SOLUTION: my daughter is in pre-algebra and i need help showing her how to show her work on this equation. 2/3x=36 and 5/9x=7/18

Algebra ->  Equations -> SOLUTION: my daughter is in pre-algebra and i need help showing her how to show her work on this equation. 2/3x=36 and 5/9x=7/18      Log On


   



Question 244359: my daughter is in pre-algebra and i need help showing her how to show her work on this equation.
2/3x=36 and 5/9x=7/18

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problems are (x is not part of the denominator)
%282%2F3%29x = 36
Multiply both sides by 3 to get rid of the denominator
2x = 3(36)
2x = 108
x = 108%2F2
x = 54
:
Check solution by substituting 54 for x in the original equation
%282%2F3%29%2A54 = 36
3 cancels into 54,
2(18) = 36
;
:
%285%2F9%29x = 7%2F18
Multiplying by 18 will clear the denominators here
2(5)x = 7
10x = 7
x = 7%2F10
:
:
Check solution
%285%2F9%29%2A%287%2F10%29 = 7%2F18
Cancel 5 into 10
%281%2F9%29%2A%287%2F2%29 = 7%2F18