Question

HELP! Order pairs.
-x+y=-2
2x-3y=4

Answer 1

do you prefer substitution or elimination ?

Answer 2

Doesn't matter I'm not quite sure how to solve this..

Answer 3

Sometimes substitution would be the best choice., elimination would be the best choice.

Answer 4

lets do substitution is easier...
you want to get 1 variable by itself. In this problem, lets take the 1st equation and get y by itself.
-x + y = -2
add x to both sides and get y by itself. Can you do that ?

Answer 5

So, I'll add it also to the -2? I got -1.

Answer 6

no...let me show you..
-x + x + y = -2 + x
the x's on the left side cancel leaving you with y = -2 + x
Do you see how I did that ?

Answer 7

What do I do after that?

Answer 8

-x + y = -2.....we want the y by itself so we have to move the x to the other side. To do this we do the opposite. What I mean by that is if x is negative. we add x to cancel them out....if x would have been positive, we would subtract x. What you do on one side of the equal sign, you have to do on the other side.
so -x + y = -2 (since the x is negative, we add x to both sides because we want the x on the left side to cancel out.
-x + x + y = -2 + x.
leaving you with y = -2 + x.
Is that better ?

Answer 9

now that we know y = -2 + x...we substitute -2 + x in for y in the other equation....like this :
2x - 3y = 4
2x - 3(-2 + x) = 4
you with me so far ?

Answer 10

do you understand ?

Answer 11

Yes, I am! :) Then it'll be 2x+6-3=4 ?

Answer 12

after multiplying that?

Answer 13

almost...your forgetting the x's
2x - 3(-2 + x) = 4
2x + 6 - 3x = 4
now we combine like terms
-x + 6 = 4
you with me so far ?

Answer 14

Ahh, I forgot putting the x's lol
How would we combine the like terms? Are we going to add 6 & 4 together?

Answer 15

we are only working on the left side when combining like terms...
2x - 3x = -x....the 6 has no like terms on the left side.
so now we have :
-x + 6 = 4
now we want to get the 6 on the other side because we want x by itself. We do the opposite. since 6 is positive, we subtract 6 from both sides
-x + 6 - 6 = 4 - 6
you understanding this ?

Answer 16

Ohh, ok I get it know so far!

Answer 17

I appreciate you helping me out so i'll like to thank you!!

Answer 18

the 6's on the left side cancel leaving us with -x = -2
We do not want x to be negative so we are going to multiply the equation by -1 to make x positive, but remember what we do on one side we have to do on the other side.
(-1)-x = (-1)(-2)
understand ?

Answer 19

Yes, yes I do (:

Answer 20

by doing that, we get x = 2
you following me ?

Answer 21

ohhh, okay yeah I am so so far we have x=2 so then we'll sub it onto the other equation? can we do that?

Answer 22

yes...we can and we will....sub 2 in for x in either of the original equations to find y. Show me what you can do.

Answer 23

do you need some help ?

Answer 24

yay!! y=0 ??

Answer 25

hold on..let me check

Answer 26

alrighty :D

Answer 27

2x - 3y = 4
2(2) - 3y = 4
4 - 3y = 4
-3y = 4 - 4
-3y = 0
y = 0/-3
y = 0
yes... your right

let us check our answers by subbing in known values into eithr equation and if they come out equal, we have done it right.
2x - 3y = 4
2(2) - 3(0) = 4
4 - 0 = 4
4 = 4

BINGO.....we got it....x = 2 and y = 0 or (2,0)

way to go gneyweny :)

Answer 28

AAAAHHH THANK YOU SO MUCH FOR STICKING AROUND AND HELPING ME OUT! YOU'RE THE BEST! :D

Answer 29

I don't mind helping when I can.....you did great also :)

Answer 30

Thank you, again! I really appreciate it! (:

Answer 31

anytime :)