Is (7, 5) a solution to this system of inequalities?
16х - y > -16
14x - 10y ≥ -14
To determine if (7, 5) is a solution to the system of inequalities, we substitute the values of x = 7 and y = 5 into each inequality.
1) 16x - y > -16
16(7) - 5 > -16
112 - 5 > -16
107 > -16
The first inequality is true since 107 is greater than -16.
2) 14x - 10y ≥ -14
14(7) - 10(5) ≥ -14
98 - 50 ≥ -14
48 ≥ -14
The second inequality is also true since 48 is greater than -14.
Since (7, 5) satisfies both inequalities, it is indeed a solution to the system.