to 11x - 99 = 11(x - 9)


Does an open sentence have to be an equation?

No, it can be an inequality, such as x+5>2. An inequality usually has (infinitely) many solutions.


How do you know when an equation has infinitely many solutions or no solution?

They Are infinitely many solutions for an equation when after solving the equation for a variable(let us suppose x),we get the expression 0 = 0. Or Simply L.H.S = R.H.S For Ex. x+3=3+x x can have any value positive or negative, rational or irrational, it doesn't matter the sequence will be infinite. And No Solutions when after solving the equations the expression obtained is unequal For Ex. x+3=x+5 for every value of x, The Value in L.H.S And R.H.S. will differ. Hence It Has No Solutions.


What are inifintly equations?

Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.


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.


Which best explains why the equation 7x plus 3 equals 7x plus 3 has infinitely many solutions?

Strictly speaking the above equation is a tautological equation or an IDENTITY. An identity is true for all values of any variables that appear in it. Thus, the above "equation" is true for all value of x. - that is, it has infinitely many solutions.


How do you know when an equations has infinitly many solutions?

An equation must have 1, 0, or infinitely many solutions. So if you find 1 and there is another, you have know it has infinitely many. For example. 0x+2=2 I solve this and the equations become 0x=0 Now, 1 is a solutions, but so is 2. I now know there are infinitely many. How about 0x+2=3. No solution and 2x+2=4, has one solution. I put those two here so you might try other numbers and see that they have no solutions and one solution. A special type of equation known as an identity is an equation that holds for all numbers. This means it has infinitely many solutions.


When you use the substitution method how can you tell that a has an infinite number of solutions?

If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.


Can linear system that has more unknowns than equation be consistent?

yes it can . the system may have infinitely many solutions.


What 3D shapes has a one square base?

There are infinitely many possible solutions. The question needs to be more specific.There are infinitely many possible solutions. The question needs to be more specific.There are infinitely many possible solutions. The question needs to be more specific.There are infinitely many possible solutions. The question needs to be more specific.