Question

Don't Want Answer!!! Just want someone to help me, explain how to figure this out.

How many solutions does the system of equations have?
y-6x=-3 and 4y-24x=-16

a.one
b.two
c.infinetley many
d. none

Answer 1

time the first one by 4, what do you have?

Answer 2

I got 4y-24x=-12

Answer 3

isolate 4y from both equations , what do you have?

Answer 4

-24x=-16 and -24x=-12

Answer 5

no, no, "isolate" means 4y is in one side, and others are in other side
Like this: for the firs one 4y = -12+24x
do the same with the second one, please

Answer 6

oh, sorry. :P 4y=-16+24x

Answer 7

that is the first one,
the second one?

Answer 8

4y=-16-24x

Answer 9

Oh I am sorry, your first one is correct. Now I rewrite them
4(y -6x)=4*(-3) ------> 4y -24x =-12 isolate 4y --> 4y = -12 +24x
4y -24x=-16 isolate 4y ---> 4y = -16 +24x
got me so far??

Answer 10

yeah

Answer 11

you see, both them have the left sides are 4y, that means the right side are equal
-12+24x = -16 +24x
got this part?

Answer 12

yup

Answer 13

for this, -24x both sides, what do you have?

Answer 14

don't worry about the weird answer, just do

Answer 15

-12=-16

Answer 16

yeah!!! -12 =-16 . Does it make sense to you?

Answer 17

yeah! The answer is D. Right? Because -12 can never be equal to -16.

Answer 18

yup , yuop uyoup yyyyyyyyyyyyup, you got it by yourself, I didn't say anything about the answer, hehehee CONGRAT

Answer 19

yay! \('.')/ Thanks again!

Answer 20

:)