SOLUTION: can you please help in showing me the steps to solve this equation? thank you. The point (6, 2) lies on the line -x � 8y = -22. Determine if this point is a solution of the sys

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Question 615001: can you please help in showing me the steps to solve this equation? thank you.
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

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the point is (6,2)
it lies on the line:
-x - 8y = -22.
if it was a solution to the system of linear equations, then the point would be at the intersection of the 2 lines of those equations.
if it was at the intersection of those 2 lines, it would be common to both lines.
it would therefore have to be on both lines.
if it was on both lines, then both equations would be true when you replaced x and y with 6 and 2.
let's see what happens if we do that.
first equation is -x - 8y = -22
this becomes:
-(6) - 8(2) = -6 - 16 = -22
it is definitely on the first line.
second equation is -7x + 3y = -36
this becomes:
-7(6) + 3(2) = -42 + 6 = -36
looks like it's on the second line too.
since the point is common to both equations, it is a simultaneous solution of the system of those equations
you can graph these equations as shown below:

you can see that the lines intersect at the point (6,2).