Three students are working to find the solution set of this system of equations:

y = 2x – 5
3y = 6x – 15

Use the drop-down menus to complete the statements about each of their methods.

Josh

Josh correctly graphs the two lines and sees that they ( ). This means the system has ( ) solution(s).

Katie

Katie correctly sees that 3y = 6x – 15 ( ) a multiple of y = 2x – 5.

Aki

Aki correctly concludes that because dividing 3y = 6x – 15 by 3 will ( ) be equal to y = 2x – 5, the system has ( ) solution(s).