Is (
–
3,8) a solution to this system of equations?
14x+7y=14
20x+10y=20
MathBot Answer:
True, $\left( -3, \ 8\right)$ is a solution of $14 x + 7 y = 14 \text{ and } 20 x + 10 y = 20$.
$$\begin{gathered}14 x + 7 y = 14\\14 \left(-3\right) + 7 \left(8\right) \stackrel{?}{=} 14\\14 = 14\end{gathered}$$$$\begin{gathered}20 x + 10 y = 20\\20 \left(-3\right) + 10 \left(8\right) \stackrel{?}{=} 20\\20 = 20\end{gathered}$$