Question

write four solutions for the following equations: 2x+y=7
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Answer 1

Answer:

(i) 2x + y = 7

⇒ y = 7 - 2x

→ Put x = 0,

y = 7 - 2 × 0 ⇒ y = 7

(0, 7) is the solution.

→ Now, put x = 1

y = 7 - 2 × 1 ⇒ y = 5

(1, 5) is the solution.  

→ Now, put x = 2

y = 7 - 2 × 2 ⇒ y = 3

(2, 3) is the solution.  

→ Now, put x = -1

y = 7 - 2 × -1 ⇒ y = 9

(-1, 9) is the solution.

The four solutions of the equation 2x + y = 7 are (0, 7), (1, 5), (2, 3) and (-1, 9).

(ii) πx + y = 9

⇒ y = 9 - πx  

→ Put x = 0,

y = 9 - π×0 ⇒ y = 9

(0, 9) is the solution.

→ Now, put x = 1

y = 9 - π×1 ⇒ y = 9-π

(1, 9-π) is the solution.  

→ Now, put x = 2

y = 9 - π×2 ⇒ y = 9-2π

(2, 9-2π) is the solution.  

→ Now, put x = -1

y = 9 - π× -1 ⇒ y = 9+π

(-1, 9+π) is the solution.

The four solutions of the equation πx + y = 9 are (0, 9), (1, 9-π), (2, 9-2π) and (-1, 9+π).

(iii) x = 4y

→ Put x = 0,

0 = 4y ⇒ y = 0

(0, 0) is the solution.

→ Now, put x = 1

1 = 4y ⇒ y = 1/4

(1, 1/4) is the solution.  

→ Now, put x = 4

4 = 4y ⇒ y = 1

(4, 1) is the solution.  

→ Now, put x = 8

8 = 4y ⇒ y = 2

(8, 2) is the solution.

The four solutions of the equation πx + y = 9 are (0, 0), (1, 1/4), (4, 1) and (8, 2)

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Answer 2

Step-by-step explanation:

2x+y=7

y=7-2x

*put x =0

y=7

*put x=1

y=5

*put x=2

y=3

*put x=3

y=1

Solutions:-(0,7) ,(1,5) ,(2,3) ,(3,1)