# What is an example of a system of equations that has infinitely many solutions?

## What is an example of a system of equations that has infinitely many solutions?

If by a system of equations you want two “different” equations with infinitely many points (solutions) in common you could take any linear equation like the one Hamilton gave you y = x + 1 and multiply it by 2 to get 2y = 2x + 2.

**How do you tell if a system of equations has no solution or infinitely many?**

If 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.

**How can a system of three equations in three variables has infinitely many solutions complete the explanation?**

An infinite number of solutions can result from several situations. The three planes could be the same, so that a solution to one equation will be the solution to the other two equations. All three equations could be different but they intersect on a line, which has infinite solutions.

### How do you know if a problem has infinite solutions?

When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has infinite solutions. You can solve this as you would any other equation.

**What does it mean when a system has infinitely many solutions?**

Systems with Infinitely Many Solutions There is always a possibility that a system of equations has infinite solutions. If the equations in your system are the same, then there are infinite solutions.

**How do you know if there are infinitely many solutions?**

Equations with an infinite number of solutions If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.

## How do you find infinitely many solutions?

If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.