What is the solution to the system below?
-3x-y=-3
9x+3y=9

(3, 3)

(3, -3)

no solution

infinite solutions on the line

Question

What is the solution to the system below? 
-3x-y=-3
9x+3y=9

(3, 3)

(3, -3)

no solution

infinite solutions on the line

anonymous · Answer

explain to me how to do this like how to start this off

anonymous · Answer

Ok, so your possibilities are:

Infinitely many solutions.
No solutions.
One solution.

I put this in this order because you'll want to check each one on it's own.

anonymous · Answer

So first, to check to see if it is infinite solutions:

If you have 2 equations (eq1 and eq2)

If  eq1 = k * eq2  (or vice versa) where k is any number, then you will have infinite solutions.

anonymous · Answer

Can you see a number which ,if you multiplied one of the equations by it, would give you the other equation?

anonymous · Answer

ok so i have to slove the equations first right??

anonymous · Answer

You can if you like.

anonymous · Answer

It's not really needed for 2 of the 3 cases.

anonymous · Answer

for example 
-3x-y=-3
-y=-3x-3

anonymous · Answer

That's not quite solved yet. Need to get rid of the - in front of the y.

myininaya · Answer

did you mean to add 3x on both sides?

anonymous · Answer

Assuming you're solving for y.

anonymous · Answer

Also yes, it should be a +3x

anonymous · Answer

yea m sloving for y

anonymous · Answer

Ok, so you add 3x to both sides you'll have:

-y = 3x - 3

anonymous · Answer

Then multiply both sides by -1

anonymous · Answer

y=-3x-3

anonymous · Answer

y = -3x + 3

anonymous · Answer

You have to multiply -1 times both the 3x and the -3

anonymous · Answer

y i dnt get that y do i need to * -1??

anonymous · Answer

to get rid of the - in front of the y.

anonymous · Answer

ok i already did that o the y is now postive so its postive y=-3x-3

anonymous · Answer

$-3x-y=-3$
 +3x                +3x
$\implies -y = 3x - 3$
        *-1      *-1
$\implies y = -3x + 3$

anonymous · Answer

No, you have to multiply the whole right side by -1.

$-1(3x - 3) = -3x + 3$

anonymous · Answer

ok i already did that o the y is now postive so its postive y=-3x-3

anonymous · Answer

yes that is wat i did soooo... wat do i do next do i slove the nxt equation?? qwhich would be y=-3x-3

anonymous · Answer

NO.

It's y = -3x + 3

anonymous · Answer

ok i already did that o the y is now postive so its postive y=-3x-3

anonymous · Answer

o ok

anonymous · Answer

now do the same thing for the other equation.