Get Started Now

11.1

Simultaneous linear equations

11.2

Simultaneous linear-quadratic equations

11.3

Simultaneous quadratic-quadratic equations

11.4

Solving 3 variable simultaneous equations by substitution

11.5

Solving 3 variable simultaneous equations by elimination

11.6

Solving 3 variable simultaneous equations with no or infinite solutions

11.7

Word problems relating 3 variable simultaneous equations

Back to Course Index

Solve the following system of equations:

$2x - 3y + z = 3$

$6x - 12y + 4z = 8$

$-3x + 6y - 2z = 6$

$x + 6y - 7z = -2$

$2x + 12y - 14z = -4$

$4x + 24y - 28z = -8$

$x - 2y + z = 3$

$3x - 6y + 3z = 9$

$2x + 5y - z = -6$

We have 867 practice questions in Sixth Year Maths for you to work through.

No Javascript

It looks like you have javascript disabled.

You can still navigate around the site and check out our free content, but some functionality, such as sign up, will not work.

If you do have javascript enabled there may have been a loading error; try refreshing your browser.