Calculator for three linear equations

Equation form:aX + bY + cZ = d

Equation 1) a= b= c= d=
Equation 2) a= b= c= d=
Equation 3) a= b= c= d=
X=
Y=
Z=

A Calculator for Three Linear Equations is a tool that solves a system of three linear equations with three variables. It finds the values of the variables that satisfy all three equations simultaneously.

Why Use It?

  • Manually solving three equations can be time-consuming and error-prone.
  • A calculator quickly computes the solution using mathematical methods like substitution, elimination, or matrix (Gaussian elimination, Cramer's rule, inverse matrix method).
  • Useful in engineering, physics, finance, and various applied sciences.

How Does It Work?

  1. You input three linear equations in the form:
    ax+by+cz=d
    ex+fy+gz=h
    ix+jy+kz=l
  2. The calculator uses algebraic methods to find the unique solution for x, y, and z (if one exists).
  3. It displays the values of x, y, and z, or indicates if there's no solution or infinite solutions (if the equations are dependent).

When to Use It?

  • When solving physics problems involving forces or motion.
  • In economics for solving equilibrium equations.
  • In computer graphics and 3D modeling.
  • For solving circuit equations in electrical engineering.