HSC Together Year 12 Maths Standard: Solving Linear Simultaneous Equations: Algebraically (Substitution Method)

#### Maths Standard

• Simultaneous Linear Equations
• Non-linear Relationships
• Non-Right Angled Trigonometry
• Rates and Ratios
• Investments and Loans
• Annuities
• Bivariate Data Analysis
• The Normal Distribution
• Network Concepts
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# Solving Linear Simultaneous Equations: Algebraically (Substitution 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 and can involve 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 substitution method in order to solve simultaneous linear equations 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 Substitution Method

The following video solves an example using the substitution method.

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

Want to learn more? Check out more of our Preliminary Standard Maths resources here!

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