Certainly! Let's solve the problem step by step to find the missing values in the ordered pair [tex]\((4, y)\)[/tex] for the given equation [tex]\( y = 2x - 3 \)[/tex].
1. Identify the given values and the equation:
- We have [tex]\( x = 4 \)[/tex].
- The equation provided is [tex]\( y = 2x - 3 \)[/tex].
2. Substitute [tex]\( x = 4 \)[/tex] into the equation to find [tex]\( y \)[/tex]:
[tex]\[
y = 2(4) - 3
\][/tex]
3. Perform the multiplication first:
[tex]\[
y = 8 - 3
\][/tex]
4. Subtract [tex]\( 3 \)[/tex] from [tex]\( 8 \)[/tex]:
[tex]\[
y = 5
\][/tex]
5. The ordered pair [tex]\((4, y)\)[/tex] is now [tex]\((4, 5)\)[/tex].
Therefore, the complete ordered pair that satisfies the equation [tex]\( y = 2x - 3 \)[/tex] when [tex]\( x = 4 \)[/tex] is [tex]\((4, 5)\)[/tex].
To summarize, here is the completed table with the ordered pair:
\begin{tabular}{|l|l|}
\hline[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline[tex]$4$[/tex] & [tex]$5$[/tex] \\
\hline
\end{tabular}
