Math Problem Statement

I am thinking of a number. When I double my number and then subtract the result from five, I get negative one. What is my number? Write and solve an equation.

Solution

I will extract and interpret the content of the image to solve the mathematical question. Let me analyze the uploaded file. PIL import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/1736969168334apva0oia.jpg" image = Image.open(image_path)

Extract text from the image using OCR

extracted_text = pytesseract.image_to_string(image) extracted_textThe problem extracted from the image states:

"I am thinking of a number. When I double my number and then subtract the result from five, I get negative one. What is my number? Write and solve an equation."

Solution:

Let the number be xx.
When doubled, it becomes 2x2x.
Subtracting 2x2x from 5 results in 1-1.

We write the equation:
52x=15 - 2x = -1

Now, solving the equation:
52x=15 - 2x = -1
2x=15-2x = -1 - 5
2x=6-2x = -6
x=62x = \frac{-6}{-2}
x=3x = 3

Final Answer:

The number is x=3x = 3.

Would you like a more detailed explanation of any step or related questions?


Here are 5 related questions to expand your understanding:

  1. What would happen if you change the subtraction operation to addition? How does the equation change?
  2. If the result was 2-2 instead of 1-1, how would the solution differ?
  3. Can this problem be solved graphically? If so, how would you graph 52x=15 - 2x = -1?
  4. What happens to the solution if the coefficient of xx is changed to another value, say 3x3x?
  5. How do you verify the solution x=3x = 3 to ensure it satisfies the original equation?

Tip: Always isolate the variable step by step to avoid errors in solving linear equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation solving: ax + b = c

Theorems

Inverse operations for solving linear equations

Suitable Grade Level

Grades 6-8