How many solutions does the system 2y=10x-14 and 5x-y=7 have

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29-01-2014
Mathematics

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How many solutions does the system 2y=10x-14 and 5x-y=7 have

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Lw3166idn Lw3166idn · Answer 1 · 2020-02-03T12:12:09-05:00

Lw3166idn Lw3166idn

03-02-2020

Answer: 1 solution at (2.8, 7)

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Dory123idn Dory123idn · Answer 2 · 2020-02-03T16:09:09-05:00

Dory123idn Dory123idn

03-02-2020

Answer:

All real numbers

Step-by-step explanation:

Take 2y=10x-14 and divide both sides by 2. Once you do that, you get y=5x-7. Use substitution and plug that into 5x-y=7. You get 5x-(5x-7)=7 which eventually simplifies to 7=7 which shows that you can plug in an infinite number of solutions so the answer is all real numbers.

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