Consider the system of linear equations.
2y = x + 10
3y = 3x + 15
which statements about the system are true? check all that apply.
the system has one solution.
the system graphs parallel lines.
both lines have the same slope.
both lines have the same y-intercept.
the equations graph the same line.
the solution is the intersection of the 2 lines

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)