Question

Solve the system of equations.

3x + 3y = –6
–x + y = 0

A.
x = –1; y = –1

B.
x = 22; y = 7

C.
x = 10; y = –3

D.
x = 14; y = 5

Answer 1

Plug each answer into both equations and choose the answer that makes both sentences true.

Answer 2

okay. sometimes when i look at problems like these i think i have to go into a huge equation

Answer 3

You could solve the system but it is simpler in this case to just plug and chug

Answer 4

lol thanks

Answer 5

yw

Answer 6

so it's A. right?

Answer 7

yep

Answer 8

thanks for helping me

Answer 9

yw

Answer 10

here's a medal!

Answer 11

ty

Answer 12

anytime

Answer 13

Hi,

3x + 3y = –6
–x + y = 0


There are two ways to solve this. By substitution or by elimination. The Elimination Method seems simpler in this case.

We're going to multiply the bottom terms by -3, that way we can get the y terms to cancel.

3x + 3y = –6
-3(–x + y) = 0

3x + 3y = -6
3x - 3y = 6

Now our y-terms cancel and we have

6x = 0 (upon adding)

Which turns into x = 0/6, which reduces to x = 0.

Now plug in 0 for x in any of the equtions above.

3(0) - 3y = 6

-3y = 6

y = -2.

So we have (0, -2) as our two terms.

Plug it in to check your answer.

3(0) - 3(-2) = 6

0 + 6 = 6

6 = 6

Yes! The equation works! six is equal to six! This is known as the Elimination Method. I hope this was helpful and insightful! :)



OpenStudy Ambassador: Compassionate

Answer 14

yw! :D !

Answer 15

thanks! if i could give medals to both of you i would!

Answer 16

@Compassionate I'm afraid you made an error.

Answer 17

3(0)=0 and -6+0= -6

Answer 18

3x + 3y = –6
3(–x + y = 0)

3x + 3y = -6
-3x + 3y = 0

6y = -6

(Solving for x)

y = -1

-x + y = 0

-x + -1 = 0

-x = 1

x = -1


I see my error @mertsj , I fixed it!

Ignore the aforementioned post, dear. I messed up. Even we Ambies mess up sometimes! :) This is the correct solution, with work shown!


Cheers ~

Answer 19

It's the thought that counts! :)

Answer 20

Yesh it does ♥

Answer 21

lol

Answer 22

you guys all deserve one.

Answer 23

just for trying to help me!

Answer 24

♦_♦

Answer 25

:D !!!