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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 10 to 10 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 3 x minus 2. The equation of the dotted line is y equals negative x plus 6. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.
y=−x+6
y=3x−2
(1 point)
1 answer
To estimate the solution to the system of equations represented by the lines \( y = -x + 6 \) and \( y = 3x - 2 \), we can analyze where the two lines intersect.
From the information given, the lines intersect at the point \( (2, 4) \).
So, the estimated solution to the system of linear equations is:
\(\boxed{(2, 4)}\)
