Still Confused?

Try reviewing these fundamentals first.

- Home
- Precalculus
- Systems of Equations

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math 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

8.

Systems of Equations

8.1

Determining number of solutions to linear equations

8.2

Solving linear systems by graphing

8.3

Using substitution method to solve systems of equations

8.4

Using elimination method to solve systems of equations

8.5

Solving 3 variable systems of equations by substitution

8.6

Solving 3 variable systems of equations by elimination

8.7

Solving 3 variable systems of equations with no or infinite solutions

8.8

Word problems relating 3 variable systems of equations

We have over 830 practice questions in Precalculus for you to master.

Get Started Now