Question

consider the equationy=2x+6which of the following ordered pairs are solutions to the given equation? there may be more than one answer.A) (0,8)B) (-4, -2)C) (9,20)D) (-7, -8)

Answer 1

Notice that if x = -7,-4,0,9, we have the following:

`\begin{gathered} x=-7\Rightarrow y=2(-7)+6=-14+6=-8 \\ (-7,-8)\text{ is a solution} \\ x=-4\Rightarrow y=2(-4)+6=-8+6=-2 \\ (-4,-2)\text{ is a solution} \\ x=0\Rightarrow y=6 \\ (0,6) \\ x=9\Rightarrow y=2(9)+6=18+6=24 \\ (9,24) \end{gathered}`

therefore, only B and D are solutions to the given equation