
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
8x + 5y = 18 ------- eqn 1
6x + y = -2 -------- eqn 2
Multiply eqn 2 by -5
-30x -5y = 10 ----- eqn 3
Add eqn 1 and eqn 3 so that y terms gets eliminated
8x + 5y = 18
-30x -5y = 10
( + ) --------------
-22x = 28
Divide both sides by -22

Substitute the x value in eqn 1


Answer:
$69560
Step-by-step explanation:
The yearly compensation package includes a yearly salary of $65000, the health insurance plan of $350 per month and a life insurance premium of $30 per month.
Total compensation in health insurance plan is $(350 × 12) = $4200
Total compensation in life insurance premium is $(30 × 12) = $360
Therefore, total yearly compensation package is $(65000 + 4200 + 360) = $69560 (Answer)
Answer:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways
Step-by-step explanation:
For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .
And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.
And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.
For the number of possible letters:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways