Respuesta :

Answer:

Infinitely many solutions.

Step-by-step explanation:

Given

[tex]y = -x + 3[/tex]

[tex]3x + 3y = 9[/tex]

Required

Using substitution method, solve

Substitute -x + 3 for y in [tex]3x + 3y = 9[/tex]

[tex]3x + 3(-x + 3) = 9[/tex]

Open bracket

[tex]3x - 3x +9 = 9[/tex]

[tex]9 = 9[/tex]

[tex]0 = 0[/tex]

The above shows that there are infinitely many solutions.