Question

is (5, -9) a solution to the inequality 15x + 2y > 9? yes no

Explanation:

Step1: Substitute x and y values

Substitute \( x = 5 \) and \( y = -9 \) into the inequality \( 15x + 2y > 9 \).

$$ 15(5) + 2(-9) $$

Step2: Calculate the left - hand side

First, calculate \( 15\times5 = 75 \) and \( 2\times(-9)=-18 \). Then, add these two results together:

$$ 75-18 = 57 $$

Step3: Compare with 9

We have \( 57>9 \), which means that when \( x = 5 \) and \( y=-9 \), the inequality \( 15x + 2y>9 \) holds.

Answer:

yes