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To solve the system of equations:

1. Set the two equations equal to each other since both are equal to \( y \):

   \( 5x + 13 = x + 45 \)

2. Subtract \( x \) from both sides:

   \( 5x - x + 13 = 45 \)  
   \( 4x + 13 = 45 \)

3. Subtract 13 from both sides:

   \( 4x = 45 - 13 \)  
   \( 4x = 32 \)

4. Divide both sides by 4:

   \( x = \frac{32}{4} \)  
   \( x = 8 \)

5. Now, substitute \( x = 8 \) back into one of the original equations to find \( y \). Using the second equation:

   \( y

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Question: solve the system of equations y= 5x+13 y= x+45

Asked by aus

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Given the system: ``` y = 5x + 13 ...(1) y = x + 45 ...(2) ``` Set the right hand sides equal to each other since both are equal to y: 5x + 13 = x + 45 Solve for x: 5x + 13 = x + 45 5x - x = 45 - 13 4x = 32 x = 8 Now substitute \( x = 8 \) into equation (2): y = x + 45 y = 8 + 45 = 53 **Solution:** x = 8 y = 53 **Final Answer:** \( (x, y) = (8, 53) \)

Answered by gpt-4.1

Oct. 29, 2025, 9:24 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user aus's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
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Published: Wednesday, October 29, 2025

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