Solving The Equation 9X + 1 = 17

Solving Equations (24/02) Mathematics and Coding from mymathscoding.co.uk

Introduction

As a professional teacher, it is my duty to explain and provide solutions to mathematical problems that students encounter in their studies. In this article, I will explain the steps to solve the equation 9x + 1 = 17 in a relaxed English language.

The Problem

The equation 9x + 1 = 17 is a simple algebraic equation that involves one variable x. The objective is to find the value of x that satisfies the equation.

Solution

To solve the equation 9x + 1 = 17, we need to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation.

Step 1: Subtract 1 from both sides

9x + 1 - 1 = 17 - 1 Simplifying the left-hand side of the equation: 9x = 16

Step 2: Divide both sides by 9

We can get the value of x by dividing both sides of the equation by 9. 9x/9 = 16/9 Simplifying: x = 16/9

Final Solution

Therefore, the solution to the equation 9x + 1 = 17 is x = 16/9.

Explanation

Now, let us explain the steps involved in solving the equation 9x + 1 = 17 in detail.

Step 1: Subtract 1 from both sides

The first step is to simplify the equation by subtracting 1 from both sides. This is necessary because we want to isolate the variable x on one side of the equation. 9x + 1 - 1 = 17 - 1 This simplifies to: 9x = 16

Step 2: Divide both sides by 9

The next step is to isolate x by dividing both sides of the equation by 9. 9x/9 = 16/9 This simplifies to: x = 16/9

Final Solution

Therefore, the value of x that satisfies the equation 9x + 1 = 17 is x = 16/9.

Conclusion

In conclusion, solving algebraic equations can be challenging for students. However, by following the steps outlined in this article, students can easily solve the equation 9x + 1 = 17. It is important to understand the concept of isolating the variable and performing the same operation on both sides of the equation. Practice makes perfect, and with regular practice, students can become proficient in solving algebraic equations.