Solve the system of equations. \[ \begin{array}{l}y=-21 x-35 \\ y=x^{2}-11 x-10 \\ \text { Write the coordinates in exact form. Simplify all fractions and ras }\end{array} \]

To solve the system of equations, we can equate the two expressions for \(y\): 1. Set the two equations equal to each other: \[ -21x - 35 = x^2 - 11x - 10 \] 2. Rearranging the equation gives: \[ x^2 - 11x + 21x - 10 + 35 = 0 \] \[ x^2 + 10x + 25 = 0 \] 3. This quadratic equation can be factored as: \[ (x + 5)(x + 5) = 0 \] or \[ (x + 5)^2 = 0 \] 4. Thus, we find: \[ x = -5 \] 5. Now substitute \(x = -5\) back into one of the original equations to find \(y\): \[ y = -21(-5) - 35 \] \[ y = 105 - 35 = 70 \] The coordinates of the solution in exact form are: \[ \boxed{(-5, 70)} \]