need help with system of equations

• April 21st 2010, 05:48 PM
mrking
need help with system of equations
I do not understand how to do this problem:

4e=5+2f

6f=9-4e

Could someone please explain to me how to solve this problem?
• April 21st 2010, 05:52 PM
harish21
Quote:

Originally Posted by mrking
I do not understand how to do this problem:

4e=5+2f

6f=9-4e

Could someone please explain to me how to solve this problem?

$4e=5+2f \implies 4e-2f=5$

$6f = 9-4e \implies 4e+6f=9$

so you have these two equations with two unknowns. You can easily find e and f

OR,

4e=5+2f and

6f = 9-4e. therefore, 4e = 9 -6f

so you can write

5+2f = 9-6f.

This will give you the value of f, after which you can find out e.
• April 21st 2010, 06:00 PM
mrking
oh ok thanks