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 5 x plus 10. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis negative 1 comma 5 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.

y=5x+10


y=−2x+3


(1 point)
Responses

(5,−1)

(−1, 5)

(1, 5)

(−1,−5)

1 answer

To estimate the solution to the system of equations given by the lines \( y = 5x + 10 \) (solid line) and \( y = -2x + 3 \) (dotted line), we look for the point where the two lines intersect.

According to the description, the lines intersect at the point \( (-1, 5) \).

Thus, the correct response is:

(−1, 5).

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