# How do you know if a system of 3 equations has no solution?

## How do you know if a system of 3 equations has no solution?

A system of equations in three variables with no solutions is represented by three planes with no point in common.

## How do you tell if a system has no solution?

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 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.

**What is an example of a 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.

### What is an equation that has no solution called?

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

### What is no solution in algebra?

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. Note that we have variables on both sides of the equation.

**What is no solution algebra?**

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.

**What’s another name for no solution?**

What is another word for without a solution?

insoluble | baffling |
---|---|

impenetrable | unsolvable |

inexplicable | mysterious |

mystifying | obscure |

unfathomable | insolvable |

#### What does no solutions look like?

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.