The graph below shows a system of equations:

draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5, 0. draw a line labeled y equals x minus 1

the x-coordinate of the solution to the system of equations

Step-by-step explanation:

The graph is shown in the image attached.

The given equations are:

The solutions of this system represent the point that both lines have in common, which is also represented in the graph.

Always a system of equations represents the intercepting points between those curves.

Notice that if we multiply one equation by -1, we could eliminate one variable and find the value of the other one:

Then, we replace this value in one equation to find the other value:

Therefore, the solution is the point

So, the x-coordinate of the solution to the system of equations is

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)