Q5 of 92 Page 71

Let us solve the following simultaneous equations in two variables by the method of comparison:

2x – 3y = 8


expressing the equations in terms of one variable

2x – 3y = 8


………[1]



⇒ 3x + 3y = 7x – 7y


⇒ 4x = 10y


………[2]


by comparing eq. [1] and eq. [2]



⇒ 8 + 3y = 5y


⇒ 2y = 8


⇒ y = 4 ………[3]


by using [3] in [1]




⇒ x = 10


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