To determine the value of \( a \), let's use the given information that the point \((a, 3)\) lies on the graph of the equation:
[tex]\[ 5x + y = 8 \][/tex]
Given that the y-coordinate of the point is \( 3 \), we can substitute \( y = 3 \) into the equation. This gives us:
[tex]\[ 5x + 3 = 8 \][/tex]
Now, we need to solve for \( x \). Follow these steps:
1. Subtract 3 from both sides of the equation to isolate the term containing \( x \):
[tex]\[ 5x + 3 - 3 = 8 - 3 \][/tex]
Which simplifies to:
[tex]\[ 5x = 5 \][/tex]
2. Divide both sides of the equation by 5 to solve for \( x \):
[tex]\[ x = \frac{5}{5} \][/tex]
[tex]\[ x = 1 \][/tex]
Thus, the value of \( a \) is \( 1 \).
Therefore, [tex]\( a = 1 \)[/tex].
