Is (3,
–
4) a solution to this system of equations?
5x+2y=7
8x+5y=4
MathBot Answer:
True, $\left( 3, \ -4\right)$ is a solution of $5 x + 2 y = 7 \text{ and } 8 x + 5 y = 4$.
$$\begin{gathered}5 x + 2 y = 7\\5 \left(3\right) + 2 \left(-4\right) \stackrel{?}{=} 7\\7 = 7\end{gathered}$$$$\begin{gathered}8 x + 5 y = 4\\8 \left(3\right) + 5 \left(-4\right) \stackrel{?}{=} 4\\4 = 4\end{gathered}$$