Q13 of 102 Page 49

Find the solution of the following simultaneous equations:

0.5x + 0.6y = 2.3; 0.2x + 0.7y = 2.3

0.5x + 0.6y = 2.3 …equation (i)


0.2x + 0.7y = 2.3 …equation (ii)


Equating the above two equations


0.5x + 0.6y = 0.2x + 0.7y


⇒ 0.3x = 0.1y


⇒ 3x = y


Putting the value of y in equation (i)


0.5x + 1.8x = 2.3


2.3x = 2.3


⇒ x = 1


⇒y = 3x


⇒y = 3


Answer: x = 1, y = 3


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