Let us solve the following simultaneous equations by the method of comparison and check whether the solutions satisfy the equations.
4x – 3y = 18
4y – 5x = –7
4x – 3y = 18 ………[1]
4y – 5x = - 7 ………[2]
by eq. [1]
4x – 3y = 18
⇒ 4x = 18 + 3y
………[3]
by eq. [2]
4y – 5x = - 7
⇒ 5x = 4y + 7
………[4]
on comparing eq. [3] and eq. [4]
⇒ 90 + 15y = 28 + 16y
⇒ y = 62 ………[5]
by using eq. [5] in eq. [3]
………[6]
by eq. [5] and [6]
, 
verifying the result by eq. [1]
L.H.S
verifying the result by eq. [2]
L.H.S
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