How do you solve the equation #abs(5-6x)=7#?
1 Answer
May 30, 2017
Explanation:
#"the expression inside the absolute value can be positive or"#
#"negative"#
#rArr5-6x=color(red)(+-)7#
#color(blue)"first solution"#
#5-6x=color(red)(+)7#
#"subtract 5 from both sides"#
#rArr-6x=2#
#"divide both sides by - 6"#
#rArrx=2/(-6)=-1/3#
#color(blue)"second solution"#
#5-6x=color(red)(-)7#
#"subtract 5 from both sides"#
#rArr-6x=-12#
#"divide both sides by - 6"#
#rArrx=(-12)/(-6)=2#
#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=-1/3to|5+2|=|7|=7#
#x=2to|5-12|=|-7|=7#
#rArrx=-1/3" or "x=2" are the solutions"#
