Solve the system of equations. y = -17x - 36 y = x^2 + x + 9 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = -17x - 36 y = x^2 + x + 9    Write the coordinates in exact form. Simplify all fractions and radicals.  (______,______) (______,______)

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Substitute y into second equation: Substitute y from the first equation into the second equation to solve for x. This gives us the equation -17x - 36 = x^2 + x + 9.Rearrange and simplify equation: Rearrange the equation to set it to zero: x^2 + x + 9 + 17x + 36 = 0, which simplifies to x^2 + 18x + 45 = 0.Factor quadratic equation: Factor the quadratic equation: (x + 3)(x + 15) = 0.Solve for x: Solve for x by setting each factor equal to zero: x + 3 = 0 or x + 15 = 0.Find x solutions: Find the two solutions for x: x = -3 or x = -15.Substitute x = -3 into first equation: Substitute x = -3 into the first equation y = -17x - 36 to find the corresponding y value: y = -17(-3) - 36.Calculate y for x = -3: Calculate the y value for x = -3: y = 51 - 36, which simplifies to y = 15.Substitute x = -15 into first equation: Substitute x = -15 into the first equation y = -17x - 36 to find the corresponding y value: y = -17(-15) - 36.Calculate y for x = -15: Calculate the y value for x = -15: y = 255 - 36, which simplifies to y = 219.Write solutions as coordinate points: Write the solutions as coordinate points. The coordinate points are (-3, 15) and (-15, 219).

Solve the system of equations. $\newline$ $y = -17x - 36$ $\newline$ $y = x^2 + x + 9$ $\newline$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=−17x−36y = -17x - 36y=−17x−36\newliney=x2+x+9y = x^2 + x + 9y=x2+x+9\newline\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = -17x - 36$ $\newline$ $y = x^2 + x + 9$ $\newline$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)