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