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- Solving Simultaneous Equations

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Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Intro Lesson9:21
- Lesson: 13:40
- Lesson: 23:33

Depending on whether and how the linear equations in a system touch each other, there will be different number of solutions to the system. There can be one solution, no solution and even infinite solution.

Basic concepts: Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$, Slope intercept form: y = mx + b, Parallel line equation,

Related concepts: System of linear-quadratic equations, System of quadratic-quadratic equations, Graphing systems of linear inequalities, Graphing systems of quadratic inequalities,

- Introduction$\bullet$ The solutions to a system of equations are the points of intersection of the graphs.

$\bullet$ For a system consisting of two linear equations:

There are 3 cases to consider:

- 1.State whether each of the following systems have ONE, NONE, or INFINITE solutions

i) 3x + y = 7

4x + y = 7

ii) 6x + 2y = 10

3x + y = 5

iii) x - y = 3

3x - 3y = 6 - 2.Find a value for c that will give the following system:

3y + 2cx = 6

y - 6x = 0

i) one solution

ii) no solutions

14.

Solving Simultaneous Equations

14.1

Determining number of solutions to linear equations

14.2

Solving simultaneous equations by graphing

14.3

Solving simultaneous equations by elimination

14.4

Solving simultaneous equations by substitution

14.5

Money related questions in linear equations

14.6

Unknown number related questions in linear equations

14.7

Distance and time related questions in linear equations

14.8

Rectangular shape related questions in linear equations

We have over 1180 practice questions in NZ Year 10 Maths for you to master.

Get Started Now14.1

Determining number of solutions to linear equations

14.3

Solving simultaneous equations by elimination

14.4

Solving simultaneous equations by substitution

14.5

Money related questions in linear equations

14.6

Unknown number related questions in linear equations

14.7

Distance and time related questions in linear equations

14.8

Rectangular shape related questions in linear equations