Question

Write four solutions for each of the following equations:
(i) 2x + y = 7
(ii) πx + y = 9
(iii) x = 4y
Solution:​

Answer 1

Question :-

Write four solutions for each of the following equations:

(i) 2x + y = 7

(ii) πx + y = 9

(iii) x = 4y

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(i) 2x + y = 7

When x = 0

2(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 =7y = 7 – 4 ⇒ y = 3

∴ Solution is (2, 3)

When x = 3

2(3) + y = 7y= 7 – 6 ⇒ y = 1

∴ Solution is (3, 1).

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(ii) πx + y = 9

When x = 0,

π(0) + y = 9 ⇒ y = 9 – 0 ⇒ y = 9

∴ Solution is (0, 9)

When x = 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 x = -1,

π(-1) + y = 9 ⇒ y = 9 + π

∴ Solution is (-1, (9 + π))

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(iii) x = 4y

When x = 0,

4y = 1 ⇒ y = 0

∴ Solution is (0, 0)

When x = 1,

4y = 1 ⇒ y = 14

∴ Solution is (1,14 )

When x = 4,

4y = 4⇒ y = 1

∴ Solution is (4, 1)

When x = 4,

4y = 4 ⇒ y = -1

∴ Solution is (-4, -1)

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