Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations 4x-2y-5z=-51 4x-y-2z=-36

y=15-3z

x=-5.25-0.25z

Step-by-step explanation:

You are given the system of two equations with three variables:

Write the augmented matrix for this system of equations

Now,  find the reduced row-echelon form of the augmented matrix for this system of equations. Subtract the second row from the first row:

You get the system of two equations:

From the second equation

Substitute it into the first one:

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

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.