Question

Determine whether each order pair is a solution of the equation

Answer 1

Answer:

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,

$-2+3y=6$

$3y=6+2$

$y=\frac{8}{3}$

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