Quick Answer: What Is The No Solution Symbol?

What does it mean if a system has no solution?

A system of linear equations can have no solution, a unique solution or infinitely many solutions.

A system has no solution if the equations are inconsistent, they are contradictory.

for example 2x+3y=10, 2x+3y=12 has no solution.

is the rref form of the matrix for this system..

Is 0 0 infinite or no solution?

Ben Mai · Becca M. For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . … If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.

What is an example of one solution?

This is the normal case, as in our example where the equation 2x + 3 = 7 had exactly one solution, namely x = 2. The other two cases, no solution and an infinite number of solutions, are the oddball cases that you don’t expect to run into very often.

What is a problem with no solution called?

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an “inconsistent” system of equations, and it has no solution.

What is a zero solution?

In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation .

How do you know if a system is inconsistent?

Consistent and Dependent SystemsIf a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

What does it mean for a system to have infinite solutions?

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they’re the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.

How do you tell if an equation has no solution?

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there’s no solution. If the equation ends with a true statement (ex: 2=2) then you know that there’s infinitely many solutions or all real numbers.

How can you tell if a point is a solution to a system?

The equation represents a line, and he was testing to see if the ordered pair lies on the line. He does the same thing with the other equation (which is also a line). If the point lies on both lines, then it is a solution. If the point is on one line and not the other (like in the video) then it is not a solution.

What does 0 0 mean in a equation?

2 Answers. Wataru. . If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.

How do you know when an equation has one solution no solution or infinite solutions?

You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).

What is the value of 0 by 0?

0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value.

What is an example of an equation with no solution?

For example, check and see if x = 3 will solve the equation. Clearly 3 never equals 5, so x = 3 is not a solution. The equation has no solutions. It was not helpful to have multiplied both sides of the equation by zero.