How do you solve #abs(11-4x)=7#?

1 Answer
Sep 22, 2016

Answer:

#x=1" and "x=9/2#

Explanation:

This is the same as #|+-7|=+7#

So #11-4x=+-7#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Consider the case "11-4x=-7"#

#4x=18 => x=18/4 ->color(blue)(x= 9/2)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Consider the case "11-4x=+7"#

#4x=4 => x=4/4 ->color(blue)(x=1)#