# What is the solution to this system of linear equations 7x – 2y = – 6 and 8x + y = 3?

An equation of degree 1 is called a linear equation. 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 7x – 2y = – 6 and 8x + y = 3 is (x, y) = (0, 3)

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

**Explanation:**

Let 7x – 2y = – 6 be eq^{n} 1 and

8x + y = 3 be eq^{n} 2

⇒ y = 3 – 8x

To solve the system of linear equations we will substitute the value of y = 3 – 8x in eq^{n} 1 and solve for x.

⇒ 7x – 2 (3 – 8x) = – 6

⇒ 7x – 6 + 16 x = – 6

⇒ 23x = – 6 + 6

⇒ x = 0

By substituting the value of x = 0 in y = 3 – 8x, we get

⇒ y = 3 – 8 (0)

⇒ y = 3 – 0

⇒ y = 3

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