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.

Question

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)
left parenthesis 5 comma negative 1 right parenthesis

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

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

(−1, 5)

Answer 1

The solution to the system of equations is the point where the two lines intersect. According to your description, the solid line represented by the equation \(y = 5x + 10\) and the dotted line represented by \(y = -2x + 3\) intersect at the point \((-1, 5)\).

Given the options provided:

1. (5, -1)
2. (-1, -5)
3. (1, 5)
4. (-1, 5)

The correct response is:

(-1, 5)