Solve For { M $} : : : { 0.02m + 0.2 = 1.4 \}

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Introduction

In this article, we will be solving a linear equation to find the value of $m$. The equation given is $0.02m + 0.2 = 1.4$. This type of equation is a simple linear equation, and we can solve it using basic algebraic techniques. We will start by isolating the variable $m$ on one side of the equation.

Understanding the Equation

The given equation is $0.02m + 0.2 = 1.4$. This equation is a linear equation, which means it can be written in the form $ax + b = c$, where $a$, $b$, and $c$ are constants. In this case, $a = 0.02$, $b = 0.2$, and $c = 1.4$. Our goal is to isolate the variable $m$ on one side of the equation.

Isolating the Variable $m$

To isolate the variable $m$, we need to get rid of the constant term $0.2$ on the left-hand side of the equation. We can do this by subtracting $0.2$ from both sides of the equation. This gives us:

$$0.02m + 0.2 - 0.2 = 1.4 - 0.2$$

Simplifying the equation, we get:

$$0.02m = 1.2$$

Solving for $m$

Now that we have isolated the variable $m$, we can solve for its value. To do this, we need to get rid of the coefficient $0.02$ that is multiplied by $m$. We can do this by dividing both sides of the equation by $0.02$. This gives us:

$$\frac{0.02m}{0.02} = \frac{1.2}{0.02}$$

Simplifying the equation, we get:

$$m = 60$$

Conclusion

In this article, we solved a linear equation to find the value of $m$. The equation given was $0.02m + 0.2 = 1.4$. We started by isolating the variable $m$ on one side of the equation, and then solved for its value by getting rid of the coefficient that was multiplied by $m$. The final answer is $m = 60$.

Example Use Case

This type of equation is commonly used in real-world applications, such as finance and science. For example, if a company has a budget of $1.4 million and wants to allocate $0.2 million for marketing, and the cost of marketing is $0.02 million per unit of product, then the number of units of product that can be sold is $m = 60$.

Tips and Tricks

• When solving linear equations, it's always a good idea to start by isolating the variable on one side of the equation.
• Use basic algebraic techniques, such as adding or subtracting the same value to both sides of the equation, to get rid of coefficients and constants.
• Make sure to simplify the equation at each step to avoid errors.

Common Mistakes

• Failing to isolate the variable on one side of the equation.
• Not simplifying the equation at each step.
• Making errors when dividing or multiplying both sides of the equation.

Final Answer

The final answer is $m = 60$.

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Introduction

In our previous article, we solved a linear equation to find the value of $m$. The equation given was $0.02m + 0.2 = 1.4$. We received many questions from readers who were struggling to understand the solution. In this article, we will answer some of the most frequently asked questions about solving linear equations.

Q&A

Q: What is a linear equation?

A: A linear equation is an equation in which the highest power of the variable 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 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 a linear equation and a quadratic equation?

A: A linear equation is an equation in which the highest power of the variable is 1, while a quadratic equation is an equation in which the highest power of the variable is 2. For example, the equation $x + 2 = 3$ is a linear equation, while the equation $x^2 + 2x + 1 = 0$ is a quadratic equation.

Q: How do I know if an equation is linear or quadratic?

A: To determine if an equation is linear or quadratic, you need to look at the highest power of the variable. If the highest power is 1, then the equation is linear. If the highest power is 2, then the equation is quadratic.

Q: Can I use the same methods to solve quadratic equations as I do to solve linear equations?

A: No, you cannot use the same methods to solve quadratic equations as you do to solve linear equations. Quadratic equations require a different set of techniques, such as factoring, completing the square, and using the quadratic formula.

Q: What is the quadratic formula?

A: The quadratic formula is a formula that can be used to solve quadratic equations. It is given by:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

where $a$, $b$, and $c$ are the coefficients of the quadratic equation.

Q: How do I use the quadratic formula?

A: To use the quadratic formula, you need to plug in the values of $a$, $b$, and $c$ into the formula. You will then get two possible solutions for $x$.

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

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

• Failing to isolate the variable on one side of the equation
• Not simplifying the equation at each step
• Making errors when dividing or multiplying both sides of the equation

Q: How do I check my answer when solving a linear equation?

A: To check your answer when solving a linear equation, you need to plug your solution back into the original equation and see if it is true. If it is true, then your solution is correct. If it is not true, then you need to recheck your work.

Conclusion

In this article, we answered some of the most frequently asked questions about solving linear equations. We covered topics such as what a linear equation is, how to solve a linear equation, and how to use the quadratic formula. We also discussed some common mistakes to avoid when solving linear equations and how to check your answer. We hope that this article has been helpful in answering your questions about solving linear equations.

Example Use Case

This type of equation is commonly used in real-world applications, such as finance and science. For example, if a company has a budget of $1.4 million and wants to allocate $0.2 million for marketing, and the cost of marketing is $0.02 million per unit of product, then the number of units of product that can be sold is $m = 60$.

Tips and Tricks

• When solving linear equations, it's always a good idea to start by isolating the variable on one side of the equation.
• Use basic algebraic techniques, such as adding or subtracting the same value to both sides of the equation, to get rid of coefficients and constants.
• Make sure to simplify the equation at each step to avoid errors.

Common Mistakes

• Failing to isolate the variable on one side of the equation.
• Not simplifying the equation at each step.
• Making errors when dividing or multiplying both sides of the equation.

Final Answer

The final answer is $m = 60$.