Simultaneous Equations

Simultaneous equations are a set of two or more algebraic equations that share the same variables and are solved together. The solution to the system consists of the values for the variables that make all equations true at the same time.

Example

For the linear system $x + y = 10$ and $x - y = 4$, adding the two equations yields $2x = 14$, so $x = 7$. Substituting $x$ back gives $y = 3$. The point $(7, 3)$ is the intersection of their lines.

Simultaneous Equations

Example

See Also