Question

How do you solve the system of equations `-8x = - y + 5` and `16x + 10= 2y`?

Answer 1

There are infinitely many solutions since the equations are co-linear.
...or you could state this as the general set `{(x,8x+5), AAx inRR}`

Explanation:

Given
[1]`color(white)("XXX")-8x=-y+5`
[2]`color(white)("XXX")16x+10=2y`

Rearranging [1] and [2] into standard form: `Ax+By=C, A>=0`
[3]`color(white)("XXX")8x-y=5`
[4]`color(white)("XXX")16x-2y=10`

We observe that [4] is simply [3] with both sides multiplied by `2`
so the equations represent the same thing (the equations are co-linear).