Is (
–
1,5) a solution to this system of equations?
17x+5y=8
14x+2y=
–
4
MathBot Answer:
True, $\left( -1, \ 5\right)$ is a solution of $17 x + 5 y = 8 \text{ and } 14 x + 2 y = -4$.
$$\begin{gathered}17 x + 5 y = 8\\17 \left(-1\right) + 5 \left(5\right) \stackrel{?}{=} 8\\8 = 8\end{gathered}$$$$\begin{gathered}14 x + 2 y = -4\\14 \left(-1\right) + 2 \left(5\right) \stackrel{?}{=} -4\\-4 = -4\end{gathered}$$