In the realm of mathematics, equations hold a captivating allure, inviting us to embark on journeys of discovery. One such equation, “the difference of twice a number and 3 is -21,” presents an intriguing challenge that requires a blend of logical reasoning and algebraic prowess.
Let us delve into the intricacies of this equation, unraveling its meaning and uncovering the secrets it holds.
This equation, “the difference of twice a number and 3 is -21,” translates into the mathematical expression 2x – 3 = -21, where x represents the unknown number we seek to find. Embarking on a systematic approach, we will dissect the equation, isolate the variable, and ultimately determine the value of x.
The Difference of Twice a Number and 3 is
21
21
This expression represents a mathematical equation where an unknown number is involved. The expression can be broken down into its components:
- Twice a number: This refers to a number that is multiplied by 2.
- Subtracting 3: This indicates that 3 is subtracted from the result of multiplying the number by 2.
- Equaling -21: This means that the final result of the expression is equal to -21.
Solving the Equation
To solve the equation, we need to isolate the unknown number (the number) on one side of the equation. Here are the steps:
- Add 3 to both sides of the equation: This gives us “twice a number” =
18.
- Divide both sides of the equation by 2: This gives us “a number” =
9.
Therefore, the number that satisfies the given expression is
9.
Table of Values
| Number | Twice the Number | Difference | -21 |
|---|---|---|---|
| -10 | -20 | -17 | -21 |
| -9 | -18 | -15 | -21 |
| -8 | -16 | -13 | -21 |
The table shows the relationship between the number, twice the number, the difference, and -21.
Graphical Representation
The graph below illustrates the relationship between the number and the expression “the difference of twice a number and 3”.
[Tampilkan grafik di sini]
Real-World Applications, The difference of twice a number and 3 is -21
The concept of “the difference of twice a number and 3 is -21” can be applied in various real-world situations. For example:
- Finding the number of apples in a basket: Suppose you have a basket of apples. You know that the difference between twice the number of apples and 3 is -21. This means that you can use the expression to find the number of apples in the basket.
- Solving a puzzle: You may encounter a puzzle that requires you to find a number that satisfies a given expression. If the expression involves the concept of “the difference of twice a number and 3”, you can use the steps Artikeld above to solve the puzzle.
Popular Questions: The Difference Of Twice A Number And 3 Is -21
What is the meaning of the equation “the difference of twice a number and 3 is-21”?
This equation represents a mathematical statement that the difference between twice an unknown number and 3 is equal to -21.
How do we solve for the unknown number in the equation?
To solve for the unknown number, we isolate the variable (the number) on one side of the equation by performing algebraic operations such as adding or subtracting the same value from both sides.
What are some real-world applications of this equation?
This equation can be applied in various real-world scenarios, such as calculating the unknown length of a side in a triangle or determining the missing ingredient quantity in a recipe.
