<span>Center City West = x
</span><span>Center City East = (x + 257)
Solve for x to find the capacity for Center City West and then we can find the capacity for Center City East.
(x + 257) + x = 1221
x + x + 257 = 1221
2x + 257 - 257 = 1221 - 257
2x = 964
2x / 2 = 964 / 2
x = 482
</span><span>Center City West capacity = 482
</span>
Now to find Center City East capacity we substitute 482 for x in (x + 257)
(x + 257)
(482 + 257)
482 + 257 = 739
Center City East capacity = 739
Center City West capacity = 482
Answer:
Step-by-step explanation:
<u>Multiply the number of containers by the amount in each to find the total amount of sugar:</u>
- 2 4/5 * 2 3/7 =
- 14/5 * 17/7 =
- 2*17/5 =
- 34/5 =
- 6 4/5
Answer:
x=-1/85; y=-283/85; z=2/17
Step-by-step explanation:
Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:
![\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-4%266%5C%5C9%26-3%261%5C%5C5%260%269%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D14%5C%5C10%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:
![\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D2%26-4%266%26%7C%2614%5C%5C9%26-3%261%26%7C%2610%5C%5C5%260%269%26%7C%261%5Cend%7Barray%7D%5Cright%5D)
By applying the Gaussian elimination, the final matrix is the following:
![\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%26%7C%26-1%2F85%5C%5C0%261%260%26%7C%26-283%2F85%5C%5C0%260%261%26%7C%262%2F17%5Cend%7Barray%7D%5Cright%5D)
In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term