Q. 14.0( 10 Votes )
Write two solutions for each of the following equations:
(i) 3x+4y =7
(ii) x=6y
(iii) x+πy =4
(iv) 
x-y =4
Answer :
(i) 3x + 4y = 7
At, x = 1
3 + 4y = 7
⇒ y = 1
Thus, x = 1, y = 1 is a solution
At, x = 0,
0 + 4y = 7
⇒ y = 7/4
Thus, x = 0, y = 7/4 is a solution.
(ii) x = 6y
At, y = 0
⇒ x = 0
Thus, x = 0, y = 0 is a solution.
At y = 1,
⇒ x = 6
Thus, x = 6, y = 1 is a solution
(iii) x+πy =4
At x = 0,
πy = 4
⇒ y = 4/π
Thus, x = 0, y = 4/π is a solution
At y = 0,
⇒ x + 0 = 4
⇒ x = 4
Thus, x = 4, y = 0 is a solution
(iv) 
x-y =4
At x = 0,
⇒ 0 – y = 4
⇒ y = -4
Thus, x = 0, y = 4 is a solution
At x = 3,
⇒ 2 – y = 4
⇒ y = -2
Thus, x = 3, y = -2 is a solution
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