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  • 06-12-2020
  • Mathematics
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Find an ordered pair that satisfies both of the equations below.

Find an ordered pair that satisfies both of the equations below class=

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melissa5shen
melissa5shen melissa5shen
  • 06-12-2020

Answer: (x, y) = (2, 3)

This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).

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