Which one of the following equations is an example of a linear equation in two variables?

x y + 2 y = 2

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x + 2 y + 3 z = 4

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7 x = 5

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3 x - 6 y = 8

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Solution

The correct option is D $3 x - 6 y = 8$
For an equation to be a linear equation in two variable, we should be able to write it in the form $a x + b y + c = 0$ , where $a$ and $b$ are non-zero real numbers and $c$ is a real number.

Only, $3 x - 6 y = 8$ can be written in the form $a x + b y + c = 0$ and hence is a linear equation in two variable.

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