Question

Solve x-2y=12 if the domain is {-3,-1,0,2,5}

Answer 1

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

`y=(1)/(2)x - 6`

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation
`y=(1)/(2)x - 6`

when x=-3 ,
`y=(1)/(2)(-3)-6=(-15)/(2)=-7.5`

when x=-1 ,
`y=(1)/(2)(-1)-6=(-13)/(2)=-6.5`

when x=0 ,
`y=(1)/(2)(0)-6=-6`

when x=2 ,
`y=(1)/(2)(2)-6=-5`

when x=5 ,
`y=(1)/(2)(5)-6=(-7)/(2)=-3.5`

Range is {-7.5, -6.5, -6 , -5, -3.5}