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Question: solve the system of equations y= 5x+13 y= x+45
Asked by aus
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:** \( (x, y) = (8, 53) \)
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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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