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Q.

Which of the following does not provide an expression's solution Question Image


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a

0 and -3

b

1 and 2

c

1 and -1

d

2 and 1  

answer is B.

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Detailed Solution

Concept- To find all the answers in this situation, we shall employ the idea of substitution. To obtain multiple values of y, we shall replace several values for x in the equation and solve it. The equation's solutions are all x and y pair solutions to the equation Question Image.
The given equation is a two-variable linear equation. There are innumerable solutions to a two-variable linear equation.
We can solve the equation using various values of x to obtain various values of y. We can swap an endless number of different values for x.
We will now change the value of x in the given equation to be 0.
Question ImageOur result after multiplying the terms is
Question ImageTo determine the value of y when Question Image, we shall further solve this equation.
Question ImageAs a result, (0, 3) is one solution to the equation Question Image.
The value of Question Image will then be substituted in the provided equation.
Question ImageNow that we have multiplied the terms, we have Question Image.
To determine the value of y when x=1, we shall further solve this equation.
Question ImageAs a result, (1,1) is one solution to the equation Question Image where Question Image and Question Image.
We will now change the value of x in the given equation to be equal to 2.
Thus, we obtain Question Image.
Once the terms are multiplied, we obtain
Question ImageTo determine the value of y for Question Image, we shall further solve this equation.
Question ImageAs a result, Question Imageand Question Image, or (2,1) , is one solution to the equation Question Image.
As a result, the three answers to the equation Question Image are (0,3) , (1,1) , and (2,1) .
Since, (1,2) is not solution to expression Question Image.
Hence, option 2 is correct.
 
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