Solve The Equation $P = S + T + R$ For $s$.$s =$ (Simplify Your Answer.)

Introduction

In mathematics, solving equations is a fundamental concept that helps us find the value of unknown variables. In this article, we will focus on solving the equation $P = s + t + r$ for $s$. This equation is a simple linear equation that involves three variables: $P$, $s$, $t$, and $r$. Our goal is to isolate the variable $s$ and find its value in terms of the other variables.

Understanding the Equation

The equation $P = s + t + r$ is a linear equation that states that the sum of the variables $s$, $t$, and $r$ is equal to the variable $P$. To solve for $s$, we need to isolate the variable $s$ on one side of the equation.

Step 1: Subtract t and r from both sides

To isolate the variable $s$, we need to subtract the variables $t$ and $r$ from both sides of the equation. This will give us the value of $s$ in terms of the other variables.

P = s + t + r
P - t - r = s + t + r - t - r
P - t - r = s

Step 2: Simplify the equation

Now that we have isolated the variable $s$, we can simplify the equation by combining like terms.

P - t - r = s
s = P - t - r

Conclusion

In this article, we have solved the equation $P = s + t + r$ for $s$. We have used the steps of subtracting $t$ and $r$ from both sides of the equation and simplifying the resulting equation to isolate the variable $s$. The final solution is $s = P - t - r$.

Example

Let's use an example to illustrate the solution. Suppose we have the equation $P = 10 + 2 + 3$ and we want to solve for $s$. We can substitute the values into the equation and solve for $s$.

P = 10 + 2 + 3
P = 15
s = P - t - r
s = 15 - 2 - 3
s = 10

Tips and Tricks

When solving equations, it's essential to follow the order of operations (PEMDAS) and to simplify the equation as much as possible. Additionally, make sure to check your work by plugging the solution back into the original equation.

Common Mistakes

When solving equations, it's easy to make mistakes. Some common mistakes include:

• Not following the order of operations (PEMDAS)
• Not simplifying the equation
• Not checking the work

Conclusion

Introduction

In our previous article, we solved the equation $P = s + t + r$ for $s$. In this article, we will answer some frequently asked questions about solving this equation.

Q: What is the order of operations (PEMDAS) and how does it apply to solving equations?

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. PEMDAS stands for:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

When solving equations, it's essential to follow the order of operations to ensure that we perform the operations in the correct order.

Q: How do I simplify an equation?

A: To simplify an equation, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. For example, in the equation $2x + 3x$, the terms $2x$ and $3x$ are like terms because they both have the variable $x$ raised to the power of 1.

To simplify the equation, we can combine the like terms by adding or subtracting their coefficients. In this case, we can combine the terms $2x$ and $3x$ by adding their coefficients:

$2x + 3x = (2 + 3)x = 5x$

Q: What is the difference between a variable and a constant?

A: A variable is a symbol that represents a value that can change. In the equation $P = s + t + r$, the variables are $s$, $t$, and $r$. A constant, on the other hand, is a value that does not change. In the equation $P = s + t + r$, the constant is $P$.

Q: How do I check my work when solving an equation?

A: To check your work when solving an equation, you can plug the solution back into the original equation and see if it is true. For example, if we solve the equation $P = s + t + r$ for $s$ and get the solution $s = P - t - r$, we can plug this solution back into the original equation to check our work:

$P = s + t + r$ $P = (P - t - r) + t + r$ $P = P$

Since the equation is true, we know that our solution is correct.

Q: What are some common mistakes to avoid when solving equations?

A: Some common mistakes to avoid when solving equations include:

• Not following the order of operations (PEMDAS)
• Not simplifying the equation
• Not checking the work
• Not using the correct signs (e.g. + or -)

By avoiding these common mistakes, you can ensure that your solutions are accurate and reliable.

Conclusion

Solving the equation $P = s + t + r$ for $s$ is a straightforward process that involves subtracting $t$ and $r$ from both sides of the equation and simplifying the resulting equation. By following the steps outlined in this article and avoiding common mistakes, you can solve this equation and find the value of $s$ in terms of the other variables.