Still Confused?

Try reviewing these fundamentals first

- Home
- Transition Year Maths
- Solving Simultaneous Equations

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

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

7.

Solving Simultaneous Equations

7.1

Determining number of solutions to linear equations

7.2

Solving simultaneous linear equations by graphing

7.3

Solving simultaneous linear equations by elimination

7.4

Solving simultaneous linear equations by substitution

7.5

Money related questions in linear equations

7.6

Unknown number related questions in linear equations

7.7

Distance and time related questions in linear equations

7.8

Rectangular shape related questions in linear equations

We have plenty of practice questions in Transition Year Maths for you to master.

Get Started Now7.1

Determining number of solutions to linear equations

7.3

Solving simultaneous linear equations by elimination

7.4

Solving simultaneous linear equations by substitution

7.5

Money related questions in linear equations

7.6

Unknown number related questions in linear equations

7.7

Distance and time related questions in linear equations

7.8

Rectangular shape related questions in linear equations