Math

QuestionSolve for nn in the equation np+r=q\frac{n}{p} + r = q.

Studdy Solution

STEP 1

Assumptions1. We are given the equation np+r=q\frac{n}{p}+r=q . We are asked to solve for nn
3. pp, rr, and qq are constants

STEP 2

We need to isolate nn on one side of the equation. To do this, we first subtract rr from both sides of the equation.
np+rr=qr\frac{n}{p}+r-r=q-r

STEP 3

implify the equation.
np=qr\frac{n}{p}=q-r

STEP 4

To isolate nn, we multiply both sides of the equation by pp.
pnp=p(qr)p \cdot \frac{n}{p}=p \cdot (q-r)

STEP 5

implify the equation.
n=p(qr)n=p \cdot (q-r)Now, nn is isolated and the equation is solved for nn.

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