Consider the equation
[tex]-10x-y=-20[/tex]
1) First row of the table
Set x=0 and solve as follows:
[tex]\begin{gathered} -10(0)-y=-20 \\ \Rightarrow-y=-20 \\ \Rightarrow y=20 \end{gathered}[/tex]
The answer is y=20 and the pair x-y is (0,20)
2) Second row
Set x=1 and solve, as follows:
[tex]\begin{gathered} -10(1)-y=-20 \\ \Rightarrow-10-y=-20 \\ \Rightarrow-y=-10 \\ \Rightarrow y=10 \end{gathered}[/tex]
The answers are y=10 and (1,10)
3) Third row.
Set y=0 and solve as follows:
[tex]\begin{gathered} -10x-(0)=-20 \\ \Rightarrow-10x=-20 \\ \Rightarrow x=\frac{20}{10}=2 \\ \Rightarrow x=2 \end{gathered}[/tex]
The answers are x=2 and (2,0)
