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Mathematics 12 Online
OpenStudy (anonymous):

2y=-42-4x -x+2y=23

OpenStudy (johnweldon1993):

Okay...there are 2 ways of solving this...but I will be using the substitution method... Can you solve that first equation for 'y' ...?

OpenStudy (anonymous):

y-mx+b??

OpenStudy (johnweldon1993):

Well yes that will be the form...can you put that top equation into that form?

OpenStudy (anonymous):

y=-42-2x??

OpenStudy (johnweldon1993):

Close 2y = -42 - 4x We want to isolate 'y' soo we divide everything by 2 2y = -42 - 4x ------------- 2 2 2 y = -21 - 2x right?

OpenStudy (anonymous):

right

OpenStudy (johnweldon1993):

Okay...so now that we know what 'y' equals... y = This stuff.... We can go into our second equation...and where we see a 'y'...we replace it with "this stuff" Our second equation: -x+2y=23 Replace the 'y' with the -21 - 2x we just found...so -x+2(-21 - 2x) =23 Now we just simplify that

OpenStudy (anonymous):

tooo x=1

OpenStudy (johnweldon1993):

hmm -x + 2(-21 - 2x) = 23 after distributing the 2... -x - 42 - 4x = 23 combine the -x - 4x... -5x - 42 = 23 add 42 to both sides -5x = 65 Divide both sides by -5 x = -13 See what I did there?

OpenStudy (anonymous):

yes stalker i did thanks :)

OpenStudy (johnweldon1993):

Lol well we're not done yet... Now that we know what 'x' equals....we need to find what 'y' equals... so take either of your original equations...lets do the first one: 2y=-42-4x We now know x = -13....so replace the 'x' here with that 2y=-42-4(-13) distribute the -4... 2y = -42 + 52 do the addition....-42 + 52 = 10 so... 2y = 10 divide both sides by 2... y = 5 All make sense? :)

OpenStudy (anonymous):

yupp thanks darlin

OpenStudy (johnweldon1993):

No problem! Now I don't want to see you posting any more questions like this! Solve them like this :P

OpenStudy (anonymous):

fine .-.

OpenStudy (johnweldon1993):

:P haha sooo kidding :D

OpenStudy (anonymous):

lol u better beh lol

OpenStudy (johnweldon1993):

pfft or what!? :P

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