Question

What is the best way to describe the solution of this system of equations?

2x - 5y = 8
5y = -2x + 8

Answer 1

Note that 5y = -2x + 8 is identical to 2x - 5y = 8.

The graphs of these two equations overlap, and thus your system of equations has infinitely many solutions.

Answer 2

2x - 5y = 8 (1)

5y = -2x + 8 (2)

re-write equation 2

5y = -2x + 8

2x + 5y = 8

so Now both equations are the same

Answer: infinite many solutions