Q2 of 186 Page 4

Solve the following pair of equations by cross - multiplication method.


ax + by = a2 – b2


ax + by =


Given, pair of equations is



ax + by = a2 –b2⇒ ax + by – (a2 –b2 ) = 0


By cross - multiplication method, we have







On taking I and III ratio, we get



⇒ x = a


On taking II and III ratio, we get



⇒ y = b


More from this chapter

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2

Solve the following pair of equations by cross - multiplication method.



 2

Solve the following pair of equations by cross - multiplication method.

2ax + 3by = a + 2b


3ax + 2by = 2a + b

 3

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

a(x + y) + b(x – y) = a2 – ab + b2


a(x + y) – b(x – y) = a2 + ab + b2

 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 – 3y – 7 = 0


3x – 3y – 15 = 0