Simultaneous Equations

Simultaneous equations are solved together because they share the same unknowns.

Elimination (two linear equations)

1. Make the coefficients of one variable equal (multiply equations as needed).
2. Add or subtract to eliminate that variable.
3. Solve for the remaining variable, then substitute back.

E.g. $3x+2y=12$ and $x-2y=4$: adding gives $4x=16$, so $x=4$, then $y=0$.