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Linear AlgebraMediumRow Reduction & Rank

Row Reduction & Rank · Medium problem

A surveyor takes three measurements of two unknown distances x,yx,y: x+y=5x+y=5, 2x−y=12x-y=1, and a third, redundant measurement 3x+y=b3x+y=b. For what value of bb is the third measurement consistent with the first two?