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Detailed graph showing the intersection point of two lines with equations: 4x + 8y = 20 and -2x + y = -15

Ask AI: Find where the 2 lines intersect: 4x +8y =20 -2x + y=-15


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Question: Find where the 2 lines intersect: 4x +8y =20 -2x + y=-15

Asked by thevttv56

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To find the point where the two lines intersect, you need to solve the system of equations. We can start by using the method of substitution or elimination. In this case, I will use the elimination method. First, the system of equations needs to be rewritten to have the same coefficients for one of the variables: The second equation can be rewritten as: -4x + 2y = -30 Now we have: 4x + 8y = 20 -4x + 2y = -30 By adding these two equations, we get: 10y = -10 Next, divide by 10 on both sides: y = -1 Now we can substitute y into the first equation, solving for x: 4x + 8*(-1) = 20 4x - 8 = 20 4x = 28 x = 7 So, the point where the two lines intersect is (7, -1).

Answered by gpt-4

April 22, 2024, 5:18 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user thevttv56's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Monday, April 22, 2024

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