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
(−1, 5)
left parenthesis negative 1 comma 5 right parenthesis
(1, 5)
left parenthesis 1 comma 5 right parenthesis
(5,−1)
left parenthesis 5 comma negative 1 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
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1 answer
Based on the provided information about the equations of the lines and their intersection point, the solution to the system of equations \( y = 5x + 10 \) and \( y = -2x + 3 \) can be found at the point where the two lines intersect. According to the description, the lines intersect at the point \( (-1, 5) \).
Therefore, the estimated solution to the system of these linear equations is:
(−1, 5) (left parenthesis negative 1 comma 5 right parenthesis).
