Question

For the given equation find two ordered pairs (a,b) that are solutions yo the equation 3x+2y=6

Answer 1

1) Set x=0, 2 and solve for y, as follows

`\begin{gathered} x=0 \\ \Rightarrow3(0)+2y=6 \\ \Rightarrow2y=6 \\ \Rightarrow y=3 \\ \Rightarrow(0,3) \\ x=2 \\ \Rightarrow3(2)+2y=6 \\ \Rightarrow6+2y=6 \\ \Rightarrow2y=0 \\ \Rightarrow y=0 \\ \Rightarrow(2,0) \end{gathered}`

Then, 2 ordered pairs are (0,3) and (2,0)

To draw the corresponding line on the plane, draw those two points and then a line that crosses both of them, as below