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Solve the system of equations.\newlinex2+y2=10x^2 + y^2 = 10\newliney=3x+10y = 3x + 10\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)

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Q. Solve the system of equations.\newlinex2+y2=10x^2 + y^2 = 10\newliney=3x+10y = 3x + 10\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)
  1. Substitute yy: Substitute yy from the second equation into the first equation.x2+(3x+10)2=10x^2 + (3x + 10)^2 = 10
  2. Expand and simplify: Expand the squared term and simplify the equation. x2+9x2+60x+100=10x^2 + 9x^2 + 60x + 100 = 10
  3. Combine like terms: Combine like terms. 10x2+60x+100=1010x^2 + 60x + 100 = 10
  4. Set equation to zero: Subtract 1010 from both sides to set the equation to zero.\newline10x2+60x+90=010x^2 + 60x + 90 = 0
  5. Divide and simplify: Divide the entire equation by 1010 to simplify.\newlinex2+6x+9=0x^2 + 6x + 9 = 0
  6. Factor the equation: Factor the quadratic equation.\newline(x+3)(x+3)=0(x + 3)(x + 3) = 0
  7. Solve for x: Set each factor equal to zero and solve for x.\newlinex+3=0x + 3 = 0\newlinex=−3x = -3
  8. Substitute xx back: Substitute xx back into the second equation to find yy.y=3(−3)+10y = 3(-3) + 10y=−9+10y = -9 + 10y=1y = 1
  9. Write coordinates: Write the coordinates in exact form.\newline(−3,1)(-3, 1)

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