Answer:
[tex](-1,\frac{17}{6})[/tex]
[tex](3,\frac{3}{2})[/tex]
[tex](-5,\frac{25}{6})[/tex]
Step-by-step explanation:
The given equation is [tex]2x+6y=15[/tex]
We substitute the ordered pairs to see which ones satisfies the equation.
For (-1,-8), we put x=-1 and y=-8 to get:
[tex]2(-1)+6(-8)=^?15[/tex]
[tex]-2+-48=^?15\\-50=^?15[/tex]
This is not true.
For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get
[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]
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.
