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  • 10-07-2022
  • Mathematics
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3. Find the point of intersection of the graphs for each system. a.2x + 2y = 3 and 6x-6y = -1​

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Аноним Аноним
  • 10-07-2022

Given :

  • 2x + 2y = 3 (Equation #1)
  • 6x - 6y = -1 (Equation #2)

Multiply Equation #1 by 3 :

  • 3(2x + 2y) = 3(3)
  • 6x + 6y = 9 (Equation #3)

Add Equations 2 and 3 :

  • 6x - 6y + 6x + 6y = -1 + 9
  • 12x = 8
  • x = 2/3

Now, input x in Equation #3 to find y :

  • 6(2/3) + 6y = 9
  • 4 + 6y = 9
  • 6y = 5
  • y = 5/6

∴ Hence, the point of intersection is (2/3, 5/6).

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