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Is 3xy=6 a linear equation?
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Solving for y we get the function:
`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:
Posted by flbyrne on October 31, 2013 at 7:09 PM (Answer #1)
The answer is: `3xy=6` is not a linear equation.
Posted by flbyrne on October 31, 2013 at 7:11 PM (Answer #2)
Salutatorian, TA, Tutor
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:
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.
Posted by michuraisin on October 31, 2013 at 9:18 PM (Answer #3)
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