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Solve the system of equations.\newliney=x2+43x46y = x^2 + 43x - 46\newliney=43x+18y = 43x + 18\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Full solution

Q. Solve the system of equations.\newliney=x2+43x46y = x^2 + 43x - 46\newliney=43x+18y = 43x + 18\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)
  1. Substitute yy into first equation: Substitute yy from the second equation into the first equation: x2+43x46=43x+18x^2 + 43x - 46 = 43x + 18.
  2. Subtract 43x43x from both sides: Subtract 43x43x from both sides to get x246=18x^2 - 46 = 18.

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