# Solve the following system of equations 2x + y = 3 and x = 2y - 1.

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 2x + y = 3 and x = 2y - 1 is {x, y} = {1, 1}.

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

**Explanation:**

Let 2x + y = 3 be equation 1

x = 2y - 1 be equation 2

To solve the system of linear equations we will substitute value of x = 2y - 1 in eq^{n} 1 and solve for x.

⇒ 2(2y - 1) + y = 3

⇒ 4y - 2 + y = 3

⇒ 4y + y = 3 + 2

⇒ 5y = 5

⇒ y = 1

Put y = 1 in equation 2

⇒ x = 2(1) - 1

⇒ x = 1

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