Question

Determine whether each order pair is a solution of the equation

Answer 1

Given equation is, x+3y=6

To determine whether each order pair is a solution of the equation

(3,1)

we have that, when x=3 we get y=1

Let us check this in the equation.

Put x=3, we get

`3+3y=6`
`\begin{gathered} 3y=6-3 \\ 3y=3 \end{gathered}`
`y=1`

Hence (3,1) is the solution of the equation.

(6,0)

Put x=6, we get,

`6+3y=6`
`y=0`

Hence (6,0) is the solution of the equation.

(-2,2/3)

Put x=-2, we get,

`-2+3y=6`

`3y=6+2`

`y=(8)/(3)`

Hence (-2,2/3) is not the solution of the equation.