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 x3−y3=33For 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, 7yx−1x=−3⇒7y−1x=−3⇒7y−1=−3x⇒7y+3x=1 This is linear equation in two variable. option(d)––––––––––: x3−y3=33 This is not linear equation because both variable have 3 as their exponent.

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