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

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Answer 1 · 2016-10-03T14:20:07

$x=(4.2,-5.88)$

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

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

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

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

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

$rarrcolor(orange)(9n=38$

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

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

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

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

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

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

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

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

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