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Question

Which of the following equations represent linear equations in two variables?

A
y=2
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B
2x25y=1
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C
xy=1
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D
xy=5
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Solution

The correct option is C xy=1
Standard from of line in two variables: ax+by=c, where x,y are variables and a,b,c are constants and the a and b cannot be zero.
Now,
y=2, it can be written as 0x+y=2. But the cofficient of x cannot be zero. So, it does not represent a line in two variables.

2x25y=1, the power of x is not unity. So, it does not represent a line.

xy=1, it has two variable x,y and coefficients are not zero. So, it represents a line in two variables.

xy=5, it has two variables but the variables are multiplied together. This equation does not represent linear equations.

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