https://file.aiquickdraw.com/mathbot/file/1725962804088jwz0z3iv.jpg

The equation in the image is:

\[
\frac{343x}{125} - 14700 = 
\]

To solve for \(x\), let's isolate \(x\) on one side of the equation.

1. Add \(14700\) to both sides of the equation:

\[
\frac{343x}{125} = 14700
\]

2. Multiply both sides by \(125\) to eliminate the denominator:

\[
343x = 14700 \times 125
\]

3. Simplify the right-hand side:

\[
343x = 1837500
\]

4. Now, divide both sides by \(343\) to solve for \(x\):

\[
x = \frac{1837500}{343}
\]

Let's compute this value.The solution for \(x\) is approximately:

\[
x \approx 5357.14
\]

Would you like more details or clarifications on any of the steps?

Here are some related questions to consider:
1. How would the solution change if a different constant replaced 14700?
2. What if the equation had an additional term on the right-hand side?
3. How can this method be applied to similar equations with different denominators?
4. What happens if you multiply both sides of the original equation by 343 instead of 125?
5. How can this process be adjusted if dealing with decimal values from the start?

**Tip:** When solving equations, always aim to isolate the variable step by step to avoid errors.

Learn how to solve the linear equation 343x / 125 - 14700 with a step-by-step guide. This algebra problem demonstrates solving linear equations through isolating variables, cross-multiplication, and division. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation