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