Answer
The ordered pair is not the solution of the system.
Work Step by Step
Step 1: Check the order of pair \[\left( 8,5 \right)\]for the equation,\[5x-4y=20\].
Now, substitute \[x=8\]and \[y=5\]in the equation, then solve.
\[\begin{align}
& 5\times 8-4\times 5=20 \\
& 40-20=20 \\
& 20=20
\end{align}\]
From the above calculation,the left-hand and right-hand sides are equal. So, the order of pair satisfied this equation.
Step 2: Check the order of pair \[\left( 8,5 \right)\]for the equation,\[3y=2x+1\].
Now, substitute \[x=8\]and \[y=5\]in the equation, then solve.
\[\begin{align}
& 3\times 5=2\times 8+1 \\
& 15\ne 17 \\
\end{align}\]
From the above calculation,the left-hand and right-hand sides are not equal. So, the order of pair does not satisfy this equation.
Hence, the order of the pair \[\left( 8,5 \right)\]does not satisfy the system equations. So, the ordered pair is not the solution of the system.
The ordered pair is not the solution of the system.
