Determine the nature of solutions of the system and .

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Determine the nature of solutions of the system 13x+12y=2\displaystyle \frac{1}{3}x + \frac{1}{2}y = 2 and 2x+3y=122x + 3y = 12. (a) Exactly one solution\text{Exactly one solution} (b) No solution\text{No solution} (c) Infinitely many solutions\text{Infinitely many solutions} (d) Cannot be classified without graphing\text{Cannot be classified without graphing}

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