write four solution for the equation:-
Answers
Step-by-step explanation:
) 2x + y = 7 (ii) πx + y = 9 (iii) x = 4y
Sol: (i) 2x + y = 7
When x = 0, 2(0) + y = 7
⇒ 0 + y = 7
⇒ y =7
∴ Solution is (0, 7).
When x = 1, 2(1) + y = 7
⇒ y = 7 – 2
⇒ y = 5
∴ Solution is (1, 5).
When x = 2, 2(2) + y = 7
⇒ y = 7 – 4
⇒ y = 3
∴ Solution is (2, 3).
When x = 3, 2(3) + y = 7
⇒ y = 7 – 6
⇒ y = 1
∴ Solution is (3, 1).
(ii) πx + y = 9
When x = 0 π(0) + y = 9
⇒ y = 9 – 0
⇒ y = 9
∴ Solution is (0, 9).
When × = 1, π(1) + y = 9
⇒ y = 9 – π
∴ Solution is {1, (9 – π)}
When x = 2, π(2) + y = 9
⇒ y = 9 – 2π
∴ Solution is {2, (9 – 2π)}
When × = –1, π(–1) + y = 9
⇒ – π + y = 9
⇒ y = 9 + π
∴ Solution is {–1, (9 + π)}
(iii) x = 4y
When x = 0, 4y = 0
⇒ y = 0
∴ Solution is (0, 0).
When x = 1, 4y = 1
⇒ y = 0
∴ Solution is (0, 0)
When x = 4, 4y = 4
⇒