Is 3xy=6 a linear equation?

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Solving for y we get the function:

`y=6/(3x)`

`y=2/x` or `y=2x^-1` , x is at the -1 power.

The general form of a linear equation is `ax+b=c`, or expressed as a function `y=ax+b` and the graph is a line. x is at the power of 1

In this case `y=2x` would be a linear equation.

See the graphs below:

`y=2x` blue

`y=2/x` red

The answer is: **`3xy=6` is not a linear equation.**

3xy=6 would not be a linear equation. Usually, a linear equation will follow the form y=mx+b. If we change your equation so we have it in terms of y, then it would be:

y=6/3x, or simplified to:

y=2/x

As you can see, that doesn't comply with y=mx+b.

Also, linear equations must produce linear lines on a graph. If we graph out y=2/x, we see that this is not the case.

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