SOLUTION: A NUMBER,WHEN ADDED TO 5, GIVES THE SAME RESULT AS WHEN 2/3 OF IT IS SUBTRACTED FROM 6 WHAT IS THE NUMBER

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A NUMBER,WHEN ADDED TO 5, GIVES THE SAME RESULT AS WHEN 2/3 OF IT IS SUBTRACTED FROM 6 WHAT IS THE NUMBER      Log On


   

Question 927626: A NUMBER,WHEN ADDED TO 5, GIVES THE SAME RESULT AS WHEN 2/3 OF IT IS SUBTRACTED FROM 6 WHAT IS THE NUMBER
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let a number be x
given: 5%2Bx
is = to
6-%282%2F3%29x
set equation up:
5%2Bx=6-%282%2F3%29x...solve for x
5%2A3%2Bx%2A3=6%2A3-%282%2F3%29x%2A3
15%2B3x=18-%282%2F%28cross%283%29%29%29x%2Across%283%29
15%2B3x=18-2x
2x%2B3x=18-15
5x=3
highlight%28x=3%2F5%29

check:
5%2Bx=6-%282%2F3%29x

5%2B3%2F5=6-%282%2F3%29%283%2F5%29

25%2F5%2B3%2F5=6-6%2F15

%2825%2A3%29%2F%285%2A3%29%2B%283%2A3%29%2F%285%2A3%29=%286%2A15%29%2F15-6%2F15

75%2F15%2B9%2F15=90%2F15-6%2F15

%2875%2B9%29%2F15=%2890-6%29%2F15

84%2F15=84%2F15