Question

sole this system please put answer as ordered pair
x+y=-3
2x+3y=-11

Answer 1

First, isolate x or y in the first equation.

Answer 2

how do i do that?

Answer 3

Because they're both positive, you just subtract one. For x, the equation would end up x=3-y

Answer 4

Follow?

Answer 5

yeah

Answer 6

Ok. Now that x is isolated, we can replace each x in the other equation with 3-y, because we now know that is what x equals. That gives us an equation of 2(3-y)+3y=-11

Answer 7

Ok?

Answer 8

yeah im with you

Answer 9

Good! Now we need to isolate y in our new equation. Do you know how to do that?

Answer 10

y=2x+-11

Answer 11

any help?

Answer 12

Sorry for the delay!! I was helping somebody else.

Answer 13

Oops, you solved for y without 3-y in the new equation.

Answer 14

Because there's only one variable in the equation, you should be able to come up with a value for y without another variable in it.

Answer 15

not understanding

Answer 16

The equation that we came up with for the second equation was 2(3-y)+3y=-11

Answer 17

So now we need to solve for y in that equation

Answer 18

6-2y+3y=-11
6-5y=-11
+5 +5
6=-6
/6 /6
y=-1?

Answer 19

-2y+3y=y, not -5y

Answer 20

But good first effort. I'm honestly ecstatic that you're trying to do the work yourself, rather than relying purely on me :)

Answer 21

dang that was my bad

Answer 22

Haha it's fine

Answer 23

im really trying to learn

Answer 24

I can see that! I'm happy to help teach you as best I can.

Answer 25

6-2y+3y=-11
6-5y=-11
+5 +5
6=-6
/6 /6
y=-1?

Answer 26

Isn't that the same thing?

Answer 27

Or my internet connection is messed up. That's also a possibility

Answer 28

no i didnt type the same thing

Answer 29

Hmmmmm- would you mind copy/pasting your latest work then and repost it?

Answer 30

computer wont let me

Answer 31

what was your final answer?

Answer 32

-1

Answer 33

Well, either way, that's still incorrect. Let me show you.

Answer 34

ok

Answer 35

2(3-y)+3y=-11

Distribute

6-2y+3y=-11

Add Like Terms

6+y=-11

Subtract 6 from both sides.

y=-17

Answer 36

Now then- That's not your final answer, but we're very close. Now that we know what y is, we replace each y in the first equation with -17. This gives you an equation of x+(-17)=-3

Answer 37

This can be rewritten as x-17=-3

Now you just simplify by adding 17 to both sides of the equation, for a solution of x= 14

Answer 38

So your final answer is x=14 and y=-17

Answer 39

Well, I have to go now, but good luck with your math!!