How do you solve #abs(9n+8)=46#?

1 Answer
Oct 3, 2016

Answer:

#x=(4.2,-5.88)#

Explanation:

#color(blue)(|9n+8|=46#

First of all, the equation is in absolute value

So we can make it into two equations

#color(orange)(9n+8=46#

#color(violet)(9n+8=-46#

Solve for the equations

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#rarrcolor(orange)(9n+8=46#

#rarrcolor(orange)(9n=46-8#

#rarrcolor(orange)(9n=38#

#rarrcolor(orange)(9n=38#

#rarrcolor(green)(n=38/9=4.2#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#rarrcolor(violet)(9n+8=-46#

#rarrcolor(violet)(9n=-46-8#

#rarrcolor(violet)(9n=-53#

#rarrcolor(green)(n=-53/9=-5.88#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#:.color(green)(x=(4.2,-5.88)#