Question

determine whether the system has 1 solution, no solution, or indefinitely many solutions

y=-x+2
3x+3y=6

Answer 1

any help would be appreciated

Answer 2

1 solution -> if you can find an x and y
no solution -> if x and y both get canceled out
infinite solution -> 0 =0

Answer 3

They are exactly the same line so there are infinitely many solutions.

Answer 4

ok is there any way someone can like draw it out for me so i can get a better understanding

Answer 5

look at 3x + 3y = 6

if you divide everything by 3, you get

x + y = 2

which is your first equation

Answer 6

that is how you know they are the same line

Answer 7

oh thats so simple thank you i get it now