Question

Consider the following equation:5x + 5y = 5Step 2 of 2: Determine if the given ordered pair, (5,-4), satisfies the given equation.

Answer 1

The equation is given to be:

`5x+5y=5`

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:

`\begin{gathered} x=5 \\ y=-4 \end{gathered}`

Substituting, we have:

`\begin{gathered} 5(5)+5(-4)=5 \\ 25-20=5 \\ 5=5 \end{gathered}`

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.