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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

17.

Simultaneous Equations

17.1

Determining number of solutions to linear equations

17.2

Solving simultaneous linear equations by graphing

17.3

Solving simultaneous linear equations by elimination

17.4

Solving simultaneous linear equations by substitution

17.5

Money related questions in linear equations

17.6

Unknown number related questions in linear equations

17.7

Distance and time related questions in linear equations

17.8

Rectangular shape related questions in linear equations

17.9

Simultaneous linear-quadratic equations

17.10

Simultaneous quadratic-quadratic equations

17.11

Solving 3 variable simultaneous equations by substitution

17.12

Solving 3 variable simultaneous equations by elimination

17.13

Solving 3 variable simultaneous equations with no solution, infinite solutions

17.14

Word problems relating 3 variable simultaneous equations

We have over 1720 practice questions in GCSE Maths for you to master.

Get Started Now17.1

Determining number of solutions to linear equations

17.3

Solving simultaneous linear equations by elimination

17.4

Solving simultaneous linear equations by substitution

17.5

Money related questions in linear equations

17.6

Unknown number related questions in linear equations

17.7

Distance and time related questions in linear equations

17.8

Rectangular shape related questions in linear equations

17.9

Simultaneous linear-quadratic equations

17.10

Simultaneous quadratic-quadratic equations