Setting Equal to and Solving

May 2010
5
0
Good Day to you all,

This is my first post so I hope this legible and concise ... I will try my best.

I have a problem where I have to set 2 equations equal to each other and solve for the variable.

.66X - 396,000
------------------ =
1,066,333

.66X - 1,108,800
---------------
233,000

OR (.66x - 396000 / 1066333) = (.66X - 1108800 / 233000)

Solve For X

.............. I know this is quite simple for you all, I hope I am not wasting your time but I am at a loss on this :/

Mostly I am confusing the order of operations so a breakdown would be awesomesauce.

Namaste'

Antony
 

masters

MHF Helper
Jan 2008
2,550
1,187
Big Stone Gap, Virginia
Good Day to you all,

This is my first post so I hope this legible and concise ... I will try my best.

I have a problem where I have to set 2 equations equal to each other and solve for the variable.

.66X - 396,000
------------------ =
1,066,333

.66X - 1,108,800
---------------
233,000

OR (.66x - 396000 / 1066333) = (.66X - 1108800 / 233000)

Solve For X

.............. I know this is quite simple for you all, I hope I am not wasting your time but I am at a loss on this :/

Mostly I am confusing the order of operations so a breakdown would be awesomesauce.

Namaste'

Antony
Hi noncentz,

Here we go:

\(\displaystyle \frac{.66x-396000}{1066333}=\frac{.66x-1108800}{233000}\)

First, I would cross multiply to get:

\(\displaystyle 1066333(.66x-1108800)=233000(.66x-396000)\)

Expand by distribution.

\(\displaystyle 703779.98x-(1.18 \times 10^{12})=153780x-(9.23 \times 10^{10})\)

Now, let's combine the x terms by subtracting 153780x from each side.

\(\displaystyle 549999.98x=(1.18 \times 10^{12})-(9.23 \times 10^{10})\)

Now, divide everyting by 549999.98.

\(\displaystyle \frac{(1.18 \times 10^{12})-(9.23 \times 10^{10})}{549999.98}\)

The rest is up to you.