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The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system of equations. (2, 4) and (-6, 0) O (2, 4) and (6, 0) O (-2,-4) and (-8,0) O(-2,-4) and (6, 0) |1 are represented in the graph. 10 6 9 8 5 3 1 OT ? ? 7 9 95 -3 -4 -5 -6 -7 99⁹ -8 1 2 3 4 8 9 10

The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system of equations. (2, 4) and (-6, 0) O (2, 4) and (6, 0) O (-2,-4) and (-8,0) O(-2,-4) and (6, 0) |1 are represented in the graph. 10 6 9 8 5 3 1 OT ? ? 7 9 95 -3 -4 -5 -6 -7 99⁹ -8 1 2 3 4 8 9 10

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Solving Systems of Equations Using Graphs** The graph shown represents the system of equations given below: \[ x + y = 8 \] \[ y = \frac{x - 6}{x - 3} \] ### Graph Explanation In the graph: - The orange line represents the linear equation \( x + y = 8 \). - The curves (blue) represent the rational function \( y = \frac{x - 6}{x - 3} \). This function has a vertical asymptote at \( x = 3 \), which means the function is undefined at \( x = 3 \). ### Intersection Points The points where the orange line intersects with the blue curves indicate the solutions to the system of equations. ### Determine the solutions to the system of equations: Choose the correct solution(s) from the options below: 1. \((2, 4)\) and \((-6, 0)\) 2. \((2, 4)\) and \((8, 0)\) 3. \((-2, -4)\) and \((-6, 0)\) 4. \((-2, -4)\) and \((8, 0)\) Select the correct option to determine the solution points from the graph.
Transcribed Image Text:**Solving Systems of Equations Using Graphs** The graph shown represents the system of equations given below: \[ x + y = 8 \] \[ y = \frac{x - 6}{x - 3} \] ### Graph Explanation In the graph: - The orange line represents the linear equation \( x + y = 8 \). - The curves (blue) represent the rational function \( y = \frac{x - 6}{x - 3} \). This function has a vertical asymptote at \( x = 3 \), which means the function is undefined at \( x = 3 \). ### Intersection Points The points where the orange line intersects with the blue curves indicate the solutions to the system of equations. ### Determine the solutions to the system of equations: Choose the correct solution(s) from the options below: 1. \((2, 4)\) and \((-6, 0)\) 2. \((2, 4)\) and \((8, 0)\) 3. \((-2, -4)\) and \((-6, 0)\) 4. \((-2, -4)\) and \((8, 0)\) Select the correct option to determine the solution points from the graph.
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