.Solution
- The equation given to us is:
[tex]3x+6y=8[/tex]- The ordered pair (3, ?) must lie on the line represented by the equation above. This means that if we substitute x = 3 into the equation, we should get the corresponding y-value.
- Thus, we have:
[tex]\begin{gathered} 3x+6y=8 \\ put\text{ }x=3 \\ \\ 3(3)+6y=8 \\ 9+6y=8 \\ \text{ Subtract 9 from both sides} \\ 6y=8-9 \\ 6y=-1 \\ \\ \text{ Divide both sides by 6} \\ \frac{6y}{6}=-\frac{1}{6} \\ \\ \therefore y=-\frac{1}{6} \end{gathered}[/tex]Final Answer
The answer is
[tex]y=-\frac{1}{6}[/tex]