Methods to Solve Systems of Linear Equations
Common algebraic techniques for solving simultaneous systems:
METHOD 1
Cramer's Rule
Calculate matrix determinants: x = D_x / D and y = D_y / D.
METHOD 2
Substitution
Isolate one variable in terms of the other and substitute into the second equation.
METHOD 3
Elimination
Multiply equations by scalar factors and add/subtract to cancel out one variable.