Use the image to answer the question.

A solid line and a dotted line intersect on a coordinate plane. The values on the x-axis range from negative 5 to 5 in increments of 1. The values on the y-axis range from 0 to 30 in increments of 2. Both lines begin in quadrant 2 sloping downward from left to right and descend through quadrant 1. The solid line passes through left parenthesis negative 5 comma 28 right parenthesis, left parenthesis 0 comma 18 right parenthesis, left parenthesis 3 comma 12 right parenthesis, and left parenthesis 5 comma 8 right parenthesis. The dotted line passes through left parenthesis negative 4 comma 24 right parenthesis, left parenthesis 0 comma 20 right parenthesis, left parenthesis 2 comma 18 right parenthesis, and left parenthesis 4 comma 16 right parenthesis. The solid line and the dotted line intersect at left parenthesis negative 2 comma 22 right parenthesis.

A farm has 20 animals; some are horses and some are chickens. Altogether, there are 36 legs. If x represents the number of horses and y represents the number of chickens, what coordinate pair represents how many of each animal is on the farm? Use the graph of the system of equations to determine the solution.

y=−x+20

y=−2x+18

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1 answer

The coordinate pair that represents how many horses and chickens are on the farm is (6, 14).
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