Question

how to do absolute value equations
1. 5I3x-4I=x+1
2.3Ix+6I=9x-6

Answer 1

FIRST ONE:
\[1.5\left| 3x-4 \right|=x+1\]
Split it up:
1.5(3x-4)=x+1 OR 1.5(4-3x) = x+1
4.5x-6 = x+1 OR 6-4.5x =x+1
3.5x = 7 OR 5=5.5x
x={2,1.1}

Answer 2

if its 3Ix+6I=9x-6 ?!
has one root in x=4
1st simplify by 3
then do like "enelius" said

Answer 3

by solving 2nd as I say
you get x=4, x=-1
x=4 is correct but x=-1 is not (check in equation )