Problem

The table below shows values for $f(x, y)$, with $x$ values down the side and $y$ values across the top. Use the table to answer the questions that follow.
\begin{tabular}{|l|l|l|l|l|l|}
\hline $\mathbf{y}$ & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ \\
\hline $\mathbf{1}$ & -3 & 2 & 7 & 12 & 17 \\
\hline $\mathbf{2}$ & -8 & -3 & 2 & 7 & 12 \\
\hline $\mathbf{3}$ & -13 & -8 & -3 & 2 & 7 \\
\hline $\mathbf{4}$ & -18 & -13 & -8 & -3 & 2 \\
\hline $\mathbf{5}$ & -23 & -18 & -13 & -8 & -3 \\
\hline
\end{tabular}
A) For which value of $x$ is $f(x, 5)=2$ ?
\[
x=
\]
B) Which $y$ value makes $f(4, y)=-18$ ?
\[
y=
\]

Answer

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Answer

So, the final answers are $x=\boxed{4}$ and $y=\boxed{2}$.

Steps

Step 1 :The table shows values for $f(x, y)$, with $x$ values down the side and $y$ values across the top.

Step 2 :For the first question, we need to find the value of $x$ such that $f(x, 5)=2$. This means we need to look at the column where $y=5$ and find the row where the value is 2.

Step 3 :For the second question, we need to find the value of $y$ such that $f(4, y)=-18$. This means we need to look at the row where $x=4$ and find the column where the value is -18.

Step 4 :For the first question, the value of $x$ for which $f(x, 5)=2$ is $x=4$.

Step 5 :For the second question, the value of $y$ for which $f(4, y)=-18$ is $y=2$.

Step 6 :So, the final answers are $x=\boxed{4}$ and $y=\boxed{2}$.

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