10.2 Simultaneous Linear - StudyNinja

HSC Standard Maths Resources

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10.2 Simultaneous Linear

So far, we looked at one linear equation; there are times when you are provided with two linear equations and you have to look for a solution. By solution we mean values of x and y that are common in both equations. There are two ways of solving these equations: Graphically and Algebraically.

Example 1

Adam has a business of selling cars. The following linear equations define his revenue and costs.

Revenue = 27,000 × no. of cars sold

Cost = 150,000 + 12,000 × no. of cars sold

What is the break-even point?

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You might find the following videos helpful related to this section:

Play
5C Solving Simultaneous Equations Graphically

by Mr Bodgers (click to view channel)

Solving simultaneous equations graphically by first writing up a table of values.
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5D Solving Simultaneous Equations Algebraically (2 of 3)

by Mr Bodgers (click to view channel)

4 examples that show you how to solve simultaneous equations using the substitution method.
Play
5D Solving Simultaneous Equations Algebraically (2 of 3)

by Mr Bodgers (click to view channel)

4 examples that show you how to solve simultaneous equations using the substitution method.
Play
5D Solving Simultaneous Equations Algebraically (3 of 3)

by Mr Bodgers (click to view channel)

4 examples that show you how to solve simultaneous equations using the elimination method.
Play
5E Solving Problems Using Simultaneous Equations (1 of 2)

by Mr Bodgers (click to view channel)

Solves a mathematical problem by solving two equations simultaneously.
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5E Solving Problems Using Simultaneous Equations (2 of 2)

by Mr Bodgers (click to view channel)

Solves a practical work place problem by solving two equations simultaneously.
Play
5F Break-Even Analysis

by Mr Bodgers (click to view channel)

Calculates the point at which profit and cost are the same in a break-even analysis problem.
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The following are the type of questions you can expect in exam:

10.2.1 Exam Question Type 1

10.2.2 Exam Question Type 2

Study notes of this section and other resources can be accessed here:

10.2.3 Study Notes & Resources

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