Solve The Following Equations And Verify Your Answer By Substituting The Value Of The Variable Separately In LHS And RHS 1. A0.04=5a-7.08​

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Introduction

Linear equations are a fundamental concept in mathematics, and solving them is a crucial skill for students to master. In this article, we will focus on solving and verifying linear equations, specifically the equation a0.04 = 5a - 7.08. We will use step-by-step procedures to solve the equation and then verify our answer by substituting the value of the variable separately in the Left-Hand Side (LHS) and Right-Hand Side (RHS).

Step 1: Write Down the Equation

The given equation is a0.04 = 5a - 7.08. We will start by writing down the equation and identifying the variables and constants.

Step 2: Isolate the Variable

To solve the equation, we need to isolate the variable a. We can do this by adding or subtracting the same value to both sides of the equation. In this case, we can add 7.08 to both sides of the equation to get:

a0.04 + 7.08 = 5a

Step 3: Simplify the Equation

Next, we can simplify the equation by combining like terms. We can rewrite a0.04 as 0.04a and then combine it with 7.08 to get:

0.04a + 7.08 = 5a

Step 4: Subtract 0.04a from Both Sides

To isolate the variable a, we need to get rid of the 0.04a term on the left-hand side of the equation. We can do this by subtracting 0.04a from both sides of the equation:

7.08 = 5a - 0.04a

Step 5: Combine Like Terms

Next, we can combine the like terms on the right-hand side of the equation:

7.08 = 4.96a

Step 6: Divide Both Sides by 4.96

To solve for a, we need to get rid of the 4.96 term on the right-hand side of the equation. We can do this by dividing both sides of the equation by 4.96:

a = 7.08 / 4.96

Step 7: Calculate the Value of a

Finally, we can calculate the value of a by dividing 7.08 by 4.96:

a = 1.43

Verification

To verify our answer, we can substitute the value of a separately in the LHS and RHS of the original equation:

LHS: a0.04 = 1.43 * 0.04 = 0.0572

RHS: 5a - 7.08 = 5 * 1.43 - 7.08 = 0.0572

Since the LHS and RHS are equal, our answer is verified.

Conclusion

Introduction

In our previous article, we solved and verified the linear equation a0.04 = 5a - 7.08 using step-by-step procedures. In this article, we will answer some frequently asked questions (FAQs) related to solving and verifying linear equations.

Q: What is a linear equation?

A: A linear equation is an equation in which the highest power of the variable(s) is 1. In other words, it is an equation that can be written in the form ax + b = c, where a, b, and c are constants.

Q: How do I solve a linear equation?

A: To solve a linear equation, you need to isolate the variable(s) on one side of the equation. You can do this by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same non-zero value.

Q: What is the difference between LHS and RHS?

A: LHS stands for Left-Hand Side, which is the side of the equation that contains the variable(s) on the left side of the equation. RHS stands for Right-Hand Side, which is the side of the equation that contains the constant(s) on the right side of the equation.

Q: How do I verify my answer?

A: To verify your answer, you need to substitute the value of the variable(s) separately in the LHS and RHS of the original equation. If the LHS and RHS are equal, then your answer is verified.

Q: What if I get a different answer when I verify my solution?

A: If you get a different answer when you verify your solution, then it means that your solution is incorrect. You need to go back and recheck your work to find the mistake.

Q: Can I use a calculator to solve linear equations?

A: Yes, you can use a calculator to solve linear equations. However, it's always a good idea to verify your answer by hand to make sure that the calculator is working correctly.

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

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

  • Not isolating the variable(s) on one side of the equation
  • Not simplifying the equation
  • Not verifying the answer
  • Not checking for errors in the calculation

Q: Can I solve linear equations with fractions?

A: Yes, you can solve linear equations with fractions. To do this, you need to follow the same steps as solving linear equations with whole numbers, but you need to be careful when multiplying and dividing fractions.

Q: Can I solve linear equations with decimals?

A: Yes, you can solve linear equations with decimals. To do this, you need to follow the same steps as solving linear equations with whole numbers, but you need to be careful when multiplying and dividing decimals.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to solving and verifying linear equations. We hope that this article has been helpful in clarifying any doubts you may have had about solving and verifying linear equations. If you have any more questions, feel free to ask!