# What is the solution to this system of linear equations x − 3y = − 2, x + 3y = 16 ?

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 x − 3y = − 2, x + 3y = 16 is { x , y } = { 7, 3}.

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

**Explanation:**

To solve the system of linear equations we will add the given equations to solve for x.

Let,

x − 3y = − 2 ----------- (1)

x + 3y = 16 ------------ (2 )

⇒ 2x = 14

⇒ x = 7

By substituting the value of x = 7 (1), we get

⇒ ( 7 ) − 3y = − 2

⇒ 3 y = 9

⇒ y = 3

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