Answer
$(1400,450)$ is a solution of the system.
Work Step by Step
An ordered pair is a solution to the system if it satisfies both equatons:
$ \begin{array}{lllll}
(1400)-2(450) & =500 & .... & 0.003(1400)+0.02(450) & =51\\
1400-900 & =500 & & 42+9 & =51\\
500 & =500 & & 51 & =51\\
TRUE & & & TRUE &
\end{array} $
$(1400,450)$ is a solution of the system.
