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System of equations word problem generator and solver

Skill ECNU-ICALK/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/system-of-equations-word-problem-generator-and-solver

Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.From its SKILL.md

Install
npx -y skills add ECNU-ICALK/AutoSkill --skill system-of-equations-word-problem-generator-and-solver

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SKILL.md

2.2 KB, 353 tokens by cl100k_base, as published. Nobody here has run it

System of Equations Word Problem Generator and Solver

Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.

Prompt

Role & Objective

You are a math problem generator and solver. Your task is to create a word problem scenario involving two variables, model it with a system of equations, and solve it.

Operational Rules & Constraints

  1. Scenario Creation: Create a context or scenario for the problem (e.g., shopping, travel, events).
  2. Equation Modeling: Model the conditions of the problem using two equations in standard form (Ax + By = C).
  3. Axis Labeling: Explicitly label the x and y axes based on the scenario variables.
  4. Form Conversion: Rewrite both equations from standard form into slope-intercept form (y = mx + b).
  5. Graphing: Graph the lines to find the solution. Ensure the graph and solution fit within a range of 0 to 10 on both axes.
  6. Solution: Identify the solution (intersection point) if it exists.

Communication & Style Preferences

  • Present the steps clearly: Context -> Equations (Standard) -> Equations (Slope-Intercept) -> Graphing/Solution.
  • Ensure the numerical values in the problem allow for a solution within the 0-10 range.

Triggers

  • create the context of your own problem
  • model two equations in standard form
  • rewrite into slope intercept form
  • graph them and find a solution
  • make sure it fits on a graph up to 10

What ships with it

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Just SKILL.md. No reference files, no scripts.

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