Technician arrived and customer explained that both sinks had been backing up after extended use of water. Technician offered options and was given authorization to snake the line. Tech snaked out the line via pistol snake, working snake back-and-forth with multiple passes. Upon completion of snaking, sink traps were cleaned. Once Drain system was reassembled it was flushed with hot water numerous times flushing any debris left in the lines out. Then again cold water was flushed through lines ensuring that no leaks were present.