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Algebra 2w-y=7w for w

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Answer:

To solve for w in the equation 2w - y = 7w, you'll want to isolate w on one side of the equation. Here are the steps to do that:

1. First, subtract 2w from both sides of the equation to move all the terms containing w to one side:

2w - 2w - y = 7w - 2w

This simplifies to:

-y = 5w

2. Now, divide both sides of the equation by 5 to isolate w:

(-y) / 5 = (5w) / 5

This simplifies to:

-w/5 = w

3. To make the variable positive, multiply both sides of the equation by -1:

(-1) * (-w/5) = -1 * w

This gives:

w/5 = -w

4. Finally, to isolate w, multiply both sides of the equation by 5:

5 * (w/5) = 5 * (-w)

This simplifies to:

w = -5w

Now, you have the value of w in terms of itself, which means w = -5w. This equation doesn't have a unique solution because w can be any value (positive or negative).

Explanation:

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