You can
put this solution on YOUR website!I'll do the first two to get you started
# 1
Start with the given equation
Subtract 5 from both sides.
Break up the absolute value (remember, if you have
, then
or
)
or
Set the expression
equal to the original value 21 and it's opposite -21
Now lets focus on the first equation
Add 3 to both sides
Combine like terms on the right side
Divide both sides by 2 to isolate x
Divide
Now lets focus on the second equation
Add 3 to both sides
Combine like terms on the right side
Divide both sides by 2 to isolate x
Divide
So the solutions to
are:
and
Notice if we graph
and
(just set each side equal to y and graph), we get
Graph of
(red) and
(green)
and we can see the two graphs intersect at
and
. So this verifies our answer.
# 2
Start with the given equation
Break up the absolute value (remember, if you have
, then
or
)
or
Set the expression
equal to the original value 11 and it's opposite -11
Now lets focus on the first equation
Subtract 5 from both sides
Combine like terms on the right side
Divide both sides by 3 to isolate x
Reduce
Now lets focus on the second equation
Subtract 5 from both sides
Combine like terms on the right side
Divide both sides by 3 to isolate x
Divide
So the solutions to
are:
and
Notice if we graph
and
(just set each side equal to y and graph), we get
Graph of
(red) and
(green)
and we can see the two graphs intersect at
and
. So this verifies our answer.
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