Q4 of 186 Page 4

Which of the following pair of linear equations has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it by using cross - multiplication method:

x + y = 2


2x + 2y = 6

Given pair of linear equations


x + y = 2


2x + 2y = 6


⇒ x + y – 3 = 0


As we can see that a1 = 1, b1 = 1 and c1 = – 2


and a2 = 1, b2 = 1 and c2 = – 3




∴ Given pair of equations has no solution


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Which of the following pair of linear equations has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it by using cross - multiplication method:

x + y = 2


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Solve the following system of linear equations by cross - multiplication method.



[Hint: Let u = and v = ]

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Solve the following system of linear equations by cross - multiplication method.

ax – ay = 2


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[Hint: Let u = and v = ]