Q5 of 186 Page 4

Solve the following system of equations by elimination method:

x + y = 2xy


x – y = 6xy

Given pair of linear equations is


x + y = 2xy …(i)


And x – y = 6xy …(ii)


On adding Eq. (i) and Eq. (ii), we get


x + y + x – y = 2xy + 6xy


⇒ 2x = 8xy




On putting in Eq. (ii), we get




⇒ 4x – 1 = 6x ⇒ – 1 = 6x – 4x


⇒ – 1 = 2x



On putting x = 0 , we get y = 0


Hence, and , which is the required solution.


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