Find four solutions for the following equation: 2(x-1)+3y = 4
2(x-1)+3y = 4
Take x = 1,
2(1-1)+3y = 4 ⇒ 0+3y = 4 ⇒ 3y = 4 ∴ y =
Take x = 2,
2(2-1)+3y = 4 ⇒ 2+3y = 4 ⇒ 3y = 4-2
= 2 ∴ y =
Take x = 3,
2(3-1)+3y = 4
⇒ 4+3y = 4 ⇒ 3y = 4-4
= 0 ∴ y = 0
Take x = 4,
2(4-1)+3y = 4 ⇒ 6+3y = 4 Þ 3y = 4-6
= -2 ⇒ y =
∴ The four solutions of the given equation are x = 1, y =
; x = 2, y =
, x = 3, y = 0 and x = 4, y =
.
Take x = 1,
2(1-1)+3y = 4 ⇒ 0+3y = 4 ⇒ 3y = 4 ∴ y =
Take x = 2,
2(2-1)+3y = 4 ⇒ 2+3y = 4 ⇒ 3y = 4-2
= 2 ∴ y =
Take x = 3,
2(3-1)+3y = 4
⇒ 4+3y = 4 ⇒ 3y = 4-4
= 0 ∴ y = 0
Take x = 4,
2(4-1)+3y = 4 ⇒ 6+3y = 4 Þ 3y = 4-6
= -2 ⇒ y =
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.