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Write four solutions for each of the following equations: (i)

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

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Write four solutions for each of the following equations:
(i)

2 x + y = 7

(ii)

π x + y = 9

(iii)

x = 4 y

14 mins ago

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14 mins ago

Text solutionVerified

(i)

2 x + y = 7

y = 7-2 x

When

x = 0

, then

y = 7-2 \times 0

y = 7-0

y = 7

When

x = 1

then

y = 7-2 \times 1

y = 7-2

y = 5

When

x = 2

then

y = 7-2 \times 2

y = 7 - 4

y = 3

When

x = 3

then

y = 7 - 2 \times 3

y = 7 - 6

y = 1

Hence, four solutions for equation

2 x + y = 7

are

(0, 7), (1, 5), (2, 3), (3, 1)

(ii)

π x + y = 9

y = 9 - π x

When

x = - 1

then

y = 9 - π \times - 1

y = 9 + π

When

x = 0

then

y = 9 - π \times 0

y = 9

When

x = 1

then

y = 9 - π \times 1

y = 9 - π

When

x = 2

then

y = 9 - π \times 2

y = 9 - 2 π

Hence, four solution for equation

π x + y = 9

are

(- 1, 9 + π), (0, 9), (1, 9 - π), (2, 9 - 2 π)

(iii)

x = 4 y

When

y = 0

, then

x = 4 \times 0

x = 0

When

y = 1

then

x = 4 \times 1

x = 4

When

y = - 1

then

x = 4 \times - 1

x = - 4

When

y = 2

then

x = 4 \times 2

x = 8

Hence, four solutions for equation

x = 4 y

are

(0, 0), (4, 1), (- 4, - 1), (8, 2) .

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Question Text	Write four solutions for each of the following equations: (i) $2 x + y = 7$ (ii) $π x + y = 9$ (iii) $x = 4 y$
Answer Type	Text solution:1
Upvotes	151

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

Text solutionVerified

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