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Mathematics 21 Online
OpenStudy (anonymous):

y=9x-5 2x-y=-37

OpenStudy (anonymous):

Elimination or substitution?

OpenStudy (anonymous):

substitution

OpenStudy (anonymous):

Ok so plug y=9x-5 into 2x-y=-37 \[2x-(9x-5)=-37\] Now solve for x by simplifying, gathering like terms and isolating x

OpenStudy (anonymous):

ok thx

OpenStudy (anonymous):

and then once you know x then you can solve for y

OpenStudy (anonymous):

can u help me solve this 1 problem so I can know how to do the others im a fast learner

OpenStudy (anonymous):

Ok where are u stuck at?

OpenStudy (anonymous):

2x-(9x-5)=-37 can u tell me which part I start with

OpenStudy (anonymous):

\[2x-(9x-5)=-37\] \[2x-9x+5=-37 \to \text { Distributive Property}\]

OpenStudy (anonymous):

We distributed the -

OpenStudy (anonymous):

Do you follow that?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Ok next we gather like terms. Subtract and add any terms that have the same base \[2\color \red {x}-9\color \red {x}+5=-37\] I have highlighted the terms that are the same and can be added or subtracted

OpenStudy (anonymous):

-7x+5=-37 right

OpenStudy (anonymous):

Yess Now we wanna isolate the x so we subtract 5 from both sides

OpenStudy (anonymous):

x=6?

OpenStudy (anonymous):

\[-7x+5-5=-37-5\] \[-7x=-42\]

OpenStudy (anonymous):

And yes x=6

OpenStudy (anonymous):

Now we know that y=9x-5 So plug x back into that equation and you will get y

OpenStudy (anonymous):

y=9(6)-5

OpenStudy (anonymous):

y=54-5 y=49

OpenStudy (anonymous):

(6,49)?

OpenStudy (anonymous):

Yup :)

OpenStudy (anonymous):

You are a fast learner! :)

OpenStudy (anonymous):

ty ur a good teacher

OpenStudy (anonymous):

2x+3y=21 x=-2y+8 is this the same? type

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