t4ayebhaangebeba t4ayebhaangebeba
  • 09-01-2017
  • Mathematics
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What are all the ordered pair solution for the system of equation shown below ? 7x^2 3y^2=187 3y^2-7x=47

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 12-01-2017
The system of equation given is
7x² + 3y² = 187 (no operation is shown in the problem, it is assumed there is a plus sign)
3y² - 7x = 47

From the first equation
3y² = 187 - 7x²
Substituting
 187 - 7x² + 7x = 47
-7x² + 7x 140 = 0
The solution of this equation is
x = -4 and 5

And solving for y
y = 25 and 4
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