Question

3x+6y=8 Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation

Answer 1

.Solution

- The equation given to us is:

`3x+6y=8`

- 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:

`\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} \\ (6y)/(6)=-(1)/(6) \\ \\ \therefore y=-(1)/(6) \end{gathered}`

Final Answer

The answer is

`y=-(1)/(6)`