# 3 Equation System Solver Calculator

## Now, What Exactly Is A “3 Equation System Solver Calculator”?

A 3 equation system solver calculator is a tool that helps you solve a system of three linear equations.

## 3 Equation System Solver Calculator with steps

This is a very simple tool for 3 Equation System Solver Calculator. Follow the given process to use this tool.

☛ Step 1: Enter the complete equation/value in the input box i.e. across “Provide Required Input Value:”

☛ Step 2: Click “Enter Solve Button for Final Output”.

☛ Step 3: After that a window will appear with final output.

## Formula for 3 equation system solver

There is no definitive formula for 3 equation system solver, as the method used to solve a 3 equation system will vary depending on the situation. However, some common methods for solving a 3 equation system include using substitution, elimination, or Gaussian elimination.

## 3 Equation System Solver Definition

A 3 equation system solver is a mathematical tool used to solve systems of linear equations with three variables.

## Example of 3 equation system solver based on Formula

A system of three equations can be solved using the following formula:

x = (A^-1) b

where A is the 3×3 matrix of coefficients, b is the 3×1 vector of constants, and x is the 3×1 vector of unknowns.

For example, if the system of equations is given by:

2x + y – z = 1
3x – 2y + 4z = -2
-x + y + 2z = 0

then the matrix of coefficients is given by:

A = [ 2 1 -1
3 -2 4
-1 1 2 ]

and the vector of constants is given by:

b = [ 1
-2
0 ]

Solving for the vector of unknowns, we have:

x = (A^-1) b

= [ 1/5 2/5 -1/5
3/10 -1/10 2/5
-1/10 1/10 1/5 ] [ 1
-2
0 ]

= [ 1/5
1/5
-1/5 ]