Write four solutions for each of the following equations:

(i) 2x + y = 7


(ii)


(iii) x = 4y


(i) 2x + y = 7

y = 7 – 2x


Put x = 0,


y = 7 – 2 * 0


y = 7


(0, 7) is the solution of the equation


Now,


Put x = 1


y = 7 – 2 * 1


y = 5


(1, 5) is the solution of the equation


Now,


Put x = 2


y = 7 – 2 * 2


y = 3


(2, 3) is the solution of the equation


Now,


Put x = -1


y = 7 – 2 * - 1


y = 9


(-1, 9) is the solution of the equation


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


Now,


Put x = 0


y = 9 – π * 0


y = 9


(0, 9) is the solution of the equation


Now,


Put x = 1


y = 9 – π * 1


y = 9 - π


(1, 9 - π) is the solution of the equation


Now,


Put x = 2


y = 9 – π * 2


y = 9 – 2 π


(2, 9 - 2 π) is the solution of the equation


Now,


Put x = -1


y = 9 – π * 1


y = 9 + π


(-1, 9 + π) is the solution of the equation


The four solutions of the equation πx + y = 9 are:


(0, 9),


(1, 9 – π),


(2, 9 - 2 π)


and (-1, 9 + π)


(iii) x = 4y


Now,


Put x = 0


0 = 4y


y = 0


(0, 0) is the solution of the equation


Now,


put x = 1


1 = 4y


y = 1/4


(1, 1/4) is the solution of the equation


Now,


Put x = 4


4 = 4y


y = 1


(4, 1) is the solution of the equation


Now,


Put x = 8


8 = 4y


y = 2


(8, 2) is the solution of the equation


The four solutions of the equation πx + y = 9 are:


(0, 0),


(1, 1/4),


(4, 1),


and (8, 2)


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