Question

Four Variable System of Equations Calculator with Steps

A: Cramer's Rule |
B: Gaussian Elimination |
C: Matrix Inversion |
D: Row-Reduced Echelon Form

Answer 1

To solve a four-variable system of equations, you can use methods like Cramer's Rule, Gaussian Elimination, Matrix Inversion, or Row-Reduced Echelon Form. Let's consider Cramer's Rule for this example and follow the steps to solve the system.

Step-by-step explanation:

When solving a system of four equations with four unknowns, there are several methods that can be used, including Cramer's Rule, Gaussian Elimination, Matrix Inversion, and Row-Reduced Echelon Form. Let's consider Cramer's Rule for this example.

1. Write the system of equations in matrix form.
2. Calculate the determinant of the coefficient matrix.
3. Calculate the determinants of the matrices obtained by replacing each column of the coefficient matrix with the constant terms.
4. Find the values of the unknowns by dividing the determinants found in step 3 by the determinant found in step 2.

These steps can be followed to solve a four-variable system of equations using Cramer's Rule.