How do you find the inverse of #2x-3y= -15#?

1 Answer
Apr 27, 2016

#color(blue)(=>y=3/2x-15/2)#

Explanation:

Given:#" "2x-3y=-15#

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Note that the given equation #-> y=2/3x+5# ...............(1)
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Add #3y# to both sides

#2x+3y-3y=-15+3y#

But #3y-3y=0#

#2x=3y-15#

Divide both sides by 2

#2/2xx x=3/2y-15/2#

But #2/2=1#

#x=3/2y-15/2# .....................(2)
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Where there is a #x# in equation (2) write #y#
Where there is a #y# in equation (2) write #x#

#color(blue)(=>y=3/2x-15/2)# .............................(3)
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#color(red)("A inverse function is a reflection about "y=x)#

Tony B