How to solve a linear equation using the equality properties. Help explain in simple language

Sure! I'll explain how to solve a linear equation using the equality properties in simple language. Here are the steps you can follow:

Step 1: Understand the problem
Read the linear equation carefully and identify the variable involved. Let's take the example equation: 2x + 3 = 9.

Step 2: Isolate the variable
The goal is to isolate the variable on one side of the equation. In our example, we want to isolate x.

Step 3: Use the equality properties
You can use the equality properties to perform operations on both sides of the equation as long as you do the same thing to both sides. The equality properties include:

- Addition Property: You can add the same number to both sides of the equation.
- Subtraction Property: You can subtract the same number from both sides of the equation.
- Multiplication Property: You can multiply both sides by the same number.
- Division Property: You can divide both sides by the same non-zero number.

Step 4: Solve the equation
Apply the equality properties to manipulate the equation until you isolate the variable.

Let's solve the example equation step by step:

2x + 3 = 9

Step 1: Identify the variable, x.

Step 2: To isolate the variable, we want to move the +3 to the other side. We can do this by subtracting 3 from both sides:

2x + 3 - 3 = 9 - 3
2x = 6

Step 3: The variable is still being multiplied by 2, so we need to divide both sides by 2 to isolate x:

2x/2 = 6/2
x = 3

Step 4: We have now solved the equation, and the value of x is 3.

That's it! You have solved the linear equation using the equality properties.

Sure! I can help you understand how to solve a linear equation using the equality properties.

To solve a linear equation, you need to isolate the variable on one side of the equation. The equality properties, or properties of equality, are rules that allow you to perform operations on both sides of an equation without changing its solutions.

Here are the steps to solve a linear equation using the equality properties:

Step 1: Simplify both sides of the equation.
Start by simplifying any operations on both sides of the equation. This could involve combining like terms, distributing, or simplifying fractions.

Step 2: Use the addition/subtraction property of equality.
You can add or subtract the same number to both sides of the equation without changing its solutions. By doing so, you can move terms to the other side of the equation to isolate the variable.

Step 3: Use the multiplication/division property of equality.
You can multiply or divide both sides of the equation by the same non-zero number without changing its solutions. This allows you to scale the equation and further isolate the variable.

Step 4: Continue simplifying until the variable is isolated.
Repeat steps 2 and 3 as necessary to get the variable on one side of the equation by itself, and simplify both sides until you have the final solution.

Step 5: Check the solution.
Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

By following these steps and applying the equality properties correctly, you can solve linear equations and find the value of the variable.