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Worksheet: Solving Quadratic-Quadratic Systems of Equations

Q1:

Find all of the solutions to the simultaneous equations 𝑦 + 2 π‘₯ = 3 and π‘₯ + π‘₯ 𝑦 + 𝑦 = 3 2 2 .

  • A π‘₯ = 2 𝑦 = βˆ’ 5 π‘₯ = 1 𝑦 = 1 , ; ,
  • B π‘₯ = 2 𝑦 = βˆ’ 5 π‘₯ = 1 𝑦 = βˆ’ 1 , ; ,
  • C π‘₯ = βˆ’ 4 𝑦 = βˆ’ 1 π‘₯ = 1 𝑦 = 1 , ; ,
  • D π‘₯ = 2 𝑦 = βˆ’ 1 π‘₯ = 1 𝑦 = 1 , ; ,