# What is the solution of the system of equations?

## What is the solution of the system of equations?

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

## What is the solution to the system of equations Quizizz?

The solution to a system of equations is any ordered pair that makes both equations true.

What does interpret a solution mean?

A solution to these equations is a number that, when plugged in for the variable, makes the equation true. We can interpret solutions to multi-step linear equations and inequalities abstractly as points and intervals on a number line.

### What are the 3 types of system of equations?

There are three types of systems of linear equations in two variables, and three types of solutions.

• An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution.
• An inconsistent system has no solution.
• A dependent system has infinitely many solutions.

### What are the three types of solutions to any system of two equations?

The three types of solution sets: A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory.

How can you check that a solution is correct?

To check if a given value is a solution to an equation:

1. Evaluate the left-hand side expression at the given value to get a number.
2. Evaluate the right-hand side expression at the given value to get a number.
3. See if the numbers match.

#### What is the solution to this system?

If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.