Solve.

8/w = 9/w - 1/2

The solution is:

8/w-9/w=-1/2

-1/w=-1/2
w=2

Why not cross-multiply?

9 times w = 9w

8 times (w - 12) = 8w - 96

We now equate 9w and 8w - 96 and solve for w.

9w = 8w - 96

9w - 8w = -96

w = -96....This is our solution.

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To check, replace w with -96 in the original fractional equation given. If you get the same answer (and you will) on BOTH sides of the fractional equation, you will then know that
w = -96 is correct.

Done!

Becky,

I am sorry. I did not see that w subtracts the fraction 1/2 NOT 12.

So, Jas is correct.

Sorry for the error.

Done!

To solve this equation, we can start by getting rid of the denominators by multiplying both sides of the equation by the common denominator of the fractions, which in this case is 2w.

2w * (8/w) = 2w * (9/w) - 2w * (1/2)

This simplifies to:

16 = 18 - w

Next, let's isolate the variable w on one side of the equation. We can do this by subtracting 18 from both sides:

16 - 18 = 18 - w - 18

This simplifies to:

-2 = -w

To solve for w, we can multiply both sides of the equation by -1:

-1 * (-2) = -1 * (-w)

This gives us:

2 = w

So, the solution to the equation is w = 2.