Problem 99 Solve each equation. $$ m-4=... [FREE SOLUTION]

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Chapter 5: Problem 99

Solve each equation. $$ m-4=0 $$

Short Answer

Expert verified

m = 4

Step by step solution

Identify the equation

The given equation is: m - 4 = 0

Isolate the variable

To solve for the variable, add 4 to both sides of the equation: m - 4 + 4 = 0 + 4

Simplify the equation

Simplify the left side and the right side: m = 4

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolating Variables

Isolating the variable is key to solving any linear equation. The variable is the unknown you are trying to solve for. In our exercise, the variable is $m$.
The goal is to get $m$ by itself on one side of the equation. Why? It tells us the exact value of $m$.
Let's break down how we do that.
In the equation $m - 4 = 0$, subtracting 4 from $m$ keeps $m$ from being isolated. To undo this subtraction, we must add 4 to both sides. This ensures the equation remains balanced, leading us to: $m - 4 + 4 = 0 + 4$. Now, $m$ stands alone on one side of the equation, helping us to find its exact value.

Addition Property of Equality

The Addition Property of Equality states that adding the same number to both sides of an equation keeps it balanced. This property is essential to manipulate and solve equations while maintaining equality.
In our example, the original equation is $m - 4 = 0$. We added 4 to both sides to isolate $m$.
Why add exactly 4? Because it cancels out the -4, neutralizing all other numbers around $m$ on the left side.
This allowed us to transform $m - 4 + 4 = 0 + 4$ into a simple $m = 4$. Balance in an equation means the left side equals the right side. This principle applies to all linear equations.

Simplifying Equations

Simplifying an equation means reducing it to its simplest form. This usually involves combining like terms and performing basic arithmetic operations.
For our equation $m - 4 + 4 = 0 + 4$, we start by dealing with the left side: $m - 4 + 4$. Subtracting 4 and adding 4 cancel each other out, leaving us with just $m$.
On the right side, we simply add 0 and 4 to get 4.
Hence, the equation simplifies to $m = 4$.
This straightforward approach helps you see the equation clearly and avoid mistakes. Simplification is crucial as the final step in solving equations, ensuring they are easy to read and interpret. Keep practicing, and you'll master these steps!

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91影视

Solve each equation. $$ m-4=0 $$

Short Answer

Step by step solution

Identify the equation

Isolate the variable

Simplify the equation

Key Concepts

Isolating Variables

Addition Property of Equality

Simplifying Equations

One App. One Place for Learning.

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