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Question

Identify which of the following is not a linear equation in two variable?

A
22x+7=y2
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B
x+3y=z
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C
7yx+3=1x
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D
x3y3=33
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Solution

The correct option is D x3y3=33
For a equation to be linear in two variable, exponent of both variable should be 1 i.e. and that equation will represent straight line.

option(a)––––––––: 22x+7=y2
This equation have two variables but is not linear because variable y has exponent 2. So, this is not linear equation in two variable.

option(b)––––––––: x+3y=z
This is linear equation but have three variable x,y and z.
So,this is not linear equation in two variable.

option(c)––––––––: 7yx+3=1x
On simplifying by transposing 3 to RHS and 1x to LHS we get,
7yx1x=37y1x=37y1=3x7y+3x=1

This is linear equation in two variable.

option(d)––––––––: x3y3=33
This is not linear equation because both variable have 3 as their exponent.

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