Question

Algebra 2 question? What is the solution of the following system?
-3x-2y=-12
9x+6y=-9

Answer 1

A. (2,1)
B. no solutions
C. (-2,-1)
D. infinitely many solutions

Answer 2

do you want step by step or just the answer?

Answer 3

step by step

Answer 4

ok. letss call the set of formulas A and B.
lets star with
we'll get Y alone to start.
first subtract -3x from each side.
-2Y=-12+3X

Answer 5

Okay

Answer 6

Then divide by -2 right

Answer 7

this problem will either have decimals or fractions.
witch do you prefer?

Answer 8

decimals

Answer 9

ok. correct
Y=-6+.66X
now we can plug this in to B in place of Y

Answer 10

9x+6(-6=+.66X)=-9 (woops)

Answer 11

Then distributive property correct?

Answer 12

9x+6(-6+.66X)=-9 (3rd times the charm.)
ok so know we need to get X alone.
we need to distribute first.
9X-36+3.96X=-9

Answer 13

Then add like terms?

Answer 14

yes good job.
12.96Y+36=-9
then subtract 36
12.96Y=-45

Answer 15

So y = 3.472

Answer 16

-3.72

Answer 17

Then put it back into the first problem so -3x-2(-3.72)=-12?

Answer 18

yep. how do you think that should be done?

Answer 19

-3x+7.44=-12

Answer 20

-3x=-19.44

Answer 21

yes what next?

Answer 22

x=6.48

Answer 23

nice work now you have both of the answers you need.

Answer 24

That equals none of my choices up there though.

Answer 25

oh.....

Answer 26

give me a minute to look over it.

Answer 27

Okay

Answer 28

is x first or Y in the options?

Answer 29

(X,Y)

Answer 30

then i think it's A. is this a qustion from a book or did your teacher make it?

Answer 31

The book

Answer 32

question*

Answer 33

I thought it was B :/

Answer 34

oh well all i can suggest is ask your teacher to look at it. but if anything the answer is A

Answer 35

Okay, thanks.

Answer 36

that may be sense we got some random answer.

Answer 37

yw.