Linear Combination Calculator

A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Linear combination is one of the methods to solve for the unknown variables in the given equations. In this

method one unknown variable is eliminated and the value of the remaining variable is calculated. The online

tool used to find the solution of two given equations using linear combination method is called the Linear

combination calculator.

Example 1: Find the solution of the two linear equations x + y = 10; x - y = 4.

Given are the equations with two unknown variables x, y.

Linear combination method can be used to solve for the two variables.

The co-efficient or ‘y’ in both the equations is 1, so subtract both the equation.

(x + y = 10) - (x - y = 4) -> 2y = 6 -> y = 3.

Substitute y = 3 -> x + 3 = 10 -> x = 7.

Hence x = 7 and y = 3.

Example 2: Find the solution of the two linear equations 2x + y = 6; x - y = 6

Given are the equations with two unknown variables x, y.

Linear combination method can be used to solve for the two variables.

The co-efficient or ‘y’ in both the equations are 1 and -1, so add both the equation.

(2x + y = 6) + (x - y = 6) -> 3x = 12 -> x = 4.

Substitute x = 4 -> 4 - y = 6 -> y = -2.

Hence x = 4 and y = -2.

I just want you to know how great Brinda has been in tutoring me on probability. She is patient and very knowledgeable in all concepts. I look forward to many more sessions with her. I appreciate her help and the great work that Tutor Pace is doing.

- -
- 9th Grade, from Barbara

Thank you for your excellent tutoring services. It has surely made a lot of difference in our child's academic performance.

- -
- 9th Grader, from Venkat (father of Sai)

I have enjoyed my session with Aparna and it was helpful. I will hope to see her as my Math tutor in future sessions as well.

- -
- 10th Grade, from Senia Revayo

Your tutor has been such an inspiration to me as I have difficulty getting some of the physics concepts down and truly understanding them. She takes the time to fully explain each and every aspect of any problem I might ask for help and always with encouragement and humor.

- -
- 9th Grader, from Kansas

A PHP Error was encountered

Linear Combination Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL

HAVE A QUESTION? Chat With Our Tutoring Experts Now