1 - -2h=-7 Solve For H
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Introduction
In this article, we will be solving a simple algebraic equation to find the value of a variable 'h'. The equation given is 1.2h = 7, and we need to isolate 'h' to find its value. This type of problem is commonly encountered in mathematics, particularly in algebra and geometry.
Understanding the Equation
The given equation is 1.2h = 7. This is a linear equation, where 'h' is the variable we need to solve for. The coefficient of 'h' is 1.2, which means that 'h' is multiplied by 1.2 to get 7.
Solving for h
To solve for 'h', we need to isolate 'h' on one side of the equation. We can do this by dividing both sides of the equation by 1.2. This will cancel out the 1.2 on the left side of the equation, leaving us with 'h' on the left side.
Step 1: Divide both sides by 1.2
\frac{1.2h}{1.2} = \frac{7}{1.2}
Step 2: Simplify the equation
h = \frac{7}{1.2}
Step 3: Calculate the value of h
To calculate the value of 'h', we can divide 7 by 1.2.
h = 5.8333
Conclusion
In this article, we solved the equation 1.2h = 7 to find the value of 'h'. We used the concept of isolating the variable 'h' by dividing both sides of the equation by the coefficient of 'h'. The value of 'h' is approximately 5.8333.
Example Use Cases
This type of problem is commonly encountered in real-world scenarios, such as:
- Calculating the cost of an item with a discount
- Finding the area of a rectangle with a given perimeter
- Determining the height of a building with a given base area
Tips and Tricks
When solving equations, it's essential to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
By following these steps, you can ensure that you're solving equations correctly and efficiently.
Frequently Asked Questions
Q: What is the value of h in the equation 1.2h = 7?
A: The value of 'h' is approximately 5.8333.
Q: How do I solve for h in the equation 1.2h = 7?
A: To solve for 'h', divide both sides of the equation by 1.2.
Q: What is the concept of isolating a variable in an equation?
A: Isolating a variable in an equation means getting the variable by itself on one side of the equation, without any other variables or constants attached to it.
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Introduction
In our previous article, we solved the equation 1.2h = 7 to find the value of 'h'. In this article, we will be answering some frequently asked questions related to solving equations, particularly the equation 1.2h = 7.
Q&A
Q: What is the value of h in the equation 1.2h = 7?
A: The value of 'h' is approximately 5.8333.
Q: How do I solve for h in the equation 1.2h = 7?
A: To solve for 'h', divide both sides of the equation by 1.2.
Q: What is the concept of isolating a variable in an equation?
A: Isolating a variable in an equation means getting the variable by itself on one side of the equation, without any other variables or constants attached to it.
Q: How do I know which operation to perform first when solving an equation?
A: When solving an equation, it's essential to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: What if I have a fraction in my equation? How do I solve for the variable?
A: If you have a fraction in your equation, you can multiply both sides of the equation by the denominator of the fraction to eliminate the fraction. For example, if you have the equation 1.2h = 7 and the fraction is 1.2, you can multiply both sides by 1.2 to get h = 7/1.2.
Q: Can I use a calculator to solve for the variable?
A: Yes, you can use a calculator to solve for the variable. However, it's essential to understand the concept of solving equations and how to apply it to different types of equations.
Q: What if I have a system of equations? How do I solve for the variables?
A: If you have a system of equations, you can use substitution or elimination methods to solve for the variables. Substitution involves solving one equation for one variable and then substituting that expression into the other equation. Elimination involves adding or subtracting the equations to eliminate one of the variables.
Tips and Tricks
When solving equations, it's essential to follow these tips and tricks:
- Read the equation carefully and understand what it's asking for.
- Identify the variable you need to solve for.
- Use the order of operations (PEMDAS) to evaluate the equation.
- Isolate the variable by performing the necessary operations.
- Check your answer by plugging it back into the original equation.
Example Use Cases
This type of problem is commonly encountered in real-world scenarios, such as:
- Calculating the cost of an item with a discount
- Finding the area of a rectangle with a given perimeter
- Determining the height of a building with a given base area
Conclusion
In this article, we answered some frequently asked questions related to solving equations, particularly the equation 1.2h = 7. We also provided some tips and tricks for solving equations and example use cases. By following these steps and understanding the concept of solving equations, you can become proficient in solving equations and apply it to different types of equations.
Frequently Asked Questions
Q: What is the value of h in the equation 1.2h = 7?
A: The value of 'h' is approximately 5.8333.
Q: How do I solve for h in the equation 1.2h = 7?
A: To solve for 'h', divide both sides of the equation by 1.2.
Q: What is the concept of isolating a variable in an equation?
A: Isolating a variable in an equation means getting the variable by itself on one side of the equation, without any other variables or constants attached to it.
Q: How do I know which operation to perform first when solving an equation?
A: When solving an equation, it's essential to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: What if I have a fraction in my equation? How do I solve for the variable?
A: If you have a fraction in your equation, you can multiply both sides of the equation by the denominator of the fraction to eliminate the fraction. For example, if you have the equation 1.2h = 7 and the fraction is 1.2, you can multiply both sides by 1.2 to get h = 7/1.2.
Q: Can I use a calculator to solve for the variable?
A: Yes, you can use a calculator to solve for the variable. However, it's essential to understand the concept of solving equations and how to apply it to different types of equations.
Q: What if I have a system of equations? How do I solve for the variables?
A: If you have a system of equations, you can use substitution or elimination methods to solve for the variables. Substitution involves solving one equation for one variable and then substituting that expression into the other equation. Elimination involves adding or subtracting the equations to eliminate one of the variables.