# Is no solution True or false?

## Is no solution True or false?

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.

### Which equations have no solution?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

How do u know if an equation has no solution?

Correct answer: The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

Which equation has no solution solving absolute value equations?

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality.

## How do you know if an equation has no solution?

### What is an example of no solution?

As an example, consider 3x + 5 = 3x – 5. This equation has no solution. There is no value that will ever satisfy this type of equation.

When would an absolute value have no solution?

Since the absolute value of any number other than zero is positive, it is not permissible to set an absolute value expression equal to a negative number. So, if your absolute value expression is set equal to a negative number, then you will have no solution.

When there is no solution of a system of equations then the system is called?

A system that has no solution is called inconsistent; a system with at least one solution is called consistent.

## What does it mean to have no solution?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

### Why do some equations have no solutions?

The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.