Intermediate Algebra
posted by Jordan .
Determine whether the point (1, 8) is a solution of the system
2x + 6y = 50
10x + 0y = 10
by substituting the point into each equation.
So far I have:
2x=6y=50
y=502x
10x+10y=10
10x+0(502x)=10
10x+0=10
x=10
y=502x
y=502(1)
y=502
y=48
PLEASE HELP! I'm lost. I've had tutoring and still do not understand fully.

Plug x=1 and y=8 into the two equations simultaneously and see if both are satisfied.
They both are.
2 + 48 = 50
10 = 10
Therefore (1,8) is the solution.
Your equation y=502x
is wrong. 
You are confusing SOLVING the two equations (which is possible by various means) with TRYING OUT a sample solution you have been given, to see if it works.
You have made the problem harder than it really is, and made mistakes in the process.