Solving Linear Equations Calculator
'Solving Linear Equations Calculator' is an online tool that helps to calculate the variables for a given equation. Solving linear equations means finding the value of the variable(s) given in the linear equations. A linear equation is a combination of an algebraic expression and an equal to (=) symbol. It has a degree of 1 or it can be called a first-degree equation.
What is Solving Linear Equations Calculator?
Online Solving Linear Equations Calculator helps you to calculate the variables for a given equation in a few seconds.
Solving Linear Equations Calculator
How to Use Solving Linear Equations Calculator?
Please follow the below steps to find the variables for a given equation:
- Step 1: Enter the coefficients of linear 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 Solving Linear Equations 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.
An equation of the form Ax + By = C. Here, x and y are variables, and A, B, and C are constants.
Solved Examples on Solving Linear Equations Calculator
Example 1:
Solve 2x + y = 7 and x + y = 5
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
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 calculator to find the algebra value for a given equation
a) 7x + 8y = 17 and x - 16y = 4
b) 11x - 17y = -18 and 12x - 15y = 8