graph -1/2x + 1/6y = 2/3

Was not sure if you meant -1/(2x)+ 1/(6y) = 2/3 or (-1/2)x + (1/6)y = 2/3

The solution for -1/(2x)+ 1/(6y) = 2/3 is as follows:

-1/(2x) + 1/(6y) = 2/3

could be rewritten as follows by adding 1/(2x) to both sides of the equation.

-1/(2x) + 1/(2x) + 1/(6y) = 2/3 + 1/(2x)

1/(6y) = 1/(2x) + 2/3.

Now we add the components on the right side with common denominator

1/(6y) = (3 + 4x)/(6x)

which can be further simplified as follows

1/y = (3 + 4x)/x

Now we have to find the multiplicative inverses on both sides. That is,

y = x/ (3 + 4x) or y = x/ (4x + 3)

Now to plot a graph, we have to find the ordered pairs or the co-ordinates of the points and then join them.

For eg: when x= 0, y= 0; x= 3, y= 3/15 or 1/5; we have ordered pairs and they are P1 (0,0) and P2 (3,1/5). P1 and P2 can be connected.

## Comments

I got a different answer.