Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
![\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%262%5C%5C0%261%263%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C9%5C%5C-2%5Cend%7Barray%7D%5Cright%5D)
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).
Answer: 77 seeds
Step-by-step explanation:
Given: The germination rate for zinnia seeds =78%
Let x be the total number of seeds he planted, then
The seeds germinated= 78% of x
⇒The seeds germinated= 0.78x
If James wants 60 zinnia plants for his yard, then it will give the equation
Hence, he should plant 77 seeds .
Answer:
Overall answer: 10 1/9 - 1 5/18x (Most simplified answer)
Step-by-step explanation:
First you have to do all the Distributive property which the answer would be:
2 1/2 - 1/2x + 3 1/9 + 8/9x + 1/6x - 5/18x + 2 14/18 + 1 13/18
Then you have to find the common demoninator which would be 18
After that you have to put them in the correct order since there is two different terms which would be:
2 9/18 + 3 2/18 + 2 14/18 + 1 13/18 - 9/18x + 16/18x + 3/18x - 5/18x
After that you solve the problem which in the end after solving both terms it ends up as..:
10 2/18 - 1 5/18x
and I think that is as simplified as you can go term wise.
I hope this helps and I hope I didn't make a mistake :D
Answer:
The answer is 7.5
Step-by-step explanation:
BODMAS:
2 × (5.6 ÷ 2.8)+ 3.5
= 2 × 2 + 3.5
= 4 + 3.5
= 7.5
(Correct me if i am wrong)
3 samolians = 12 x 20 = 240 mites
5 bits = 60 mites
240 + 60 = 300
Final Answer:
300 mites
