Question

2. How many solutions does this system have?

Answer 1

pne
none
infinite
two

Answer 2

rearranging:

2x + y = 3
6x + 3y = 9

hint : the second equation can be obtained from the first by multiplying by 3

Answer 3

still confused

Answer 4

dividing the second one by 3 gives the first
so the 2 equations have same slope and go through the same points

if we plotted points on same graph it would give just one line

so there are infinite solutions

see the following plot:

Answer 5

i understand where i messed up

Answer 6

thanks for the help

Answer 7

http://www.wolframalpha.com/input/?i=2x+%2B+y+%3D+3%2C++6x+%2B+3y+%3D+9

note that one line is superimposed on the other

Answer 8

yw