Is (1, 3) a solution to this system of inequalities? x + 4y ≤ 13 7x + 4y < 20

Answer 1

To determine if (1, 3) is a solution to the system of inequalities,x + 4y ≤ 13 and 7x + 4y < 20, we substitute the values of x and y into each inequality and verify if the statement is true.

1 + 4(3) ≤ 13
1 + 12 ≤ 13
13 ≤ 13

The inequality x + 4y ≤ 13 is true when (1, 3) is substituted.

7(1) + 4(3) < 20
7 + 12 < 20
19 < 20

The inequality 7x + 4y < 20 is also true when (1, 3) is substituted.

Therefore, (1, 3) is a solution to the system of inequalities.