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Solve the system of equations.\newliney=50x−32y = 50x - 32\newliney=x2+32x+49y = x^2 + 32x + 49\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)

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Q. Solve the system of equations.\newliney=50x−32y = 50x - 32\newliney=x2+32x+49y = x^2 + 32x + 49\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)
  1. Substitute yy into second equation: Substitute yy from the first equation into the second equation: y=50x−32y = 50x - 32 becomes x2+32x+49=50x−32x^2 + 32x + 49 = 50x - 32.
  2. Rearrange to set to 00: Rearrange the equation to set it to 00: x2+32x+49−50x+32=0x^2 + 32x + 49 - 50x + 32 = 0.
  3. Simplify the equation: Simplify the equation: x2−18x+81=0x^2 - 18x + 81 = 0.
  4. Factor the quadratic equation: Factor the quadratic equation: (x−9)2=0(x - 9)^2 = 0.
  5. Solve for x: Solve for x: x=9x = 9.
  6. Substitute xx back into first equation: Substitute xx back into the first equation to find yy: y=50(9)−32y = 50(9) - 32.
  7. Calculate y: Calculate y: y=450−32y = 450 - 32.
  8. Simplify yy: Simplify yy: y=418y = 418.
  9. Write solution as coordinate point: Write the solution as a coordinate point: (9,418)(9, 418).

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