Question

Need help please. Thanks so much.

Answer 1

`(-1,(17)/(6))`

`(3,(3)/(2))`

`(-5,(25)/(6))`

Explanation:

The given equation is
`2x+6y=15`

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

`2(-1)+6(-8)=^?15`

`-2+-48=^?15\\-50=^?15`

This is not true.

For
`(-1,(17)/(6)))` we put x=-1 and
`y=(17)/(6)` to get

`2(-1)+6*(17)/(6))=15\\ -2+17=15\\15=15`

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.