When 2x2y = 24 is solved for w, one equation is w = 8x2y + 2. Which of the following is an equivalent equation to find w?

To find an equivalent equation for w in the equation w = 8x2y + 2, we need to rearrange the original equation and isolate w.

Starting with the equation:

2x2y = 24

We can first divide both sides of the equation by 2:

x2y = 12

Next, we express the term x2y in relation to the original equation, which gives us:

x2y = 12

Now substituting this back into the equation for w:

w = 8(12) + 2

Now we can simplify this further:

w = 96 + 2

w = 98

Therefore, an equivalent equation to find w would be:

w = 8(12) + 2

So, any equation that simplifies to this or gives the same w value of 98 would be an equivalent equation.

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