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 negative 1 comma 1 right parenthesis
(−1,−1)
left parenthesis negative 1 comma negative 1 right parenthesis
(1, 1)
left parenthesis 1 comma 1 right parenthesis
(1,−1)
1 answer
The solution to the system of equations given is the point where the two lines intersect. According to the information provided, the solid line with the equation \( y = 5x - 4 \) and the dotted line with the equation \( y = -2x + 3 \) intersect at the point \( (1, 1) \).
Thus, the correct response is:
(1, 1)
left parenthesis 1 comma 1 right parenthesis
