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Solve the system of equations.\newliney=3x2−47x−38y = 3x^2 - 47x - 38\newliney=−47x+10y = -47x + 10\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

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Solve a system of linear and quadratic equations: parabolasright chevron icon

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Q. Solve the system of equations.\newliney=3x2−47x−38y = 3x^2 - 47x - 38\newliney=−47x+10y = -47x + 10\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)
  1. Set Equations Equal: Set the two equations equal to each other since they both equal yy.3x2−47x−38=−47x+103x^2 - 47x - 38 = -47x + 10
  2. Move Terms to One Side: Move all terms to one side to set the equation to zero.\newline3x2−47x+47x−38−10=03x^2 - 47x + 47x - 38 - 10 = 0\newline3x2=483x^2 = 48

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