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Solve the system of equations.\newliney=46x−42y = 46x - 42\newliney=x2+34x−6y = x^2 + 34x - 6\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)

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Q. Solve the system of equations.\newliney=46x−42y = 46x - 42\newliney=x2+34x−6y = x^2 + 34x - 6\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)
  1. Set Equations Equal: Since both equations are equal to yy, set them equal to each other to find xx.46x−42=x2+34x−646x - 42 = x^2 + 34x - 6
  2. Rearrange and Solve for x: Rearrange the equation to set it to zero and solve for x.\newlinex2+34x−46x+6+42=0x^2 + 34x - 46x + 6 + 42 = 0\newlinex2−12x+48=0x^2 - 12x + 48 = 0
  3. Factor the Quadratic Equation: Factor the quadratic equation.\newline(x−6)(x−6)=0(x - 6)(x - 6) = 0
  4. Solve for x: Solve for x.\newlinex−6=0x - 6 = 0\newlinex=6x = 6
  5. Substitute xx into Equation: Substitute x=6x = 6 into one of the original equations to solve for yy.y=46(6)−42y = 46(6) - 42y=276−42y = 276 - 42y=234y = 234
  6. Write Coordinate Point: Write the solution as a coordinate point.\newlineThe coordinate point is (6,234)(6, 234).

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