The equation is given to be:
[tex]5x+5y=5[/tex]
To check if the ordered pair satisfies the equation, we need to substitute the values into the equation. If it yields a mathematically true solution, then the pair satisfies the equation.
The ordered pair is (5, -4).
Make the following substitution:
[tex]\begin{gathered} x=5 \\ y=-4 \end{gathered}[/tex]
Substituting, we have:
[tex]\begin{gathered} 5(5)+5(-4)=5 \\ 25-20=5 \\ 5=5 \end{gathered}[/tex]
Since the mathematical expression is true, then this satisfies the equation and the ordered pair is a solution to the equation.
The correct option is YES.
