Question

Find the inverse of the following equation: y=2x-3

Answer 1

Step-by-step explanation:

First get x on its own:

 

Subtract 3 from each side

y - 3 = 2x

 

Divide through by 2

y/2 - 3/2 = x

or x = y/2 - 3/2

 

Now simply switch labels: x↔y

y = x/2 - 3/2

Answer 2

Answer:

$y=\frac{x}{2}+\frac{3}{2}$

Step-by-step explanation:

To find inverse of an equation, replace the variables x with y and y with x:

x = 2y - 3

Now we get it in slope-intercept form:

x = 2y - 3

Add 3 to both sides.

x + 3 = 2y

Divide both sides by 2.

$\frac{x}{2}+\frac{3}{2}=y$

Swap left and right sides.

$y=\frac{x}{2}+\frac{3}{2}$

And this is the inverse of the equation y = 2x - 3.

I hope you find my answer helpful.