Solve the system of equations. 13x−y=90 y=x^2-x-42 enter your answers in the boxes.

Lets solve the system of equations step by step.
equation (1)
equation (2)

Step 1. Solve for  in equation (1)


equation (3)

Step 2. Replace equation (3) in equation (2) and solve for :




equation (4)
equation (5)

Step 3. Replace equation (4) and equation (5) in equation (3)
(4) in (3)




(5) in (3)




We can conclude that the solutions of our system of equations are (6,-12) and (8,14)