Q. 14.0( 10 Votes )

# Write two solutions for each of the following equations:

(i) 3*x*+4*y* =7

(ii) *x*=6*y*

(iii) *x*+π*y* =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*+π*y* =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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