Considering the given system of equations, it is found that:

<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the system is:
-8x+y=-6
3x-2y=-1
In matrix form, it is given by:
![\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%261%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-6%5C%5C-1%5Cend%7Barray%7D%5Cright%5D)
To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

More can be learned about a system of equations at brainly.com/question/24342899
Answer:
Qestion 1: First option.
Question 2: It's actually false, because we know that Eugene doesn't want to spend any more than 5, so 5 goes where the last x is.
Question 3: Last option.
Question 4: The order it's in seems correct, but I'm not 100% sure.
Step-by-step explanation:
Please don't be mad if it ends up being wrong, I tried. Hope you pass :)
Answer:
x= 9/5
Step-by-step explanation:
Once you divide 10 in both sides of the equation, you'll get 18/10. So, what you need to do is simplify the fraction, and you'll end up with 9/5
Let g = original # of girls at the assembly.
Let w = # of boys at the assembly.
Equation of ratios:
w 3 boys
------- = ---- = --------------------------------------------
g-12 4 girls after 12 have left assembly
4w + 36
Cross-mult., 4w = 3g - 36, so 4w + 36 = 3g, and g = --------------- (answer)
4
This is "original # of girls at the assembly in terms of w, the # of boys at the assembly."