# 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

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