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

$y=\frac{1}{2}x - 6$

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 $y=\frac{1}{2}x - 6$

when x=-3 , $y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5$

when x=-1 , $y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5$

when x=0 , $y=\frac{1}{2}(0)-6=-6$

when x=2 , $y=\frac{1}{2}(2)-6=-5$

when x=5 , $y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5$

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