SOLUTION: I need help on how to solve Equations by multiplying the LCD!!!!!! Here's one of my problems: 1/2 - x/30 = 3(x + 7)/90. Here's how it shold read if it makes no sense to you,

Algebra ->  Linear-equations -> SOLUTION: I need help on how to solve Equations by multiplying the LCD!!!!!! Here's one of my problems: 1/2 - x/30 = 3(x + 7)/90. Here's how it shold read if it makes no sense to you,      Log On


   



Question 53011: I need help on how to solve Equations by multiplying the LCD!!!!!!
Here's one of my problems: 1/2 - x/30 = 3(x + 7)/90.
Here's how it shold read if it makes no sense to you, one half minus x over thrity equals three x plus seven divided by nintey.
I hope that will make it easier for you to solve it.

Found 2 solutions by AnlytcPhil, funmath:
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 - x/30 = 3(x + 7)/90.

 1      x     3(x + 7)
--- - ---- = ----------
 2     30        90

2, 30 and 90 will all divide evenly into 90. So 90
is the LCD.

Put 90 over 1 like this with a times sign beside it.

 90
----·
  1

Now stick it before every one of those fraction terms:


 90   1     90    x     90   3(x + 7)
----·--- - ----·---- = ----·----------
  1   2      1   30      1      90

Now you can cancel the 2 into the 90 on the left, 
getting 45. You can cancel the 30 into the 90, 
getting 3.  You can cancel the 90's on the right.

 45         3           1    
 90   1     90    x     90   3(x + 7)
----·--- - ----·---- = ----·----------
  1   2      1   30      1      90
      1          1              1

Now all the denominators are just 1 and therefore can be
left understood, so we just have this::

             45 - 3x = 3(x + 7)

Now you can finish that, right?

Answer:            x = 4

Edwin


Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
This one's easier to solve if you simplify a little before you multipy by the LCD.
1%2F2-x%2F30=3%28x%2B7%29%2F90
1%2F2-x%2F30=%28x%2B7%29%2F30
The LCD is 30, multiply both sides of the equation by the LCD and the denominators all cancel:
30%281%2F2-x%2F30%29=30%28%28x%2B7%29%2F30%29
30%2F2-30x%2F30=30%28x%2B7%29%2F30
15-x=%28x%2B7%29
15-x=x%2B7
15-x-x=-x%2Bx%2B7
15-2x=7
-15%2B15-2x=-15%2B7
-2x=-8
%28-2x%29%2F%28-2%29=%28-8%29%2F%28-2%29
x=4