Problem 59 Solve the equation. $$31=-p$$... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 3: Problem 59

Solve the equation. $$31=-p$$

Short Answer

Expert verified

p = -31

Step by step solution

Understand the Equation

The given equation is: 31 = -pOur goal is to solve for the variable p.

Isolate the Variable

To solve for p, we'll need to isolate it. Since p is currently multiplied by -1 (indicated by the negative sign), we can switch the sign on both sides to isolate p.So, we get:-31 = p

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolating Variables

In algebra, solving equations usually means solving for a variable. This is often referred to as 'isolating the variable.' In this exercise, our variable is 'p.'
To isolate a variable means to rearrange the equation in such a way that the variable is alone on one side of the equation and all other terms are on the opposite side.
In the equation given, 31 = -p, we see that 'p' has a negative sign associated with it. Our goal is to get 'p' by itself.
Because 'p' is currently being multiplied by -1, we can switch the signs on both sides in order to isolate 'p.' By switching the signs, we turn the equation into -31 = p.

The Negative Sign

Negative signs in equations indicate that a number or variable is less than zero. In the given equation, 31 = -p, the negative sign before 'p' tells us that 'p' is a negative value of 31.
To solve equations with negative signs, it's important to know the rules for handling negative numbers:

Multiplying or dividing both sides of an equation by -1 changes the sign of every term inside.
Adding a negative number is the same as subtracting that number and vice versa.

In our exercise, to isolate 'p,' you multiply or divide both sides by -1. This switches the signs, effectively giving you -31 = p.

Basic Algebra

Algebra revolves around finding unknown values through equations. The exercise 31 = -p is a classic example of basic algebra.
The steps involved usually include isolating the variable, handling negative signs, and performing basic arithmetic operations.
Here's a quick summary of the steps we followed:

Identify the variable you need to solve for (in this case, 'p').
Identify the operations affecting the variable (here, multiplication by -1).
Perform the inverse operation to isolate the variable.

Once these steps are clear, you can tackle similar problems with confidence!

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91影视

Solve the equation. $$31=-p$$

Short Answer

Step by step solution

Understand the Equation

Isolate the Variable

Key Concepts

Isolating Variables

The Negative Sign

Basic Algebra

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