Answer :
Given:
y = -6x - 5; x = 4
To determine an ordered pair solution to the equation using the value given for x, we plug in x = 4 into y = -6x - 5. So,
[tex]\begin{gathered} y=-6x-5 \\ y=-6(4)-5 \\ \text{Simplify} \\ y=-24-5 \\ y=-29 \end{gathered}[/tex]To double check this, we plug in x=4 and y=-29 into y = -6x - 5:
[tex]\begin{gathered} y=-6x-5 \\ -29=-6(4)-5 \\ \text{Simplify} \\ -29=-29 \end{gathered}[/tex]Therefore, the ordered pair is (4,-29).