Question

1. Solve w=x+y/z for y.

2. Solve the equation above for z.

Answer 1

Answer:

1. y = z(w -x)
2. z = y/(w -x)

Step-by-step explanation:

As in any "solve for ..." problem, you reverse (undo) the operations done to the variable of interest. Generally, you do that in reverse order.

1. y is divided by z then the quotient added to x. To solve for y, we subtract x, then multiply by z.

... w - x = y/z . . . . . . . subtract x from the given equation

... z(w -x) = y . . . . . . . multiply by z

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2. To solve for z, it is more convenient to start with the equation for y that is the result of the first question. We divide that by the coefficient of z.

... z = y/(w -x)

Answer 2

From w=x+y/z, the value of y = z(w - x)

w=x+y/z

This is changing the subject formula. The first thing to do is to subtract x from both sides. This will be:

w - x = x + y/z - x

w - x = y/z

Then, we cross multiply

z(w - x) = y

Therefore, y = z(w - x)

Since y = z(w - x)

Then, to get the value of z goes thus:

z = y/(w - x)

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