How do you solve #abs(a-5)/8=5#?
2 Answers
We need to consider two separate situations.
a) The absolute value is positive
b) The absolute value is negative
Starting with the positive case:
Now for the negative case:
Hence, the solution set is
Hopefully this helps!
Explanation:
Absolute value can be negative inside or positive inside. When the value comes out of the absolute value sign it is always positive.
First, multiply both sides by
#(a- 5)/ 8 xx 8 = 5 xx 8#
Since
# a -5 = 40#
#(a-5) = + 40" "# or#" " a-5 = -40#
#a-5 = + 40 -># add#5# to both sides
#a- cancel(5) + cancel(5) = + 40 + 5#
Since
#a= + 45#
#a-5 = -40 -># add#5# to both sides
#a - cancel(5) + cancel(5) = -40 +5#
Once again,
#a = -35#