Question

What is the solution to the system of equations?

https://static.k12.com/bank_packages/files/media/mathml_d676641518b9981930709d538c634ae09a39918d_1.gif

(_____,_____)

Answer 1

i will medal and fan plz help i do not know!

Answer 2

2x + y = -3
x - 2y = -4

start by multiplying the first equation by 2, and tell me what you get

Answer 3

ok one sec

Answer 4

is it 4?

Answer 5

no, I'm just asking you to multiply an equation by 2

just take the equation 2x + y = -3 and double everything

Answer 6

what is 2x*2 = ?

Answer 7

oh ok my bad i replacd y hold on

Answer 8

4x

Answer 9

good.

now we double y to get 2
and double -3 to get -6

so our new equation becomes

4x + 2y = -6, with me so far?

Answer 10

yes i am writing this down

Answer 11

now we have:

4x + 2y = -6
x - 2y = -4

now add the two equations together and tell me what you get

Answer 12

so like 4x + 2y = -6 + x - 2y = -4???

Answer 13

um, no...

Answer 14

oh....

Answer 15

add the x's, then add the y's.

4x + x = ?

Answer 16

oh ok ok ok i get it

Answer 17

one sec

Answer 18

for the x's i got 5x and for the y's i got 5y

Answer 19

is that it?

Answer 20

5x is right, 5y is not.

Answer 21

oh

Answer 22

what did i do wrong?

Answer 23

what is 2y - 2y = ?

Answer 24

oh minus... i added

Answer 25

and that is 0

Answer 26

good, now we add the numbers on the right side of the equations

Answer 27

-6-4 = ?

Answer 28

-10

Answer 29

good.

so 5x = 10

x = ?

Answer 30

*sorry, 5x = -10

Answer 31

oh -2?

Answer 32

good, so x = -2

now we can take one of our original equations:

x - 2y = -4

and plug in x = -2

-2 - 2y = -4

y = ?

Answer 33

1?

Answer 34

yup! so our answer is x = -2 and y = 1

we can write this as (-2,1)

Answer 35

oh so the answer is -2,1 but what happened to 5x?

Answer 36

oh wait nvm

Answer 37

sorry i know we solved that for 5x=10 me bad

Answer 38

thank you!