another addition/elimination method problem

label Algebra
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here's the problem:5x+5y=5

7x+7y=14 now my question is do you multiply -7 and 5 to both equations.

Oct 26th, 2015

Thank you for the opportunity to help you with your question!

Yes you can multiply the first equation by -7 and the second equation by 5.

(5x+5y=5)*-7=-35x-35y=-35

(7x+7y=14)*5=35x+35y=35

Add both right sides of these equations together and you get...

(-35x+35x)+(-35y+35y)=(-35+35)

0x+0y=0

0+0=0

0=0 which is true.

Therefore the answer is that all values of x and y are solutions to this system of equations.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 26th, 2015

hey for this systems of equations problem 7x+7y=7, 4x+4y=4, I got 0=0 but I wasn't sure if that was right. Can you check it for me.

Oct 26th, 2015

It is right. 0=0 is a true statement. So all values of x and y are solutions.

Oct 26th, 2015

thank

Oct 26th, 2015

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