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August 31, 2014

August 31, 2014

Posted by **Carolyn** on Wednesday, October 22, 2008 at 7:46pm.

Is the equation: 75t + 6L = 3,125

50t + 2L = 206

I have to find the equation before I can start with my augmented matrix. Can anyone help?

- Finite Math -
**Damon**, Wednesday, October 22, 2008 at 7:56pmDays operating plant A = x

Days operating plant B = y

75 x + 50 y = 3124

6 x + 2 y = 206

- Finite Math -
**Carolyn**, Wednesday, October 22, 2008 at 8:01pmThank you so much!

- Finite Math -
- augmented matrix -
**Damon**, Wednesday, October 22, 2008 at 8:15pm75 50 3124

6 2 206

1 2/3 41.65

1 1/3 34.33 subtract for new row 2

1 2/3 41.65

0 1/3 7.32 double row 2 and subtract for new row one

1 2/3 41.65

0 2/3 14.64

1 0 27.0

0 2/3 14.64 multiply row 2 by 3/2

1 0 27.0

0 1 22.0

- augmented matrix -
**Carolyn**, Wednesday, October 22, 2008 at 9:03pmI don't particularly like to work with fractions so I went about it this way and came up with the same answer:

75 50 3125 6R1-75R2 into R2

6 2 206

75 50 3125

0 150 3300 R2 divided by 150 into R2

75 50 3125

0 1 1100 R1 - 50R2 into R1

75 0 2025

0 1 22 R1 - 50R2 into R1

75 0 2025

0 1 22 R1 divided by 75 into R1

1 0 27

0 1 22

Thanks again!

- augmented matrix -

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