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Question

Which of the following options is true for the given statements
S1 : 2x = 3y is a linear equation in two variables

S2 : 2 x + 3y = 5  is a linear equation in two variables 


  1. S1 is true but S2 is false

  2. S1 is false but S2 is true

  3. Both S1 and S2 are true

  4. Both S1 and S2 are false


Solution

The correct option is B

S1 is false but S2 is true


2x = 3y is not a linear equation as the power of y is 12. The power of variable should be 1 to satisfy the condition of a linear equation. Therefore, S1 is false.

2 x + 3y = 5 is a linear equation as the degree of x and y is 1.
Also, it can be written as 2 x + 3y - 5=0, which is of the form ax+by+c=0 where a, b, c are real numbers and represents a linear equation in two variables.
Therefore, S2 is true.

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