Pregunta
\begin{tabular}{|l|l} System B \\ \( y=5 x+8 \) \\ \( y=5 x+5 \)\end{tabular}\( \quad \begin{array}{l}\text { The system has no solution. } \\ \text { The system has a unique solution: } \\ (x, y)=(\square, \square) \\ \text { The system has infinitely many solutions. }\end{array} \)
Ask by Daniels Montgomery. in the United States
Feb 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The system has no solution.
Solución
We are given the system of equations:
y = 5x + 8
y = 5x + 5
Since both equations have the same slope (5) but different y-intercepts (8 and 5, respectively), the lines are parallel and never intersect. Therefore, the system has no solution.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
In this system, both equations are linear and have the same slope of 5, which means they are parallel lines. Since parallel lines never intersect, they will never have a solution. So, the correct answer is that the system has no solution. To visualize it, imagine two friends wanting to meet at a specific location based on their directions, but they are each on parallel paths that will never cross. So while they both follow their paths endlessly, neither meets the other. It’s a classic case of parallel universes in the math world!
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