Question

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.

|2x + 5| = 3

Answer 1

`Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\ |2x+5|=3\\\\ 2x+5=3\ \ \ \ or\ \ \ \ 2x+5=-3\\\\ 2x=-2\ \ \ \ or\ \ \ \ 2x=-8\\\\ x=-1\ \ \ \ or\ \ \ \ x=-4`

Answer 2

First equation: 2x+5=3
Second equation: 2x+5=-3
Solution for first equation:
2x+5=3
subtract 5
2x=-2
divide by 2
x=-1
Solution for second equation:
2x+5=-3
subtract 5
2x=-8
divide by 2
x=-4