Is (–8, –9) a solution to this system of inequalities?
15x − 15y ≤ 15
15x − 2y < –16
MathBot Answer:
True, $\left( -8, \ -9\right)$ is a solution of $15 x - 15 y \leq 15 \text{ and } 15 x - 2 y \lt -16$.
$$\begin{gathered}15 x - 15 y \leq 15\\15 \left(-8\right) - 15 \left(-9\right) \stackrel{?}{\le} 15\\15 \le 15\end{gathered}$$$$\begin{gathered}15 x - 2 y \lt -16\\15 \left(-8\right) - 2 \left(-9\right) \stackrel{?}{\lt} -16\\-102 \lt -16\end{gathered}$$