# What is the result of adding the system of equations 2 x + y = 4 and 3 x - y = 6?

An equation of degree one is called linear equations. The standard form of linear equations in two variables is ax + by = c, where a, b and c are constants.

## Answer: The solution for the system of linear equations 2 x + y = 4 and 3 x - y = 6 is { x , y } = { 2, 0 }.

Let's solve the system of linear equations in two variables.

**Explanation:**

Given:

2 x + y = 4 ------------- (1)

3 x - y = 6 --------------- (2)

To solve the system of linear equations we will add both (1) and (2) and solve for x.

⇒ 5 x = 10

⇒ x = 2

By substituting the value of x = 2 in (1), we get

⇒ 2 ( 2 ) + y = 4

⇒ y = 4 - 4

⇒ y = 0

We can use Cuemath's online system of equations calculator to solve the equations.