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If the system of linear equations : \beginaligned & x+y+2 z=6 \\ & 2 x+3 y+\mathrmaz=\mathrma+1 \\ & -x-3 y+\mathrmb z=2 \mathrm~b \endaligned where a, b \in \mathbfR, has infinitely many solutions, then 7 a+3 b is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.