Solving Systems of Equations by Graphing Quick Check

Question

3 of 53 of 5 Items

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 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

A. (1, 5)
left parenthesis 1 comma 5 right parenthesis

B. (−1, 5)
left parenthesis negative 1 comma 5 right parenthesis

C. (−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis

D. (5,−1)

Answer 1

B. (-1, 5)
(left parenthesis -1, 5 right parenthesis)