How many solutions does the system of equations have?
y=6x+2 and 3y-18x=12

One
Two
Infinitely many
None

Question

How many solutions does the system of equations have? 
y=6x+2 and 3y-18x=12 

One
Two
Infinitely many
None

amoodarya · Answer

multiply first by 3 
THEN ADD  by the second

amoodarya · Answer

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

anonymous · Answer

So multiply both equations by three??

amoodarya · Answer

no first one

amoodarya · Answer

y-6x=2 ---> *3
goes to 
3y-18x=6
now compare with  other one 
3y-18x=12 
that means 
12=6 
now wahts the answer ?

anonymous · Answer

The lines are parallel, no solution.

anonymous · Answer

Ohh.. No solution. Thank you!

anonymous · Answer

What about x-2y=6 and 3x-6y=18 ???

superdavesuper · Answer

multiply 1st eqn by 3 n u got the same eqn as the 2nd one. so theres infinite no. of solution as well :)

anonymous · Answer

wouldn't there be one?

superdavesuper · Answer

Nope u have 2 unknown, x and y, but only one eqn cuz' the 1st n 2nd eqn are the same.

anonymous · Answer

so, Infinitely many?

superdavesuper · Answer

Correct :)

anonymous · Answer

Thanks. :D