What is an equation with no solution?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. If you substitute these values into the original equation, you’ll see that they do not satisfy the equation.

What is an example of a system of equations with no solution?

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. The row of 0’s only means that one of the original equations was redundant. The solution set would be exactly the same if it were removed.

How do you write no solution?

Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer. So if we want to use Ø to represent no solution, we may.

What if an equation is 0 0?

1 Expert Answer If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.

Is 0 0 infinite or no solution?

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.

How do you know if two equations have 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.

What is the solution of the system of equations?

A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system.

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 does R mean in math?

The set of real numbers is denoted using the symbol R or . Real numbers can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced.

What is a one solution equation?

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 a identity equation?

An identity equation is an equation that is always true for any value substituted into the variable.

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 .

What is all solution in math?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true. The set of all solutions of an equation is its solution set. An equation may be solved either numerically or symbolically. Solving an equation numerically means that only numbers are admitted as solutions.