The Equations 6x - 9y = 5 And 5x - 6y = 3 Have - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XMathematicsComparing the Ratios of Coefficients of a Linear EquationQuestionThe equations 6x−9y=5 and 5x−6y=3 have
  1. No solution
  2. Unique solution
  3. Two solutions
  4. Infinite solutions
ANo solutionBUnique solutionCTwo solutionsDInfinite solutionsOpen in AppSolutionVerified by Toppr

The given pair of linear equations is6x−9y=5;5x−6y=3Here a1=6,b1=−9,c1=−5and a2=5,b2=−6,c2=−3∴a1a2=65,b1b2=−9−6=32,c1c2=−5−3Hence a1a2≠b1b2Thus the lines represented by given pair of linear equations intersect and hence have a unique solution.

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