How do you solve #|7+ 7r | + 5= 40#?
2 Answers
Mar 26, 2018
Answer:
Explanation:
Mar 26, 2018
Explanation:
#"subtract 5 from both sides"#
#rArr|7+7r|=35#
#"the expression inside the absolute value can be positive"#
#"or negative"#
#color(magenta)"Positive expression"#
#rArr7+7r=35larrcolor(blue)"subtract 7 from both sides"#
#rArr7r=28larrcolor(blue)"divide both sides by 7"#
#rArrr=4#
#color(magenta)"Negative expression"#
#-7-7r=35larrcolor(blue)"add 7 to both sides"#
#rArr-7r=42larrcolor(blue)"divide both sides by "-7#
#rArrr=-6#
#color(blue)"As a check"#
#r=4rArr|35|+5=35+5=40color(white)(x)✔︎#
#r=-6rArr|-35|+5=35+5=40color(white)(x)✔︎#
#rArrx=-6" or "x=4" are the solutions"#