Question

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).

Answer 1

Answer:picture

Explanation:

Answer 2

Josh correctly graphs the two lines and sees that they are the same line. This means the system has infinitely many solutions.

Katie correctly sees that
`3y=6x-15` is a multiple of
`y=2x-5`.

Aki correctly concludes that because dividing
`3y=6x-15` by
`3` will cause the resulting equation to be equation to
`y=2x-5`, the equation has infinitely many solutions.