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.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

it is not that hard all u have to do is plot the graph

step-by-step explanation: