The point (6,2) lies on the line -x-8y=-22. Determine if this point is a solution of the system.

-x-8y=-22,-7x+3y=-36

To determine if the point (6,2) is a solution of the system -x - 8y = -22 and -7x + 3y = -36, we need to substitute the x and y values of the point into both equations and see if the left side of each equation equals the right side.

For the first equation, substituting x = 6 and y = 2, we get:
-(6) - 8(2) = -22
-6 - 16 = -22
-22 = -22

For the second equation, substituting x = 6 and y = 2, we get:
-7(6) + 3(2) = -36
-42 + 6 = -36
-36 = -36

In both cases, the left side of each equation equals the right side, which means that the point (6,2) is a solution for both equations. Therefore, it is a solution of the given system of equations.