Math Problem Statement

Solve the equation 7 - 3x = -x + 1.

Solution

PIL import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/173697011361279dgry8d.jpg" image = Image.open(image_path)

Use OCR to extract text from the image

extracted_text = pytesseract.image_to_string(image) extracted_text.strip()The OCR extraction appears to be incorrect due to unclear text recognition. I will refine the process to correctly interpret the mathematical equation in the image. Let me reprocess it for accuracy. Enhance image clarity for better OCR results from PIL import ImageEnhance

Enhance the contrast and brightness of the image

enhancer = ImageEnhance.Contrast(image) enhanced_image = enhancer.enhance(2) # Increase contrast

Reattempt OCR on the enhanced image

improved_text = pytesseract.image_to_string(enhanced_image) improved_text.strip()It seems the OCR is still struggling to extract the text accurately due to the quality or formatting of the image. Based on the visual inspection of the uploaded image, the equation appears to be:

73x=x+17 - 3x = -x + 1

I will solve this equation.### Solve 73x=x+17 - 3x = -x + 1

  1. Simplify the equation by bringing all terms involving xx to one side: 73x+x=17 - 3x + x = 1

    Combine like terms: 72x=17 - 2x = 1

  2. Isolate xx by subtracting 7 from both sides: 2x=17-2x = 1 - 7

    Simplify: 2x=6-2x = -6

  3. Solve for xx by dividing both sides by 2-2: x=62=3x = \frac{-6}{-2} = 3

Final Solution:

x=3x = 3

Would you like a step-by-step breakdown or any clarification?


Relative Questions:

  1. How can you verify the solution x=3x = 3 by substituting it back into the original equation?
  2. What happens if you rearrange the terms differently at the start? Does it affect the solution process?
  3. Why is dividing by a negative number significant in solving equations?
  4. Can this equation be solved graphically, and what would the solution represent?
  5. What are the general rules for isolating variables in linear equations?

Tip:

Always double-check your solution by substituting it back into the original equation to ensure it satisfies all terms.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation manipulation

Theorems

Properties of equality

Suitable Grade Level

Grades 8-10