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Question

Which of the following is/are not linear equation(s)?

A
5y7zx=29x+30
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B
x2x2+3x3=4
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C
3x+5y7z=2x2
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D
3x+7y9z+7x=2
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Solution

The correct option is C 3x+5y7z=2x2
An equation is said to be a linear equation if the degree of that equation is one.

The equations, 3x+5y7z=2x2 and 5y7zx=29x+30 are not linear equations as their degree is two.

The equation, 3x+7y9z+7x=2 is a linear equation as it can be reduced to the linear form. This is shown below:
3x+7y9z+7x=2
Multiply both sides by 9z+7x,
3x+7y9z+7x×(9z+7x)=2×(9z+7x)
3x+7y=18z+14x
11x7y+18z=0

The equation, x2x2+3x3=4 is also not a linear equation as its degree is three.

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