HSC Together > Year12 > Solving Linear Simultaneous Equations: Algebraically (Elimination Method)

# Solving Linear Simultaneous Equations: Algebraically (Elimination Method)

### What is a linear simultaneous equation?

Two lines will always intersect unless they are parallel. The way to find the point of intersection on a graph involves you solving the two equations. You can do this using either two methods, graphically or algebraically. The following videos will explain the algebraic method. The algebraic method involves using either the substitution method or elimination method to solve the two equations and find the point of intersection. This post focusses specifically on using the elimination method in order to solve a simultaneous linear equation in HSC Standard Math.

### How to solve simultaneous equations algebraically

The following video introduces the two methods, substitution and elimination.

### How to solve simultaneous equations using the elimination method

The following video solves an example using the elimination method.

The following video explains the elimination method in algebra more thoroughly.