Solving Equations Together

[ConradM]

How would I go about solving for "w" with these three equations?

4c + 3w = 10
6p + 2w = 13
2p + 1c + 1w = 6

Thanks in advanced.

-Conrad

 

[Gene]

Depends. I would use a matrix, but substitution or addition are also worth considering. What have you tried. That would show what you are comfortable with.

 

[tkhunny]

How would I go about solving for "w" with these three equations?
4c + 3w = 10
6p + 2w = 13
2p + 1c + 1w = 6

Just like you solve for 'c' or 'p'. If you REALLY want JUST 'w', then solve for everything except 'w'.

4c + 3w = 10 ==> c = (10 - 3w)/4
6p + 2w = 13 ==> p = (13 - 2w)/6
2p + c + w = 6 ==> 2((13 - 2w)/6) + ((10 - 3w)/4) + w = 6

...and you're on your way.