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


expressing the equations in terms of one variable

⇒ 6y + 6x = 5xy
⇒ x(5y - 6) = 6y
………[1]

⇒ 6y – 6x = xy
⇒ x(y + 6) = 6y
………[2]
by comparing eq. [1] and eq. [2]
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⇒ y + 6 = 5y – 6
⇒ 4y = 12
⇒ y = 3 ………[3]
by using [3] in [1]
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