Is (–8, –6) a solution to this system of inequalities?
15x − 14y < 9
y ≤ –5
MathBot Answer:
True, $\left( -8, \ -6\right)$ is a solution of $15 x - 14 y \lt 9 \text{ and } y \leq -5$.
$$\begin{gathered}15 x - 14 y \lt 9\\15 \left(-8\right) - 14 \left(-6\right) \stackrel{?}{\lt} 9\\-36 \lt 9\end{gathered}$$$$\begin{gathered}y \leq -5\\- 6 \stackrel{?}{\le} -5\\-6 \le -5\end{gathered}$$