Solve the system of equations. y = -13x + 39 y = x^2 - 19x - 1 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = -13x + 39 y = x^2 - 19x - 1    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 = -13x + 39 y = x^2 - 19x - 1 To find the solution, we need to set the two equations equal to each other because they both equal y. -13x + 39 = x^2 - 19x - 1Rearrange to Standard Form: Rearrange the equation to get a standard form of a quadratic equation by moving all terms to one side. x^2 - 19x - 1 + 13x - 39 = 0 x^2 - 6x - 40 = 0Factor Quadratic Equation: Factor the quadratic equation to find the values of x. We are looking for two numbers that multiply to -40 and add up to -6. These numbers are -10 and 4. (x - 10)(x + 4) = 0Solve for x: Solve for x by setting each factor equal to zero. x - 10 = 0 or x + 4 = 0 This gives us two solutions for x: x = 10 or x = -4Find Corresponding y-Values: Find the corresponding y-values for each x-value by substituting back into one of the original equations. We can use y = -13x + 39. For x = 10: y = -13(10) + 39 y = -130 + 39 y = -91 For x = -4: y = -13(-4) + 39 y = 52 + 39 y = 91Write 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: (10, -91) Second Coordinate: (-4, 91)

Solve the system of equations. $\newline$ $y = -13x + 39$ $\newline$ $y = x^2 - 19x - 1$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=−13x+39y = -13x + 39y=−13x+39\newliney=x2−19x−1y = x^2 - 19x - 1y=x2−19x−1\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = -13x + 39$ $\newline$ $y = x^2 - 19x - 1$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)