System of Linear Equations Solver
Enter the coefficients for two linear equations to solve for x and y. See the graphical representation of the equations and their intersection point.
Enter Equations
Equation 1:
Equation 2:
Solution
The solution to the system of equations is: x ≈ , y ≈
Visualization
Understanding Linear Equations
A system of linear equations involves two or more linear equations that share the same variables. In a two-variable system, we typically look for values of 'x' and 'y' that satisfy both equations simultaneously. Graphically, each linear equation represents a straight line, and the solution to the system is the point where these lines intersect. If the lines are parallel, there's no unique solution. If they are the same line, there are infinite solutions. This tool helps you solve for the unique intersection point when it exists and visualizes these lines for better understanding.
- Linear Equation: An equation that can be written in the form ax + by = c.
- System of Equations: A set of two or more equations considered together.
- Solution: The values of variables that make all equations in the system true.
Learn more about systems of linear equations on resources like Khan Academy and Wikipedia.