Answer:
<em>The solution of the system is: 
</em>
Step-by-step explanation:
The given system of equations is.......
So, the augmented matrix will be: ![\left[\begin{array}{cccc}-1&-3&|&-17\\2&-6&|&-26\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-3%26%7C%26-17%5C%5C2%26-6%26%7C%26-26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now, we will transform the augmented matrix to the reduced row echelon form using row operations.
<u>Row operation 1 :</u> Multiply the 1st row by -1. So..........
![\left[\begin{array}{cccc}1&3&|&17\\2&-6&|&-26\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%263%26%7C%2617%5C%5C2%26-6%26%7C%26-26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<u>Row operation 2:</u> Add -2 times the 1st row to the 2nd row. So.......
![\left[\begin{array}{cccc}1&3&|&17\\0&-12&|&-60\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%263%26%7C%2617%5C%5C0%26-12%26%7C%26-60%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<u>Row operation 3:</u> Multiply the 2nd row by 
. So.......
![\left[\begin{array}{cccc}1&3&|&17\\0&1&|&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%263%26%7C%2617%5C%5C0%261%26%7C%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<u>Row operation 4:</u> Add -3 times the 2nd row to the 1st row. So........
![\left[\begin{array}{cccc}1&0&|&2\\0&1&|&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%26%7C%262%5C%5C0%261%26%7C%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now, from this reduced row echelon form of the augmented matrix, we can get that 
and 
So, the solution of the system is:
<span>The correct option is C, that is, both employers and applicants pay fees to private employment agencies. Employment agencies have two different method of getting their fees paid, these are: employer paid fees and applicant paid fees. For the employer paid fees, the employer takes the total responsibility for the payment of fees while in applicant paid fees, the applicant is responsible for paying the agency.</span>
Explanation:
The "work" is to <em>look at the diagram and understand what it is telling you</em>.
__
The single hash marks indicate sides that are the same length (congruent).
The double hash marks indicate sides that are the same length (congruent).
The (vertical) angle between the sides is marked 42° in both cases. It would not have to be marked, because vertical angles are always congruent.
__
So, you have two sides and the angle between them that are congruent. That is the meaning of the acronym SAS (for Side-Angle-Side). Hence, you invoke the SAS property to declare the triangles congruent. (choice B).
X+Y=60kg
X=60-Y
X*0.2+Y*0.7=60*0.5
(60-Y)*0.2+Y*0.7=30
12-0.2*Y+0.7*Y=30
0.5*Y=18
Y=36 kg
X=60-36
X=24 kg
The metal worker should use 24 kilograms of the metal alloy that is 20% copper and 36 kilograms of the metal alloy that is 70% copper.
