anonymous
  • anonymous
Solve: 8x - y = -6 and xy = 9
Mathematics
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anonymous
  • anonymous
Solve: 8x - y = -6 and xy = 9
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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2bornot2b
  • 2bornot2b
\[x=9/y\] Putting the above value of x in the first equation \[72/y-y=-6\implies 72-y^2=-6y\implies y^2-6y-72=0\]
2bornot2b
  • 2bornot2b
I hope you can solve the quadratic equation....
anonymous
  • anonymous
So I just do the quad form and then it should give me my answer for Y?

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anonymous
  • anonymous
Awesome, thanks
2bornot2b
  • 2bornot2b
Yes, you will get two values of y, by solving the above quadratic equation. Now put each of them on any one of your equations, and you will get two values of x. So that's the solution, two values of x and two values of y.
2bornot2b
  • 2bornot2b
You are welcome! It also must be mentioned here, that the solutions must be written in such a way such that the reader can make out from your writing which x is corresponding to which y.

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