Solving Equations with Two Variables
An algebra solver with 2 variables helps you find values of x and y that satisfy both equations simultaneously.
Three Methods
1. Graphing
Plot both equations and find the intersection point.
2. Substitution
Isolate one variable and substitute into the other equation.
3. Elimination
Add or subtract equations to eliminate one variable.
Example
\( x + y = 10 \) and \( x - y = 4 \)
Adding: \( 2x = 14 \), so \( x = 7 \), \( y = 3 \).
Types of Solutions
- One solution: Lines intersect at one point
- No solution: Parallel lines (inconsistent)
- Infinite solutions: Same line (dependent)
Enter two equations separated by semicolons in our solver!
