# What is the solution to this system of linear equations y − x = 6 and y + x = − 10 ?

An equation of degree 1 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 is x = - 8, y = -2.

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

**Explanation:**

To solve the system of linear equations we will substitute the value of y = 6 + x in y + x = − 10 and solve for x.

⇒ (6 + x) + x = − 10

⇒ 2x + 6 = − 10

⇒ 2x = - 16

⇒ x = - 8

By substituting the value of x = - 8 in y - x = 6, we get

⇒ y - x = 6

⇒ y - (- 8 ) = 6

⇒ y = 6 - 8

⇒ y = -2

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