Solution :

Question 1 :-

Given equation : 2x + πy = 4

If y = 0 , then

=> 2x + πy = 4

=> 2x + π•0 = 4

=> 2x = 4

=> X = 4/2

=> x = 2

Hence ,

(2,0) is a solution of the given equation .

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Question 2 :-

Given equation : 3bx - y = 9

It is said that , (3,3) is one of the solution of the given equation .

Thus ,

The COORDINATES of the point (3,3) must satisfy the given equation .

Now ,

PUTTING x = 3 , y = 3 in the given equation ,

We have ;

=> 3bx - y = 9

=> 3b•3 - 3 = 9

=> 9b - 3 = 9

=> 9b = 9 + 3

=> 9b = 12

=> b = 12/9

=> b = 4/3 (Answer)

Hence ,

Required value of b is 4/3 .

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Question 3 :-

Given equation : 2x + 3y = 18

Answer : Infinitely many solutions

Reason :

• If a system contains only one equation , then it has infinitely many solutions .

• A straight line has infinitely many solutions as infinitely many POINTS lies on it .

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Question 4 :-

Given equation : 3x - 4y = 12

If x = 0 , then

=> 3x - 4y = 12

=> 3•0 - 4y = 12

=> 0 - 4y = 12

=> -4y = 12

=> y = 12/-4

=> y = -3

If y = 0 , then

=> 3x - 4y = 12

=> 3x - 4•0 = 12

=> 3x = 12

=> x = 12/3

=> x = 4

Hence ,

(0,-3) and (4,0) are two solutions of the given equation .

• The equation has infinitely many solutions as Infinitely many points lies on it .

• A system containing only one equation has infinitely many solutions .