If there is one prayer that you should pray/sing every day and every hour, it is the LORD's prayer (Our FATHER in Heaven prayer)
It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it. - Samuel Dominic Chukwuemeka

For in GOD we live, and move, and have our being. - Acts 17:28

The Joy of a Teacher is the Success of his Students. - Samuel Chukwuemeka

Calculators for Linear Systems

Samuel Dominic Chukwuemeka teaching Linear Systems

I greet you this day,
You may use these calculators to check your answers. You are encouraged to solve the questions on your own first, before checking your answers with the calculators.
These topics are covered in my Notes and Videos on Linear Systems.
I wrote the codes for these calculators using JavaScript, a client-side scripting language, and AJAX, a Javascript library. Please use the latest Internet browsers. The calculators should work.
The Wolfram Alpha widget (many thanks to the developers) are used for some calculators.
For some calculations, you may need to refresh your browser after each calculation.
Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome. You may contact me.
If you do, please be positive.
If you are my student, please do not contact me here. Contact me via the school's system.
Thank you for visiting.

Please NOTE:
Only integers and decimals are allowed in each textbox. Fractions and variables are not allowed as input for any of the textboxes.
If your answer is a decimal, and you need to convert it to a fraction, then use the Decimal to Fraction link.
Thank you for visiting.

Samuel Dominic Chukwuemeka
(SamDom For Peace)
B.Eng., A.A.T, M.Ed., M.S

2 × 2 Linear System

NOTE:
(1.) If the linear system is not complete, complete it by adding zeros as coefficients to the variables as necessary
(2.) If the linear system is not in standard form, rearrange it to be in standard form.
In other words, line the variables in order.
(3.) Only integers and/or decimals are allowed in each textbox.

Given: A linear system in standard form
To Classify: the linear system
x + y =

x + y =

Given: A consistent-independent linear system in standard form
To Calculate: the variables
x + y =

x + y =

x =

y =

Given: A consistent-independent linear system where the variables are the denominators
To Find: the variables



	+		=
x		y



	+		=
x		y

x =

y =

Given: A consistent-dependent linear system in standard form
To Express: One variable in terms of the other variable
x + y =

x + y =

y = x +

x = y +

3 × 3 Linear System

Given: A linear system in standard form
To Classify: the linear system
x + y + z =

x + y + z =

x + y + z =

Given: A consistent-independent linear system in standard form
To Calculate: the variables
x + y + z =

x + y + z =

x + y + z =

x =

y =

z =

Given: A consistent-independent linear system where the variables are the denominators
To Find: the variables



	+		+		=
x		y		z



	+		+		=
x		y		z



	+		+		=
x		y		z

x =

y =

z =

Up to 3 × 3 Linear System - Wolfram Calculator

This calculator will solve these linear systems if there is a solution.
(1.) 1 × 2 linear systems.
(2.) 2 × 1 linear systems.
(3.) 1 × 3 linear systems.
(4.) 3 × 1 linear systems.
(5.) 2 × 2 linear systems.
(6.) 2 × 3 linear systems.
(7.) 3 × 2 linear systems.
(8.) 3 × 3 linear systems.

To use the calculator, please:
(1.) Type your equations in the textbox (the bigger textbox).
(2.) Type it according to the examples I listed.
(3.) Delete the default equations in the textboxes of the calculator.
(4.) Copy and paste the equations you typed, into the small textbox of the calculator.
(5.) Click the Submit button.
(6.) Check to make sure they are the correct equations you typed.
(7.) Review the answers. At least one of the answers is probably what you need.

Using the "Up to 3 × 3 Linear Systems" Calculator
Type: $-14 = -20y - 7x$ as -14 = -20 * y - 7 * x
Type: $x - 2y = 5p + 4$ as x - 2 * y = 5 * p + 4
Type: $\dfrac{5}{c} + \dfrac{3}{d} - \dfrac{1}{e} = 1$ as 5/c + 3/d - 1/e = 1
Type: $\dfrac{1}{4}x = -1 + \dfrac{2}{7}y$ as (1/4) * x = -1 + (2/7) * y

Solve

Up to 4 × 4 Linear System - Wolfram Calculator

This calculator will solve these linear systems if there is a solution.
(1.) 1 × 2 linear systems.
(2.) 2 × 1 linear systems.
(3.) 1 × 3 linear systems.
(4.) 3 × 1 linear systems.
(5.) 2 × 2 linear systems.
(6.) 2 × 3 linear systems.
(7.) 3 × 2 linear systems.
(8.) 3 × 3 linear systems.
(9.) 4 × 1 linear systems.
(10.) 4 × 2 linear systems.
(11.) 4 × 3 linear systems.
(12.) 4 × 4 linear systems.

To use the calculator, please:
(1.) Type your equations in the textbox (the bigger textbox).
(2.) Type it according to the examples I listed.
(3.) Delete the default equations in the textboxes of the calculator.
(4.) Copy and paste the equations you typed, into the small textbox of the calculator.
(5.) Click the Submit button.
(6.) Check to make sure they are the correct equations you typed.
(7.) Review the answers. At least one of the answers is probably what you need.

Using the "Up to $4 * 4$ Linear Systems" Calculator
Type: $-14 = -20y - 7x$ as -14 = -20 * y - 7 * x
Type: $x - 2y = 5p + 4$ as x - 2 * y = 5 * p + 4
Type: $\dfrac{5}{c} + \dfrac{3}{d} - \dfrac{1}{e} = 1$ as 5/c + 3/d - 1/e = 1
Type: $\dfrac{1}{4}x = -1 + \dfrac{2}{7}y$ as (1/4) * x = -1 + (2/7) * y

Solve