Question

Did the table below to find the solutions to the linear equation 9 + y=-18

Answer 1

First, to complete the table in the x column, replace y = 0 in the given function

`\begin{gathered} 9x+y=-18 \\ 9x+0=-18 \\ 9x=-18 \\ \text{ Divide by 9 into both sides of the equation} \\ (9x)/(9)=(-18)/(9) \\ x=-2 \end{gathered}`

Now, to complete the table in the x column, replace x = 0 and x = 2 in the given function

`\begin{gathered} 9x+y=-18 \\ 9(0)+y=-18 \\ 0+y=-18 \\ y=-18 \end{gathered}`
`\begin{gathered} 9x+y=-18 \\ 9(2)+y=-18 \\ 18+y=-18 \\ \text{ Subtract 18 from both sides of the equation} \\ 18+y-18=-18-18 \\ y=-36 \end{gathered}`

Finally, complete the third column of the table with the ordered pairs, that is

`\begin{gathered} (0,-18) \\ (2,-36) \\ (-2,0) \end{gathered}`

Therefore, the table would look like this