What is the equation for the inverse relation of y= 2x-5y=2x5?

1 Answer
Apr 16, 2018

The inverse is
(x+5)/2 =yx+52=y

Explanation:

In order to find the inverse relation for the equation y=2x-5y=2x5
begin by switching the xx and yy variables and then solve for the yy value.

y=2x-5y=2x5

Switch xx and yy.
x=2y-5x=2y5

Use additive inverse to isolate the yy term.
x +5 = 2y cancel(-5) cancel (+5)

Use multiplicative inverse to isolate the y variable.
(x+5)/2 = (cancel2y)/cancel2

The inverse is
(x+5)/2 =y