Linear Equations in Two Variables 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 are Linear Equations in Two Variables Calculator?
'Linear Equations in Two Variables Calculator' is an online tool that helps to calculate the variables for given equations. Online Linear Equations in Two Variables Calculator helps you to calculate the variables for a given equation in a few seconds.
Linear Equations in Two Variables Calculator
NOTE: Enter the input value upto two digits only.
How to Use Linear Equations in Two Variables 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 a given equation.
- Step 3: Click on the "Reset" button to clear the fields and find the variables for different equations.
How to Find Linear Equations in Two Variables?
A linear equation of the form Ax + By = C. Here, x and y are variables, and A, B, and C are constants.
To solve the variables of the given equations, let's see an example to understand briefly.
Solved Examples on Linear Equations in Two Variables Calculator
Example 1:
Solve 2x + y = 7 and x + y = 5 and verify it using linear equations in two variables calculator.
Solution:
2x + y = 7 ------> (1)
x + y = 5 -------> (2)
From (2), x = 5 - y ------> (3)
Substitute (3) in (1),
2(5 - y) + y = 7
10 - 2y + y = 7
10 - y = 7
y = 3 ------> (4)
Substitute (4) in (2),
x + 3 = 5
x = 2
Therefore, x = 2, y = 3
Example 2:
Solve 3x - 2y = 4 and 4x - y = 7 and verify it using linear equations in two variables calculator.
Solution:
3x - 2y = 4 ------> (1)
4x - y = 7 -------> (2)
From (2), y = 4x - 7 ------> (3)
Substitute (3) in (1),
3x - 2(4x - 7) = 4
3x - 8x + 14 = 4
-5x = -10
x = 2 ------> (4)
Substitute (4) in (2),
4x - y = 7
4(2) - y = 7
8 - y = 7
y = 1
Therefore, x = 2, y = 1
Similarly, you can try the linear equations in two variables calculator to solve the linear equation in two variables for:
- 7x + 8y = 17 and x - 16y = 4
- 11x - 17y = -18 and 12x - 15y = 8