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}
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = 
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 =
( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer:
6 green fish
Step-by-step explanation:
green fish = x
(X+3)/60 = x/40
Cross multiplication
60x = 40x+120
subtract 40x on both sides
20x = 120
Divide both sides by 20
x=6
The aquarium has 3 more yellow fish than green fish 6+3 = 9 (9 yelow)
15 fish in total
60% of 15 = 9
40% of 15 = 6
The area of lens is 3.14 square yards.
Step-by-step explanation:
Given,
Circumference of lens = 6.28 yards
Circumference = 2πr

Dividing both sides by 6.28

Area of lens = πr²
Area of lens = 
Area of lens = 3.14 square yards
The area of lens is 3.14 square yards.
Keywords: area, circumference
Learn more about area at:
#LearnwithBrainly