Problem 291 In the following exercises, solv... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 291

In the following exercises, solve the equation. $$f+3.45=2.6$$

Short Answer

Expert verified

f = -0.85

Step by step solution

- Understand the equation

The equation given is: f + 3.45 = 2.6

- Isolate the variable

To find the value of the variable f, isolate it by subtracting 3.45 from both sides of the equation. This gives: f = 2.6 - 3.45

- Solve the equation

Subtract 3.45 from 2.6: f = 2.6 - 3.45 f = -0.85

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Key Concepts

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

Isolating the Variable

Isolating the variable is a crucial step in solving linear equations. This means getting the unknown variable on one side of the equation by itself.
In our given problem, the equation is:
f + 3.45 = 2.6
To isolate the variable (f), you need to remove the constant term added to it.

Here鈥檚 how you do it:

First, observe what is added to or subtracted from the variable. In this case, it is +3.45.
To isolate f, you do the opposite operation. Since 3.45 is added, you subtract 3.45 from both sides of the equation.
After subtracting, you get:
f = 2.6 - 3.45

Now, the variable f is isolated, and we can focus on simplifying the right-hand side of the equation.

Basic Arithmetic Operations

Understanding basic arithmetic operations is essential for solving equations. Operations include addition, subtraction, multiplication, and division. In this case, we are dealing with subtraction.
Using our isolated equation from the previous section:
f = 2.6 - 3.45

Place 2.6 and 3.45 in a format where you subtract the smaller number from the larger. This may often involve dealing with decimals.
When subtracting decimals, align the decimal points to ensure accuracy.
Perform the subtraction: 2.6 - 3.45. Here, 2.6 is less than 3.45, so our answer will be negative.

After performing the subtraction, we get:
f = -0.85

Understanding Equations

Understanding what an equation represents helps in solving them more effectively. An equation is a mathematical statement showing the equality between two expressions.

In the given equation:

f + 3.45 = 2.6

Each side of the equation represents a value that, when equal, balances the equation.

The left-hand side (LHS) represents the sum of f and 3.45.
The right-hand side (RHS) represents 2.6.

To solve an equation, aim to isolate the variable on one side (LHS or RHS) and perform arithmetic operations to find its value.
This approach can be applied to any linear equation to determine the value of the unknown variable.

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91影视

In the following exercises, solve the equation. $$f+3.45=2.6$$

Short Answer

Step by step solution

- Understand the equation

- Isolate the variable

- Solve the equation

Key Concepts

Isolating the Variable

Basic Arithmetic Operations

Understanding Equations

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