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 5 to 5 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 minus 4. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis 1 comma 1 right parenthesis which is not plotted as a point.

Estimate the solution to the system of these linear equations based on the graph.

y=−2x+3

y=5x−4
(1 point)
Responses

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

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

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

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

The solution to the system of equations \( y = -2x + 3 \) and \( y = 5x - 4 \) is the point where the two lines intersect.

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

Therefore, the correct response is:

(1, 1)

So the answer is \( \text{left parenthesis 1 comma 1 right parenthesis} \).