Find four solutions for the following equation: 2(x+3)-3(y+1)=0
2(x+3)-3(y+1) = 0
Take x = 1,
2(1+3)-3(y+1) = 0 ⇒ 2× 4-3y-3 = 0 ⇒ -3y = 0-8+3 = -5 ⇒ y =
∴ y = 
Take x = 2,
2(2+3)-3(y+1) = 0 Þ 2× 5-3y-3 = 0 ⇒ 10-3y-3 = 0 ⇒ -3y = -10+3
= -7 ∴y =
=
Take x = 3,
2(3+3)-3(y+1) = 0 ⇒ 2× 6-3y-3 = 0
Þ -3y=-12+3 =-9 ⇒ y =
= 3
Take x = 4,
2(4+3)-3(y+1) = 0 ⇒ 2× 7-3y-3 = 0 ⇒ -3y = -14+3
= -11 ∴ y =
=
∴ The four solutions of the given equation are x = 1, y =
; x = 2, y =
, x = 3, y = 3 and x = 4, y =
.
Take x = 1,
2(1+3)-3(y+1) = 0 ⇒ 2× 4-3y-3 = 0 ⇒ -3y = 0-8+3 = -5 ⇒ y =
Take x = 2,
2(2+3)-3(y+1) = 0 Þ 2× 5-3y-3 = 0 ⇒ 10-3y-3 = 0 ⇒ -3y = -10+3
= -7 ∴y =
Take x = 3,
2(3+3)-3(y+1) = 0 ⇒ 2× 6-3y-3 = 0
Þ -3y=-12+3 =-9 ⇒ y =
= 3
Take x = 4,
2(4+3)-3(y+1) = 0 ⇒ 2× 7-3y-3 = 0 ⇒ -3y = -14+3
= -11 ∴ y =
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