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


expressing the equations in terms of one variable

⇒ 4x – 4y = 3y – 3
⇒ 4x = 7y – 3
………[1]
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⇒ 4x – 5y = 7x – 49
⇒ 3x = 49 – 5y
………[2]
by comparing eq. [1] and eq. [2]
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⇒ 21y – 9 = 196 – 20y
⇒ 41y = 205
⇒ y = 5 ………[3]
by using [3] in [1]
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