Answer:
<h3>
( - 1 , - 1 )</h3>
Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5

Calculate

Again, Putting the value of x in equation ( ii ) in order t get the value of y

plug the value of x

Any expression multiplied by ( - 1 ) equals it's opposite

Calculate

Therefore, The possible solution of the system is the ordered pair ( x , y )

-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation


Simplify the equation


Since all the equalities are true, the ordered pair is the solution of the system.
<h3>
( x , y ) = ( - 1 , - 1 )</h3>
Hope this helps..
Best regards!!
The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
<h3>How to determine the equation of the model?</h3>
The partially completed model is given as:
| n
| n²
5 | 5n | 40
By dividing the rows and columns, the complete model is:
| n | 8
n | n² | 8n
5 | 5n | 40
Add the cells, and multiply the leading row and columns
n² + 8n + 5n + 40 = (n + 8)(n + 5)
This gives
n² + 13n + 40 = (n + 8)(n + 5)
Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
Read more about polynomials at:
brainly.com/question/4142886
#SPJ4