Verified answer

In order for (6, 2) to lie on the line -x - 8y = -22, x = 6 and y = 2 must satisfy this equation.

Plugging in x = 6 and y = 2 into -x - 8y gives:

-x - 8y = -6 - 8(2) = -22.

Since -x - 8y = -22, (6, 2) lies on -x - 8y = -22.

Now, to see if (6, 2) satisifies the given system, x = 6 and y = 2 must satisfy BOTH equations. By plugging in x = 6 and y = 2 into -7x + 3y, we see that that this, indeed, equals -36. Thus, the point is a solution of the system.

I hope this helps!

-7(6) + 3(2) = -36

-42 + 6 = -36

yes (6.2) lies on line -x - 8y = -36