two dimensional inelastic problem....please help?

Question

At the intersection of Texas Avenue and University Drive, a yellow, subcompact car with mass 950 kg traveling east on University collides with a maroon pickup truck with mass 1900 kg that is traveling north on Texas and ran a red light . The two vehicles stick together as a result of the collision and, after the collision, the wreckage is sliding at 16.0 m/s in the direction 24 degrees east of north. The collision occurs during a heavy rainstorm; you can ignore friction forces between the vehicles and the wet road.

a)Calculate the speed of the car before the collision.
b)Calculate the speed of the truck before the collision.

i'm not sure how to do the problem if i have two variables and one equation.....please help....

this is the equation i got......
950 Vc +1900 Vt = 45600
where Vc=initial velovity of car
and Vt = initial velocity of truck

Answer 1

Find their combined momentum after the crash. Find the components of momentum in the North and East direction (using sine and cosine). The component in the East direction will be the orginal momentum of the car. The North component will be the orginal momentum of the pickup.

Since the car was traveling East it contributes no momentum in the North direction. Since the pickup was traveling North it contributes no momentum in the East direction.