Write two solutions for each of the following equations : (i) 3x + 4y = 7 (ii) x = 6y (iii) x + πy = 4 (iv) 2/3(x - y) = 4 ​

Question

Write two solutions for each of the following equations : 

(i) 3x + 4y = 7 

(ii) x = 6y 

(iii) x + πy = 4 

(iv) \(\frac{2}{3}\)x - y = 4

Answer 1

(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) \(\frac{2}{3}\)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