Question

l2a+1l=1

Answer 1

that is better
this is an absolute value equation so it requires solving two separate equations

Answer 2

one is just what you see as if the absolute value signs are not there \[2a+1=1\] which you can solve in two easy steps

Answer 3

the other is what you get when you change the sign of the number on the right, i.e \[2a+1=-1\] again two easy steps to solve

Answer 4

so you pretend the absolute value sign is not there?

Answer 5

for one of them yes, but you have to solve two all together

Answer 6

so lets go ahead and solve them
start with \[2a+1=1\] and subtract 1 from both sides, what do you get?

Answer 7

you get 2a=0

Answer 8

right
which means \(a=?\)

Answer 9

0?

Answer 10

yes !
now on to the next equation

Answer 11

the next one is \[2a+1=-1\] again subtract 1, what do you get?

Answer 12

2a=-2

Answer 13

right, and now divide by 2

Answer 14

A=-1

Answer 15

yes
lets recap

Answer 16

if you have an absolute value equation like \[|2x+3|=5\] you have to solve two equations:\[2x+3=5\] and also \[2x+3=-5\]

Answer 17

so on a graph it would look like