Simultaneous Equation Calculator
Introduction to Simultaneous Equations
A system of simultaneous equations is a set of two or more equations containing two or more variables. The goal is to find the values of the variables that satisfy all equations in the system concurrently.
This solver supports two common methods: Substitution and Elimination, for systems with either two variables (x, y) or three variables (x, y, z).
Equations should be entered in the standard linear form:
- For 2 variables:
ax + by = c - For 3 variables:
ax + by + cz = d
Where a, b, c, d are coefficients and constants (numbers), and x, y, z are the variables. If a variable term is missing, its coefficient is considered 0 (e.g., 2x = 5 is 2x + 0y = 5).
Solve for 2 Variables (x, y)
Substitution Method (2 Variables)
Enter two linear equations in the form ax + by = c to solve using the substitution method.
Elimination Method (2 Variables)
Enter two linear equations in the form ax + by = c to solve using the elimination method.
Solve for 3 Variables (x, y, z)
Substitution Method (3 Variables)
Enter three linear equations in the form ax + by + cz = d to solve using the substitution method.
Elimination Method (3 Variables)
Enter three linear equations in the form ax + by + cz = d to solve using the elimination method.