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# Algebra

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What is the inverse of the given relation?

y = 3x + 12

Apr 11, 2019

#1
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y=3x+12    Solve for 'x'

(y-12)/3 = x       then switch the 'x' and 'y's

(x-12)/3 = y

or    y = 1/3 x -4

Apr 11, 2019
#2
+65
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Flip the x and the y, so it becomes $$x=3y+12$$

Then just solve for y

$$x-12=3y+12-12$$

$$\frac{x-12}{3}=\frac{3y}{3}$$

$$\frac{x}3-4=y$$

So the inverse is $$\frac{x}3-4=y$$

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Apr 11, 2019