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Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals 5 x minus 4. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis 1 comma 1 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.
y=−2x+3
y=5x−4 (1 point)
Responses
(−1, 1)
left parenthesis negative 1 comma 1 right parenthesis
(1, 1)
left parenthesis 1 comma 1 right parenthesis
(−1,−1)
left parenthesis negative 1 comma negative 1 right parenthesis
(1,−1)
left parenthesis 1 comma negative 1 right parenthesis
Remaining Attempts : 3
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1 answer
To estimate the solution to the given system of linear equations based on the graph:
The equations are:
The lines are shown to intersect at the point \((1, 1)\).
Since this is the point where both equations equal each other, the solution to the system of equations is that point.
Among the provided options:
The correct response is: (1, 1)
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