How do you solve #abs(7 + 2x) = 9#?
2 Answers
Explanation:
As The Absolute Value of the Expression is 9, we will have to solve the equation twice, once for positive and once for negative.
As.
So, Case 1 (Taking Positive):
Case 2 (Taking Negative) :
So,
Hope this helps.
Explanation:
#"the expression inside the absolute value bars can be"#
#"positive or negative so there are 2 possible solutions"#
#color(magenta)"Positive expression"#
#7+2x=9#
#"subtract 7 from both sides and divide by 2"#
#rArr2x=9-7=2rArrx=2/2=1#
#color(magenta)"Negative expression"#
#-(7+2x)=9#
#rArr-7-2x=9#
#"add 7 to both sides and divide by "-2#
#rArr-2x=9+7=16rArrx=16/(-2)=-8#
#color(blue)"As a check"# Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
#x=1to|7+2|=|9|=9#
#x=-8to|7-16|=|-9|=9#
#rArrx=-8" or "x=1" are the solutions"#