Help me with this question please

3. [8 marks: 3,3,2] The picture shows known 200 X3 Dx 150 and unknown flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. B E. 25 200 NOTE: In contrast to the example we did in $175 class, the xi's are not required to be 2 0; negative flows make sense. For instance, a value X3 = -20 would mean a flow of 20 in the opposite direction to the arrow, i.e from D to A. a) Set up a linear system for the unknown flow rates. b) Given that the augmented matrix of the linear system has RREF 0 0 1 0 -1 1507 O 1 0 -1 175 O 1 50 1 200 O O O O 0 0 0 solve the system. c) Find all the other flow rates and directions of flow if x4 = 50 and X6 = 0