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

1 Answer
BRIAN M.
Apr 16, 2018

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

Explanation:

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

#y=2x-5#

Switch #x# and #y#.
#x=2y-5#

Use additive inverse to isolate the #y# 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#

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