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


expressing the equations in terms of one variable

⇒ x + y = 2xy
⇒ x(2y - 1) = y
………[1]

⇒ x – y = xy
⇒ x(1 – y) = y
………[2]
by comparing eq. [1] and eq. [2]
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⇒ 2y – 1 = 1 – y
⇒ 3y = 2
………[3]
by using [3] in [1]
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