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Solve the system of equations.\newlinex2+y2=360x^2 + y^2 = 360\newliney=3xy = 3x\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

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Q. Solve the system of equations.\newlinex2+y2=360x^2 + y^2 = 360\newliney=3xy = 3x\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)
  1. Substitute y=3xy = 3x: Substitute y=3xy = 3x into x2+y2=360x^2 + y^2 = 360.\newlinex2+(3x)2=360x^2 + (3x)^2 = 360\newlinex2+9x2=360x^2 + 9x^2 = 360\newline10x2=36010x^2 = 360
  2. Divide by 1010: Divide both sides by 1010 to solve for x2x^2.\newlinex2=36x^2 = 36
  3. Take square root: Take the square root of both sides to find xx.x=±6x = \pm 6
  4. Substitute xx back: Substitute xx back into y=3xy = 3x to find yy.\newlineFor x=6x = 6: y=3(6)=18y = 3(6) = 18\newlineFor x=−6x = -6: y=3(−6)=−18y = 3(-6) = -18
  5. Write coordinates: Write the coordinates in exact form.\newlineFirst Coordinate: (6,18)(6, 18)\newlineSecond Coordinate: (−6,−18)(-6, -18)

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