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.

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

David correctly sees that y ___ be equal to both 6 more than twice a number and 1 less than twice a number at the same time.

Alex correctly concludes that because 2x+6 and 2x−1 will ___ be equal, the system ___ has solution(s).

FILL IN THE BLANK OPTIONS:
Shannon-
1st blank) intersect, do not intersect, are the same line
2nd blank) zero, one, infinitely many

David-
can, cannot

Alex-
1st blank) sometimes, never, always
2nd blank) zero, one, infinitely many