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.

21

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.