Solve the system of equations. y = -23x + 13 y = x^2 - 13x - 26 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = -23x + 13 y = x^2 - 13x - 26    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 = -23x + 13 y = x^2 - 13x - 26 To find the solution, we will set the two equations equal to each other since they both equal y. -23x + 13 = x^2 - 13x - 26Rearrange 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 - 13x - 26 + 23x - 13 = 0 x^2 + 10x - 39 = 0Factor Quadratic Equation: Factor the quadratic equation to find the values of x. We are looking for two numbers that multiply to -39 and add up to 10. These numbers are 13 and -3. (x + 13)(x - 3) = 0Solve for x: Solve for x by setting each factor equal to zero. x + 13 = 0 or x - 3 = 0 x = -13 or x = 3Find y-values: Find the corresponding y-values for each x-value by substituting back into one of the original equations. We can use y = -23x + 13. For x = -13: y = -23(-13) + 13 y = 299 + 13 y = 312Find y-value for x=3: Find the y-value for x = 3: y = -23(3) + 13 y = -69 + 13 y = -56Write Coordinates: Write the coordinates in exact form. The solutions to the system of equations are the points where the two equations intersect. First Coordinate: (-13, 312) Second Coordinate: (3, -56)

Solve the system of equations. $\newline$ $y = -23x + 13$ $\newline$ $y = x^2 - 13x - 26$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=−23x+13y = -23x + 13y=−23x+13\newliney=x2−13x−26y = x^2 - 13x - 26y=x2−13x−26\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = -23x + 13$ $\newline$ $y = x^2 - 13x - 26$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)