Math Problem Statement

solve all in a orderd list without the steps to solve just the answers

Solve all the systems of equations in an ordered list without the steps, just the answers.

Solution

from PIL import Image import pytesseract

Load the uploaded image to extract text

image_path = '/mnt/data/1731901635904cldy22sf.jpg' extracted_text = pytesseract.image_to_string(Image.open(image_path))

extracted_text'Solve each system of equations using the substitution method and find the point of intersection (x,y)\n‘You may nee to salve some equations so they ae written ia » me B form first Keep any rations a\n-roper or impropee fom (do not write any mixed mumbo!)\n\n@ «rs\n\n@\n\nayn\n©\n\nxy 3\n\n@ vr\n\nDeve\n\nseyr$\nSe=3y=17\n''Solve each system of equations using the substitution method and find the point of intersection (x,y)\n‘You may nee to salve some equations so they ae written ia » me B form first Keep any rations a\n-roper or impropee fom (do not write any mixed mumbo!)\n\n@ «rs\n\n@\n\nayn\n©\n\nxy 3\n\n@ vr\n\nDeve\n\nseyr$\nSe=3y=17\n'successThe text extracted from the image is incomplete or unclear. I will manually analyze and solve the systems of equations from the provided image for you.

Solutions:

  1. y+x=8y + x = 8 and x+2y=7-x + 2y = 7: (x,y)=(3,5)(x, y) = (3, 5)
  2. 3y+2x=63y + 2x = 6 and x2y=3x - 2y = 3: (x,y)=(3,0)(x, y) = (-3, 0)
  3. 2x+3y=12x + 3y = -1 and 3x+5y=23x + 5y = -2: (x,y)=(1,1)(x, y) = (-1, 1)
  4. 2x3y=112x - 3y = 11 and x+6y=8-x + 6y = 8: (x,y)=(10,3)(x, y) = (10, 3)
  5. 3x5y=133x - 5y = -13 and xy=3x - y = -3: (x,y)=(4,1)(x, y) = (-4, -1)
  6. x+3y=19x + 3y = 19 and y=x+1y = -x + 1: (x,y)=(4,5)(x, y) = (4, 5)
  7. 8xy=48x - y = -4 and 4x+y=324x + y = -32: (x,y)=(4,16)(x, y) = (-4, -16)
  8. xy=3x - y = 3 and x+y=7x + y = -7: (x,y)=(2,5)(x, y) = (-2, -5)
  9. x+y=5x + y = 5 and 5x3y=175x - 3y = 17: (x,y)=(4,1)(x, y) = (4, 1)
  10. xy=8-x - y = 8 and 2xy=12x - y = -1: (x,y)=(3,5)(x, y) = (-3, -5)

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Linear Equations

Formulas

y = mx + b (slope-intercept form)
Substitution method

Theorems

Linear equations intersection theorem

Suitable Grade Level

Grades 8-10