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In the figure, x=2y, y=2z, z=2w. Find w.

User Sreehari
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1 Answer

4 votes

Answer:

Explanation:

To find w, we can substitute the equations y = 2z and z = 2w into the equation x = 2y to get the following:

x = 2(2z)

x = 4z

Since we know that z = 2w, we can substitute this into the equation x = 4z to get the following:

x = 4(2w)

x = 8w

Therefore, w = x / 8.

For example, if x = 16, then w = 16 / 8 = 2.

Another way to solve this problem is to use the following steps:

Start with the equation x = 2y.

Multiply both sides of the equation by 2 to get 2x = 4y.

Since y = 2z, we can substitute 2z for y in the equation 2x = 4y to get 2x = 4(2z).

Multiply both sides of the equation by 2 to get 4x = 8z.

Since z = 2w, we can substitute 2w for z in the equation 4x = 8z to get 4x = 8(2w).

Simplify the equation to get 4x = 16w.

Divide both sides of the equation by 4 to get w = x / 4.

Therefore, w = x / 8.

User Ilaunchpad
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