Help! does anyone know the answer to this

not really what unit test or topic is that ?

1. The system does has one solution.
2. The systems doesn't graph as parallel lines.
3. Both lines do not  have a same slope.
4. Both lines do have a y - intercept.
5. The equations don't graph as a same line.
6. The solution is the intersections of two lines.

2y = x + 10
 2         2
 y = 0.5x + 5

3y = 3x + 15
 3          3
  y = x + 5

  0.5x + 5 = x + 5
- 0.5x   - 0.5x
             5 = 0.5x + 5
           - 5             - 5
             0 = 0.5x
           0.5    0.5
             0 = x
             y = x + 5
             y = 0 + 5
             y = 5
       (x, y) = (0, 5)