Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Add 2.2 to each side so 0.3z = 5.2 - 0.5z -0.8z
add 0.5z to each side so 0.8z = 5.2 - 0.8z
add 0.8z to each side so 1.4z = 5.2
divide each side by 1.4 so z = 3.71428571
Tile:
<h2>See the explanation.</h2>
Step-by-step explanation:
(a)
There were total 5 men wearing coats.
5 coats can be returned to 5 men in 5! = 120 ways.
The coats can be returned to the accurate persons only in 1 way.
Hence, the probability that each man gets the correct coat is
.
(b)
At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.
Hence, in
ways the hostess can return the 2 coats.
There is only 1 possible case that each of the coats will return to the correct owner.
Hence, the required probability is
.
<span>2v^3 + 3v^2 + 4v + 6
= (</span><span>2v^3 + 3v^2) + (4v + 6)
= v^2 (2v + 3) + 2 (2v + 3)
= (v^2 + 2)(2v + 3)
hope it helps</span>