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

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It has 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.

The equation has infinitely many 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.

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

There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.

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.

the solution is the answer to the equation. A solution is any value that makes the equation true. x + 2 = 10 has exactly one solution ....x=8 x + 2 > 10 has infinitely many solutions....x=9 or 10 or 11 or 12 or 13, etc

infinitely many solutions :)

Assuming you mean x=1, then it is a solution.

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.

Solutions of an equation are the set of values which satisfy it.

Simply write that "no solutions are available for <equation>".

Yes and sometimes it can have more than one solution.

how many solutions does the equation have? 4x+1=5+2(2-4) a. one solution b. infinite solutions c. no solution

consistent means that it either has a unique solution or infinitely many solutions. But not No solutions.

You'll need another equation to solve this one. The equation you give has a graph that is a line. Every point on the line is a solution to the equation so there are infinitely many solutions.

No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.

If the discriminant of a quadratic equation is less than zero then it has no solutions.

identify the property and equation that satisfies the following statement: the solution of an equation is x=-2.

Infinitely many. The solution space is part of a plane.

An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.

You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.

There is the solution to a puzzle. There is a chemical solution There is an alloy There is a solution to an equation There is a solution to a problem