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"
