You can put the value of m or s in the given equation of m and s to obtained the missing value.
The completed table would look like:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
Simplifying the relation between m and s:
[tex]2m + 4s = 16\\\\
\text{Dividing by 2 on both sides}\\\\
\dfrac{2m + 4s}{2} = \dfrac{16}{2}\\\\
m + 2s = 8[/tex]
How to evaluate the missing values?
Use one of the given value and the equation to find the missing value:
For m = 0:
[tex]m + 2s = 8\\
0 + 2s = 8\\
2s = 8\\\\
s = \dfrac{8}{2}\\\\
s = 4[/tex]
For s = 3:
[tex]m + 2s = 8\\
m + 2 \times 3 = 8\\
m = 8 - 6\\
m = 2[/tex]
For m = -2:
[tex]m + 2s = 8\\
-2 + 2s = 8\\
2s = 10\\
\\
s = \dfrac{10}{2} \\\\
s= 5[/tex]
For s= 0:
[tex]m + 2s = 8\\
m + 2 \times 0 = 8\\
m = 8[/tex]
Thus, the completed table would be:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
Learn more about linear equations here:
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