I will fan and medal! 5x+7y=31 2x+4y=16 Which of the following systems could be used to solve the given system of equations by the addition method? 10x + 14y = 31 and -10x - 20y = 16 10x + 14y = 62 and 10x + 20y = 32 -10x - 14y = -62 and 10x + 20y = 80

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I will fan and medal! 5x+7y=31 2x+4y=16 Which of the following systems could be used to solve the given system of equations by the addition method? 10x + 14y = 31 and -10x - 20y = 16 10x + 14y = 62 and 10x + 20y = 32 -10x - 14y = -62 and 10x + 20y = 80

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im not quite sure what your asking, do you mean which of the bottom system of equations give you the same value as the top system of equations?
yes i think so @Jdosio
When you solve a system of equations with the addition method, you want the sign you are getting rid of to be opposite on top and bottom. So for example, 5x and -5x. So we can get rid of one of the choices immediately.

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okay, we can get rid of the 2nd one @LegendarySadist
Yep. Now look at the other two. See which one of them has a mistake in how it was solved.
Im not sure how to figure that out @LegendarySadist
I'm having a hard time trying to figure out how to explain it as well /:
oh well thank you for your help anyways! @LegendarySadist
Sorry I couldn't be of more help. As a hint, look at the first choice's numbers after the = sign.
A bigger hint: Look closely at the last one.
What do you get when you add them?
|dw:1438202427268:dw|
|dw:1438202552579:dw|

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