One possible solution to this system of linear inequalities is (15, 10), which means 15 dimes and 10 nickels.
In order to graphically determine the solution for this system of linear inequalities on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear inequalities, while taking note of the point of intersection.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Since Bilquis has x dimes and y nickels that are at least 15 coins and worth no more than $1 combined, a system of linear inequalities to model the situation can be written as follows;
x + y ≥ 15 ......equation 1.
0.10d + 0.05y ≤ 1. ......equation 2.
Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear inequalities is any of the points in the shaded region for the intersection of each lines on the graph that represents them, which is represented by this ordered pair (15, 10) in quadrant I.