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Solve the system of equations.\newliney=49x+33y = 49x + 33\newliney=x2+36x−15y = x^2 + 36x - 15\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

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Q. Solve the system of equations.\newliney=49x+33y = 49x + 33\newliney=x2+36x−15y = x^2 + 36x - 15\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)
  1. Substitute y Equation: Substitute yy from the first equation into the second equation: x2+36x−15=49x+33x^2 + 36x - 15 = 49x + 33.
  2. Rearrange and Set to 00: Rearrange the equation to set it to 00: x2+36x−49x−15−33=0x^2 + 36x - 49x - 15 - 33 = 0.
  3. Simplify Equation: Simplify the equation: x2−13x−48=0x^2 - 13x - 48 = 0.
  4. Factor Quadratic Equation: Factor the quadratic equation: (x−16)(x+3)=0(x - 16)(x + 3) = 0.
  5. Solve for x: Solve for x: x=16x = 16 or x=−3x = -3.
  6. Find yy for x=16x=16: Substitute x=16x = 16 into the first equation to find yy: y=49(16)+33y = 49(16) + 33.
  7. Calculate yy for x=16x=16: Calculate yy when x=16x = 16: y=784+33y = 784 + 33.
  8. Find yy for x=−3x=-3: Simplify to find yy: y=817y = 817.
  9. Calculate yy for x=−3x=-3: Substitute x=−3x = -3 into the first equation to find yy: y=49(−3)+33y = 49(-3) + 33.
  10. Calculate yy for x=−3x=-3: Substitute x=−3x = -3 into the first equation to find yy: y=49(−3)+33y = 49(-3) + 33.Calculate yy when x=−3x = -3: y=−147+33y = -147 + 33.
  11. Calculate yy for x=−3x=-3: Substitute x=−3x = -3 into the first equation to find yy: y=49(−3)+33y = 49(-3) + 33.Calculate yy when x=−3x = -3: y=−147+33y = -147 + 33.Simplify to find yy: y=−114y = -114.

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