Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

answer is below

Step-by-step explanation:

x - 2y = 12

First step is to solve for y, so

$x - 2y = 12$

Then, subtract x on both sides to isolate the variable, y.

$-2y = -x + 12$

Divide both sides by -2

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

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

Domain is the set of x values

Range is the set of y values

We are given the domain x, we need to find out the y values using the equation: $y= \frac{1}{2}x - 6$

$y = \frac{1}{2}(-3) -6 = \frac{-15}{2} = -7.5\\\\y = \frac{1}{2}(-1) -6 = \frac{-13}{2} = -6.5\\\\y = \frac{1}{2}(0) -6 = -6\\\\y = \frac{1}{2}(2) -6 = -5\\\\\\y = \frac{1}{2}(5) -6 = -\frac{7}{2} = - 3.5$

therefore,

when x is -3: y = -7.5

when x is -1: y = -6.5

when x is 0: y = -6

when x is 2: y = -5

when x is 5: y = -3.5

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

hope this helps and is right :)

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