Are you struggling to find the right translation for the Spanish phrase “despejar la variable” in English? Look no further! In this guide, we will explore both formal and informal ways to express this term, along with various tips, examples, and regional variations if necessary.
Table of Contents
Formal Expressions
When it comes to formal language, it is important to maintain a precise and professional tone. Here are some phrases you can use:
To solve for the variable
The phrase “to solve for the variable” accurately conveys the idea of finding a value that satisfies an equation involving an unknown quantity.
For example:
- The mathematician effectively solved for the variable in the complex equation.
- When you solve for the variable, make sure to check your answer for accuracy.
To rearrange the equation
This expression focuses on reorganizing the equation to isolate the variable and obtain its value.
For example:
- I managed to rearrange the equation and successfully determined the value of the variable.
- Rearranging the equation allows us to express the variable in terms of other known quantities.
Informal Expressions
In more informal settings, you can use expressions that convey the same meaning in a less formal manner. Here are some alternatives:
To figure out the variable
This phrase is commonly used in casual conversations to indicate the process of solving an equation to find the value of the unknown variable.
For example:
- I need to figure out the variable in this equation before I can proceed.
- John struggled to figure out the variable until he discovered a helpful technique.
To solve the equation for the unknown
This expression emphasizes the act of finding the unknown value by solving the equation.
For example:
- Let’s solve the equation for the unknown and determine the value of the variable.
- She carefully solved the equation for the unknown and arrived at the correct answer.
Regional Variations
While there are not many specific regional variations for translating “despejar la variable” in English, it is worth noting that terminology may slightly differ. However, the principles and ideas behind solving equations remain consistent across various English-speaking regions.
It is important to understand that mathematics and its associated terminology are highly standardized, making the translation relatively consistent worldwide.
Key Tips for Solving Equations
Solving equations can sometimes be challenging, but with these helpful tips, you’ll be able to despejar la variable (solve for the variable) with ease:
- Focus on isolating the variable: Whether you’re rearranging the equation or solving for the unknown, concentrate on getting the variable on one side of the equation.
- Use inverse operations: Employ inverse operations (such as addition/subtraction or multiplication/division) to undo any operations that are applied to the variable.
- Be careful with negative signs: Double-check the placement of negative signs when rearranging equations to avoid making mistakes.
- Verify your answer: Always substitute the value you obtained back into the original equation to ensure it satisfies the equation’s conditions.
Examples of Solving Equations
Let’s take a look at a few examples to solidify our understanding of how to solve equations:
Example 1:
Given the equation 3x + 5 = 14, we need to despejar la variable (solve for the variable).
- Start by isolating the variable. Subtract 5 from both sides of the equation: 3x = 9.
- To determine the value of x, divide both sides by 3: x = 3.
Example 2:
Consider the equation 2y – 7 = 11. To find the solution, we must despejar la variable (solve for the variable).
- Add 7 to both sides of the equation: 2y = 18.
- Next, divide both sides by 2 to find the value of y: y = 9.
Example 3:
Let’s work with the equation 4z/2 + 3 = 8. To despejar la variable (solve for the variable), follow these steps:
- Multiply both sides of the equation by 2 to eliminate the fraction: 4z + 6 = 16.
- Subtract 6 from both sides: 4z = 10.
- Finally, divide both sides by 4 to obtain the value of z: z = 2.5.
Congratulations! You now have a solid understanding of how to say “despejar la variable” in English and how to apply the necessary techniques for solving equations.
Remember to practice regularly, and don’t hesitate to seek additional resources if needed. Happy math-solving!
