SOLUTION: Balancing Equations Using Multiplication cannot figure out how to do this with negatives... {{{-4x/3}}} = {{{18/5}}} the negative is in front of both numbers in the first fracti

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Question 118618: Balancing Equations Using Multiplication
cannot figure out how to do this with negatives...
=
the negative is in front of both numbers in the first fraction.
must solve equation and also show checks
Found 3 solutions by ankor@dixie-net.com, Earlsdon, Edwin McCravy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Assume you mean:
=
:
Get rid of the denominator and the negative x, multiply both sides by -15
-15* = -15*
:
Cancel the denominators and change the signs
+5(4x) = -3(18)
:
20x = -54
:
x =
Reduces to:
x = or -2.7
:
:
Check solution in original equation
=
=
Using a calc
3.6 = 3.6; confirms our solution of x = -2.7
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Multiply both sides by the multiplicative inverse of which is
Simplify.


Check:
Substitue
Simplify.
Reduce the fraction on the left side.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
cannot figure out how to do this with negatives...
=
the negative is in front of both numbers in the first fraction.
must solve equation and also show checks

 = 

Get rid of that negative sign on the left by using this rule:

You can change the sign of EVERY TERM on both sides of an
equation and the resulting equation will be equivalent:

So we change the sign on the left to positive and we
change the sign on the right side to negative.

 = 

So multiply both sides by 

 = 

Cancel the 3's and 4's on the left.
Multiply numerators and denominators on the right:

 = 

Reduce the fraction on the right:

 = 

To check, it is easier to write  as a decimal 

 = 

 = 

 = 

The negatives cancel on the left.
Change  on the right to decimal 


 = 

Divide the left side:

 = 

Edwin
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