Is (4, 7) a solution to this system of inequalities?
3x + y > 19
3х + 9y > 16
To determine if (4, 7) is a solution to the system of inequalities, we need to substitute the values of x and y into both inequalities and see if the inequalities hold true.
Substitute x = 4 and y = 7 into the first inequality:
3(4) + 7 > 19
12 + 7 > 19
19 > 19
Since 19 is not greater than 19, this inequality is not true for (4, 7).
Now, substitute x = 4 and y = 7 into the second inequality:
3(4) + 9(7) > 16
12 + 63 > 16
75 > 16
Since 75 is greater than 16, this inequality is true for (4, 7).
Therefore, (4, 7) is a solution to the second inequality, but not a solution to the first inequality.