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Mathematics 8 Online
OpenStudy (anonymous):

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OpenStudy (sleepyjess):

Welcome to OpenStudy! What do we need to do with these equations?

OpenStudy (sleepyjess):

Solve, ok, so do you want to solve by elimination or substitution?

OpenStudy (sleepyjess):

Ok :) so we need to multiply one or both equations so that either x or y cancels. I'm thinking it will be easiest to multiply the second equation by -2 to make y cancel

OpenStudy (sleepyjess):

Could you do that? :)

OpenStudy (sleepyjess):

That's ok :) I'm here to help First, we have -2x*-2, a negative times a negative is a postive

OpenStudy (sleepyjess):

Yep

OpenStudy (sleepyjess):

Now y*-2, a negative times a positive is a negative

OpenStudy (sleepyjess):

close, -2y

OpenStudy (sleepyjess):

now 8*-2

OpenStudy (sleepyjess):

Yep, so no we have 4x - 2y = -16, now we add the system of equations vertically

OpenStudy (sleepyjess):

Yep, now add the x's together, the y's cancel, and add the constants

OpenStudy (sleepyjess):

Yep, now how do we get just x on the left side?

OpenStudy (sleepyjess):

yes! divide both sides by 7, and -14/7 is?

OpenStudy (sleepyjess):

yes! so now we have x :D we can just substitute that into one of the equations, and we end up with y

OpenStudy (sleepyjess):

that's ok :) since we have that x is -2, we can plug that into -2x + y = 8 -2x + y = 8 -2(-2) + y = 8 4 + y = 8

OpenStudy (sleepyjess):

Nope, 4 and y are not like terms, so we can't combine them. Instead, we need to get rid of the 4

OpenStudy (sleepyjess):

almost! what is the opposite of adding?

OpenStudy (sleepyjess):

Yes! So we need to subtract 4 from both sides

OpenStudy (sleepyjess):

and that will give us y

OpenStudy (sleepyjess):

Yep, so our final coordinate, or the solution, is (-2, 4)

OpenStudy (sleepyjess):

No problem! And I must say thank you for participating and asking for help when you weren't sure on how to do something

OpenStudy (sleepyjess):

If you have any questions about the site, feel free to message me and let me know :)

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