# Which system has no solution

## Which systems have no solution?

A system has no solutions

**if two equations are parallel**. … When two equations have the same slope but different y-axis, they are parallel. Since there are no intersection points, the system has no solutions.## Which of the given system of equations has no solution?

A system of linear equations that has no solution is called

**an inconsistent pair of linear equations**.## What is an example of an no solution?

As an example,

**3(x – 5) = 3x – 15**. If we simplified each side we would get: 3x – 15 = 3x – 15. No matter what value we replace x with, the equation is true. … This equation has no solution.## How do you find 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.

## When there is no solution of a system of equation then the system is called as system of equation?

A system that has no solution is called

**inconsistent**; a system with at least one solution is called consistent.