Given the following system of equations, identify the type of system. x + y = 4 x - y = 6

The type of system is Independent System.

Step-by-step explanation:

Given : The system of equations   and

To find : Identify the type of system?

Solution :

Types of system,

1) A consistent system has at least one solution.  

2) An inconsistent system has no solutions.

3)  An independent system has exactly one solution.

4)  A dependent system has infinitely many solutions.

Now, we solve the system of equations.

Let Equation (1),

Equation (2),

Applying elimination method,

Add equation (1) and (2),

Substitute in equation (1),

The solution of the system of equations is (5,-1) i.e. exactly one solution.

Therefore, The type of system is Independent System.

i believe that the slope of the line is -5

step-by-step explanation: