Use the image to answer the question.
Four points and two intersecting lines are plotted on a coordinate plane. The x-axis ranges from negative 15 to 15 in unit increments, labeled at every 5. The y-axis ranges from negative 10 to 10 in unit increments, labeled at every 5.
Which of the points on the graph is a solution to the simultaneous inequalities y≤14x+2
and y>12x+3
? Enter the x-value followed by the y-value.
(1 point)
(
,
)
Based on the graph and the given inequalities, we need to find the point that lies below the line y = 14x + 2 and above the line y > 12x + 3.
Looking at the graph, the point that satisfies both inequalities is (0, 3), where the x-value is 0 and the y-value is 3.
Therefore, the solution to the simultaneous inequalities y≤14x+2 and y>12x+3 is (0, 3).