Solve the system of equations. y = x^2 - 36x - 29 y = -21x - 43 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = x^2 - 36x - 29 y = -21x - 43    Write the coordinates in exact form. Simplify all fractions and radicals.  (______,______) (______,______)

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Set Equations Equal: We have the following system of equations: y = x^2 - 36x - 29 y = -21x - 43 To find the solution, we will set the two equations equal to each other since they both equal y. x^2 - 36x - 29 = -21x - 43Rearrange and Form Quadratic Equation: Rearrange the equation to bring all terms to one side and set it equal to zero to form a standard quadratic equation. x^2 - 36x - 29 + 21x + 43 = 0 x^2 - 15x + 14 = 0Factor Quadratic Equation: Factor the quadratic equation. We are looking for two numbers that multiply to 14 and add up to -15. These numbers are -1 and -14. x^2 - 15x + 14 = (x - 1)(x - 14)Solve for x: Solve for x by setting each factor equal to zero. (x - 1) = 0 or (x - 14) = 0 This gives us two solutions for x: x = 1 and x = 14Find Corresponding y-values: Find the corresponding y-values for each x-value by substituting back into either of the original equations. We'll use y = -21x - 43. For x = 1: y = -21(1) - 43 y = -21 - 43 y = -64 For x = 14: y = -21(14) - 43 y = -294 - 43 y = -337Write Coordinates: Write the coordinates in exact form. The solutions to the system of equations are the points where the two graphs intersect, which are the x-values we found and their corresponding y-values. First Coordinate: (1, -64) Second Coordinate: (14, -337)

Solve the system of equations. $\newline$ $y = x^2 - 36x - 29$ $\newline$ $y = -21x - 43$ $\newline$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,) $\newline$

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Solve the system of equations.\newliney=x2−36x−29y = x^2 - 36x - 29y=x2−36x−29\newliney=−21x−43y = -21x - 43y=−21x−43\newline\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)\newline

Solve the system of equations. $\newline$ $y = x^2 - 36x - 29$ $\newline$ $y = -21x - 43$ $\newline$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,) $\newline$