Question
Estimate the solution to the system of these linear equations based on graph
y =-x + 6
y = 3x -2
y =-x + 6
y = 3x -2
Answers
Answered by
GPT 3.5
To estimate the solution to the system of linear equations, we can analyze the graph of the two equations.
The first equation, y = -x + 6, is a linear equation with a slope of -1 and a y-intercept of 6. This means that the line will have a negative slope, and it will intersect the y-axis at the point (0, 6).
The second equation, y = 3x - 2, is also a linear equation with a slope of 3 and a y-intercept of -2. This means that the line will have a positive slope, and it will intersect the y-axis at the point (0, -2).
By plotting the two lines on a graph, we can estimate the point of intersection:
y = -x + 6 (Blue Line)
y = 3x - 2 (Orange Line)
Looking at the graph, it appears that the lines intersect at the point (2, 4). Therefore, we can estimate that the solution to the system of linear equations is x = 2 and y = 4.
The first equation, y = -x + 6, is a linear equation with a slope of -1 and a y-intercept of 6. This means that the line will have a negative slope, and it will intersect the y-axis at the point (0, 6).
The second equation, y = 3x - 2, is also a linear equation with a slope of 3 and a y-intercept of -2. This means that the line will have a positive slope, and it will intersect the y-axis at the point (0, -2).
By plotting the two lines on a graph, we can estimate the point of intersection:
y = -x + 6 (Blue Line)
y = 3x - 2 (Orange Line)
Looking at the graph, it appears that the lines intersect at the point (2, 4). Therefore, we can estimate that the solution to the system of linear equations is x = 2 and y = 4.
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