text: # How do you solve 4x+y=13 and 2x-y=5?
  
  Aug 1, 2015
  
  Add the 2 equations together to get a third equation with the $y$ term eliminated; solve for $x$; replace $x$ in one of the given equations with the solution to find $y$
  $\left(x , y\right) = \left(3 , 1\right)$
  
  #### Explanation:
  
  [1]$\textcolor{w h i t e}{\text{XXXX}}$$4 x + y = 13$
  [2]$\textcolor{w h i t e}{\text{XXXX}}$$2 x - y = 5$
  
  [3]$\textcolor{w h i t e}{\text{XXXX}}$$6 x = 18$
  
  Divide both sides by $6$
  [4]$\textcolor{w h i t e}{\text{XXXX}}$$x = 3$
  
  Substitute $3$ for $x$ in [1]
  [5]$\textcolor{w h i t e}{\text{XXXX}}$$4 \left(3\right) + y = 13$
  
  Simplify
  [6]$\textcolor{w h i t e}{\text{XXXX}}$$12 + y = 13$
  
  Subtract $12$ from both sides
  [7]$\textcolor{w h i t e}{\text{XXXX}}$$y = 1$
explanation: The document contains a math question and a detailed step-by-step answer to the question.
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: # How do you solve 4x+y=13 and 2x-y=5?
  
  Aug 1, 2015
  
  Add the 2 equations together to get a third equation with the $y$ term eliminated; solve for $x$; replace $x$ in one of the given equations with the solution to find $y$
  $\left(x , y\right) = \left(3 , 1\right)$
  
  #### Explanation:
  
  [1]$\textcolor{w h i t e}{\text{XXXX}}$$4 x + y = 13$
  [2]$\textcolor{w h i t e}{\text{XXXX}}$$2 x - y = 5$
  
  [3]$\textcolor{w h i t e}{\text{XXXX}}$$6 x = 18$
  
  Divide both sides by $6$
  [4]$\textcolor{w h i t e}{\text{XXXX}}$$x = 3$
  
  Substitute $3$ for $x$ in [1]
  [5]$\textcolor{w h i t e}{\text{XXXX}}$$4 \left(3\right) + y = 13$
  
  Simplify
  [6]$\textcolor{w h i t e}{\text{XXXX}}$$12 + y = 13$
  
  Subtract $12$ from both sides
  [7]$\textcolor{w h i t e}{\text{XXXX}}$$y = 1$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed step-by-step answer to the question.
  
  Label: question-and-answer