AB and CD intersect at Q and R is in the interior of angle AQC. If the measure of angle DQA = 2x-y, the measure of angle AQR = x and the measure of angle RQC = y, find the values of x and y so that AB is perpendicular to CD.

At a local museum, the total price for one adult and one child is $11. mrs. smith paid for herself and her three children. she spent $19. record the system of equations to be solved and then find the price of an adult and child ticket using either elimination or substitution.