Solve. (I)/(r)=P for r

Name: Problem 236, Chapter 7: Intermediate Algebra
Uploaded: 2022-10-06T20:59:19-08:00
Duration: 42 s
Channel: Alaina Plummer
Description: Solve. (I)/(r)=P for r

step 1 Here in this rational equation, we need to solve for R. So we'll start by multiplying both sides

Question

Solve. $$\frac{I}{r}=P \text { for } r$$

   Solve.
$$\frac{I}{r}=P \text { for } r$$

Intermediate Algebra

Lynn Marecek 2nd Edition

Chapter 7, Problem 236

Instant Answer

Solved by Expert Alaina Plummer

10/06/2022

Step 1

This gives us: \[r \cdot \frac{I}{r} = P \cdot r\] Show more…

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Solve. $$\frac{I}{r}=P \text { for } r$$

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Key Concepts

Solving Linear Equations

Solving linear equations involves finding the value of an unknown variable that satisfies the equality. This is typically done by performing a series of operations, such as adding, subtracting, multiplying, or dividing both sides of the equation to isolate the variable.

Isolation of Variables

Isolation of variables is the process of manipulating an equation to express a particular variable explicitly in terms of the other quantities. This technique is central in algebra, allowing one to solve for an unknown by systematically undoing the operations applied to it.

Multiplicative Inverse

The concept of a multiplicative inverse is used to 'cancel out' a number in an equation. It refers to the reciprocal of a number, such that multiplying the number by its reciprocal yields one. This property is essential when a variable is multiplied by a coefficient and one wishes to isolate the variable.

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