What is the solution to the system of equations 2x – y = 7, y = 2x + 3 ?
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.
Answer: The system of linear equations 2x – y = 7, and y = 2x + 3, has no solution.
Let's solve the system of linear equations in two variables.
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.