Linear Combination Calculator
A linear equation is defined as an equation that is written for two different variables. This equation will be a linear combination of these two variables and a constant.
What is a Linear Combination Calculator?
'Linear Combination Calculator' is an online tool that helps to calculate the variables for the given linear equations. Online Linear Combination Calculator helps you to calculate the variables for the given linear equations in a few seconds.
Linear Combination Calculator
NOTE: Enter the coefficients upto two digits only.
How to Use Linear Combination Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the coefficients of equations in the given input box.
- Step 2: Click on the "Solve" button to find the variables for the given linear equations.
- Step 3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Linear Combination?
A linear equation of the form Ax + By = C. Here, x and y are variables, and A, B, and C are constants. A Linear combination calculator is used to solve a system of equations using the linear combination method also known as the elimination method.
To solve the variables of the given equations, let's see an example to understand briefly.
Solved Examples on Linear Combination Calculator
Example 1:
Solve the given linear combination equations 2x + y = 7 and x + y = 5 and verify it using linear combination calculator.
Solution:
2x + y = 7 ------> (1)
x + y = 5 -------> (2)
To eliminate 'y', subtract (1) - (2),
2x + y - x - y = 7 - 5
x = 2
Substitute x = 2 in equation(1),
2(2) + y = 7
4 + y = 7
y = 3
Therefore, x = 2, y = 3
Example 2:
Solve the given linear combination equations 3x - y = 4 and 4x - y = 7 and verify it using linear combination calculator.
Solution:
3x - y = 4 ------> (1)
4x - y = 7 -------> (2)
To eliminate'y', subtract (1) - (2),
3x - y - 4x + y = 4 - 7
-x = -3
x = 3
Substitute x = 3 in equation(1),
3(3) - y = 4
9 - y = 4
y = 5
Therefore, x = 3, y = 5
Similarly, you can try the linear combination calculator to solve the linear combination equations for:
- 7x + 8y = 17 and x - 16y = 4
- 11x - 17y = -18 and 12x - 15y = 8