Q36 of 70 Page 269

Find two solutions for each of the following:

(i) 3x + 4y = 12 (ii) 3x + 5y = 0


(iii) 4y + 5 = 0

(i) 3x + 4y = 12


⇒ 4y = 12 – 3x



Let x = 4,





⇒ y = 0


Therefore, (4, 0) is a solution


Let x = – 4,





⇒ y = 6


Therefore, ( – 4, 6) is a solution


(ii) 3x + 5y = 0


⇒ 5y = 0 – 3x



Let x = 5,





⇒ y = – 3


Therefore, (5, – 3) is a solution


Let x = – 5,





⇒ y = 3


Therefore, ( – 5, 3) is a solution


(iii) 4y + 5 = 0


⇒ 4y = 0 – 5



Let x = 1,



Therefore, is a solution.


Let x = – 1,



Therefore, is a solution.


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34

For the equation 6x – 5y = 8, verify that

(i) (3, 2) is a solution (ii) (2, 3) is not a solution

 35

If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

 37

Study the graph given below. Choose the equation whose graph is given:

(i) y = x (ii) y = 2x


(iii) y = 2x + 1 (iv) x + y = 0


 38

Draw the graph of the equation 3x + 5y – 15 = 0 and show that x = 1, y = 2 is not a solution of the given equation.