text: # solve and check x + y = -2; y = 4x - 7
  
  solve for y and x intercepts.
  
  Substitution Method :
  
  The system of equations are x + y = - 2 and y = 4x - 7.
  
  Step 1 : The equation 2 : y = 4x - 7 is already solved for y.
  
  Step 2 : Substitute 4x - 7 for y in the equation 1 : x + y = - 2 to find the value of x.
  
  x + (4x - 7) = - 2
  
  5x - 7 = - 2
  
  5x - 7 + 7 = - 2 + 7
  
  5x = 5
  
  Divide each side by 5.
  
  5x/5 = 5/5
  
  x = 1.
  
  Step 3 : Substitute 1 for x in either equation to find y.
  
  Equation 2 : y = 4x - 7
  
  y = 4(1) - 7
  
  y = - 3.
  
  The solution (x, y) = (1, - 3).
  
  CHECK :
  
  To check the solution, substitute (x, y) = (1, - 3) in each original equation.
  
  Equation 1 : x + y = - 2     |   Equation 2 : y = 4x - 7
  
  (1) + (- 3) ≟ - 2    |                 (- 3) ≟ 4(1) - 7
  
  - 2 = - 2    |                     - 3 = - 3
explanation: The document contains a math problem and its solution. It starts with a system of equations and asks to solve for the variables and check the solution. The document then provides a step-by-step solution using the substitution method and verifies the solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # solve and check x + y = -2; y = 4x - 7
  
  solve for y and x intercepts.
  
  Substitution Method :
  
  The system of equations are x + y = - 2 and y = 4x - 7.
  
  Step 1 : The equation 2 : y = 4x - 7 is already solved for y.
  
  Step 2 : Substitute 4x - 7 for y in the equation 1 : x + y = - 2 to find the value of x.
  
  x + (4x - 7) = - 2
  
  5x - 7 = - 2
  
  5x - 7 + 7 = - 2 + 7
  
  5x = 5
  
  Divide each side by 5.
  
  5x/5 = 5/5
  
  x = 1.
  
  Step 3 : Substitute 1 for x in either equation to find y.
  
  Equation 2 : y = 4x - 7
  
  y = 4(1) - 7
  
  y = - 3.
  
  The solution (x, y) = (1, - 3).
  
  CHECK :
  
  To check the solution, substitute (x, y) = (1, - 3) in each original equation.
  
  Equation 1 : x + y = - 2     |   Equation 2 : y = 4x - 7
  
  (1) + (- 3) ≟ - 2    |                 (- 3) ≟ 4(1) - 7
  
  - 2 = - 2    |                     - 3 = - 3
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem and its solution. It starts with a system of equations and asks to solve for the variables and check the solution. The document then provides a step-by-step solution using the substitution method and verifies the solution.
  
  Label: question-and-answer