## 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 is a 3×3 system of linear equations?

Systems of equations that are 3×3 consist of three equations and three variables. The system is solved when values for each variable have been found. The solution can be checked by substituting the values for the variables in the equations. If the equations are all true, then the solutions are correct.

## How do you classify a system of equations?

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

## How many solutions can a system of three equations with three variables have?

infinite number
Case 3: There are an infinite number of solutions. This occurs when the three planes intersect in a line. And this can also occur when the three equations graph as the same plane.

## What is inconsistent 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.

## Is no solution consistent?

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

## What are the steps to solving a system of equations?

1. Step 1 : First, solve one linear equation for y in terms of x .
2. Step 2 : Then substitute that expression for y in the other linear equation. …
3. Step 3 : Solve this, and you have the x -coordinate of the intersection.
4. Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

## How do you find the square of a 3×3 matrix?

The square of a 3×3 matrix A will simply be the multiplication of A with A. Since A is a square matrix, the result will be a 3×3 square matrix as well. Suppose our matrix is: A=⎛⎜⎝abcdefghi⎞⎟⎠ A = ( a b c d e f g h i ) .