Solving First Degree Equations with Two Unknowns

Online calculator and solving procedure for two equations with two unknowns. Solve systems of first degree equations in the form: a1*x + b1*y = c1 and a2*x + b2*y = c2

Solving First Degree Equations with Two Unknowns

First degree equations with two unknowns can be expressed as:

Equation 1: a₁x + b₁y = c₁
Equation 2: a₂x + b₂y = c₂

Solution Method

This calculator solves the system using the elimination/substitution method:

  1. Rearrange equation 1 to express y in terms of x
  2. Substitute into equation 2 to solve for x
  3. Back-substitute to find y

Example

For the equations:

  • 3x + 5y = 7
  • 4x - 3y = 19

The solution is: x = 4, y = -1

Calculator

Inputs

Results

x (Solution)--
y (Solution)--
Determinant--
Solving First Degree Equations with Two Unknowns | MEPKit Engineering Tools | MEPKit