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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.

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

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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.

Infinitely many

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

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

It has infinitely many 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.

Is a trigonometric equation which has infinitely many real solutions.

Inequalities tend to have infinitely many solutions.

yo mammaa

one, zero, infinitely many.

As many solutions as there are points in the domain.

The equation has infinitely many solutions.

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.

none

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

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

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.

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

-- 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.

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.

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.

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

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

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.