Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x axis extending from negative 10 to 10 in increments of 1 and the y axis extending from negative 5 to 15 in increments of 1. A solid line and a dotted line with arrows at both ends intersect each other. The equation of the solid line is y equals one half x plus 6. The equation of the dotted line is y equals 2 x plus 3. The lines intersect at left parenthesis 2 comma 7 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=12x+6

1 answer

Based on the graph, the lines representing the equations y=2x+3 and y=12x+6 are not parallel and intersect at a point. The estimated solution to the system of these linear equations based on the graph would be x = 2 and y = 7, which is the point of intersection.
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