# Using Diagrams to Model and Solve Equations

In this article, the focus is on teaching you how to use diagrams to model and solve equations. By Using Diagrams, you can simply Model and Solve Equations.

**A step-by-step guide to using diagrams to model and solve equations**

Modeling and solving equations using diagrams can be a visual and effective method for understanding mathematical concepts. Here is a step-by-step guide for students.

- Identify the equation: Start by writing down the equation that you want to solve. Make sure it is a simple equation that can be solved using diagrams.
- Draw a diagram: Draw a diagram that represents the equation. For example, if the equation is x + 2 = 5, you can draw a number line with 5 on one side and x + 2 on the other side.
- Label the diagram: Label the diagram with the values from the equation. For example, in the number line, you would label 5 as “5” and x + 2 as “x + 2”.
- Compare the values: Compare the values on each side of the equation and determine if they are equal. In this case, 5 and x + 2 are equal.
- Solve for the unknown: If the values are equal, then you can solve for the unknown value, in this case, x. To do this, you can subtract 2 from both sides of the equation, resulting in x + 2 – 2 = 5 – 2, which simplifies to x = 3.
- Check the solution: Finally, check the solution by plugging the value of x back into the original equation and making sure both sides of the equation are equal. In this case, x + 2 = 3 + 2, which equals 5.

By following these steps, you can use diagrams to model and solve equations in a visual and effective way.

**Using Diagrams to Model and Solve Equations – Example 1**

Graph the diagram that represents the equation, \(s-14=6\).**Solution:**

The equation represents that if you have a number, s, and subtract 14 from it, it is equal to 6. Or if you have a number, s, it is equal to the sum of 6 and 14, \(s=6+14\).

**Using Diagrams to Model and Solve Equations – Example 2**

Graph the diagram that represents the equation, \(2f=12\).**Solution:**

The equation represents that if you have a number, f, and multiply 2 by it, it is equal to 12. Or if you have a number, f, it is equal to the multiplication of 2 in f, \(2f=12\).

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