system of three linear equations with some artifice

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It is a basic system of equations, but I had never seen it this way, I have applied known resolution methods but I don't see how to get to what they are asking for, can you help me?

says: By solving the following system of equations with three variables x,y,z

$$-2x +3y +3z=a$$ $$ x-4y -2z=b$$ $$ 5x -y -3z=c$$

it was obtained that $$xm=16$$ $$yn=48$$ $$zr=64$$

Calculate a+b+c

I come to the following solutions

$$x = (5 a + 3 b + 3 c)/8$$ $$y=(-7 a - 9 b - c)/16$$ $$z=(19 a + 13 b + 5 c)/16$$

but I get there, I don't know how to continue