What is the solution to the system of equations 2x - y = 7, y = 2x + 3?

Solution:

The equations 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.

To solve the system of linear equations we will substitute the value of y.

Let 2x – y = 7 be equation (1) and y = 2x + 3 be equation (2) 

Put the value of y = 2x + 3 in equation (1).

⇒ 2 x – ( 2x + 3 ) = 7

⇒ 2x - 2x - 3 = 7

⇒ - 3 = 7

So, there is no solution.

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

Thus, the system of linear equations 2x – y = 7 and y = 2x + 3, has no solution.

What is the solution to the system of equations 2x - y = 7, y = 2x + 3?

Summary:

The system of linear equations 2x - y = 7, and  y = 2x + 3, has no solution.