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Question: solve the system of equations y=5x+9 y= 8x-6
Asked by aus
Let's solve the system of equations: 1. \( y = 5x + 9 \) 2. \( y = 8x - 6 \) Since both expressions are equal to \( y \), set them equal to each other: \[ 5x + 9 = 8x - 6 \] Now, solve for \( x \): First, subtract \( 5x \) from both sides: \[ 9 = 3x - 6 \] Next, add \( 6 \) to both sides: \[ 15 = 3x \] Now, divide both sides by \( 3 \): \[ x = 5 \] Now substitute \( x = 5 \) back into one of the original equations to find \( y \): Using \( y = 5x + 9 \): \[ y = 5(5) + 9 = 25 + 9 = 34 \] **Final Answer:** \[ \boxed{x = 5, \ y = 34} \] The solution to the system is \( (5, 34) \).
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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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