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Mathematics 7 Online
OpenStudy (anonymous):

Solving Linear equations with substitution. Can anyone teach me.

OpenStudy (anonymous):

i can

OpenStudy (anonymous):

please help, I understand what to do but I just don't know how to get the equation to solve it.

OpenStudy (anonymous):

2x - 3y = -2 4x + y = 24 ---------- you mean problems such as this one ?

OpenStudy (anonymous):

yup @kelliegirl33

OpenStudy (anonymous):

@kelliegirl33 I thought you didn't go on OS anymore...

OpenStudy (anonymous):

nvm

OpenStudy (anonymous):

my computer is acting up..I hope it doesn't disconnect. The first thing you have to do is to isolate a variable. In this problem, the easiest variable to isolate is y. Do you understand ?

OpenStudy (anonymous):

yup.

OpenStudy (anonymous):

2x - 3y = -2 4x + y = 24 take your 2nd equation and isolate the y 4x + y = 24 -- subtract 4x from both sides y = -4x + 24 now we substitute this back into the first equation 2x - 3(-4x + 24) = - 2 have I lost you yet ?

OpenStudy (anonymous):

not yet

OpenStudy (anonymous):

2x - 3(-4x + 24) = -2 --- distribute through the parenthesis 2x + 12x - 72 = -2 -- add 72 2x + 12x = -2 + 72 -- combine like terms 14x = 70 -- divide by 14 x = 5 now sub 5 in for x in the other equation 4x + y = 24 4(5) + y = 24 20 + y = 24 y = 24 - 20 y = 4 check... 4x + y = 24 4(5) + 4 = 24 20 + 4 = 24 24 = 24 (correct) any questions ?

OpenStudy (anonymous):

thats alot

OpenStudy (anonymous):

ahhhhhhhhhhhhhhh OKAY THANK YOU SOOO MUCH!

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

I just put in all the steps. It is really not that hard. Just be sure and keep track of your signs. It is a good idea to check your answers as well.

OpenStudy (anonymous):

Thank you so much @kelliegirl33

OpenStudy (anonymous):

no problem...any more problems with them and you can just tag me :)

OpenStudy (anonymous):

@kelliegirl33 thankkk youuuuu

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