Please help. I have been trying to figure this problem out for an hour now.

Solve the following system of equations.

X + 8y = 5 (1)
x=8-8y (2)

put the second in standard format.

x+8y=8
but the first is
x+8y=5
so the equations are not independent, they are in fact parallel lines, and have no solution where they cross.

that is

x + 8 y = 5
and
x + 8 y = 8

These are two parallel lines which never intersect, no solution possible.

To solve the system of equations, we can use the substitution method to eliminate one variable and solve for the other.

Let's start by isolating one variable in one of the equations. Looking at equation (2), we have x = 8 - 8y.

Now we can substitute this expression for x into equation (1) to eliminate x:
(8 - 8y) + 8y = 5

Simplifying this equation:
8 - 8y + 8y = 5
8 = 5

This is a contradiction since 8 does not equal 5. As a result, the system of equations is inconsistent, which means there is no solution that satisfies both equations simultaneously.

In graphical terms, the two equations represent parallel lines that will never intersect.

Therefore, there is no solution to the system of equations.