Question

Please solve ASAP
Are the following pair of equations (3/5)x-y=1/2 & (1/5)x - 3y=1/6 consistent? Justify your answer.

Answer 1

Answer:

Let a1x+b1y+c1=3x+2y−5  and  a2x+b2y+c2=2x−3y−7

So, here a1=3; b1=2; c1=−5; a2=2; b2=−3; c2=−7

⇒a2a1=23

⇒b2b1=3−2

⇒a2a1=b2b1

Hence the system of equations has unique solution.

Thus the pair of equations are consistent

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