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}
Hey there! I'm happy to help!
This number is sixty six thousand six hundred eighty one. This means that our ten thousandths place is the first 6.
We look to the right place to see if it is 5 or bigger. It is also six.
Therefore we bump the ten thousands place up 1 to 7 and we make everything else 0, giving us 70,000.
Have a wonderful day! :D
Answer:
4. -4
5. -2
6. -3
Step-by-step explanation:
4. -12 = 5r + 8
Subtract 8 from both sides;
-20 = 5r
Divide both sides by 5;
-4 = r OR r = -4
5. -6p - 3 = 9
Add 3 to both sides;
-6p = 12
Divide both sides by -6
p = -2
6. -14 = 4x - 2
Add 2 to both sides;
-12 = 4x
Divide both sides by 4;
-3 = x OR x = -3
This is the symmetric property of equality, and in a more general form it can be written as: if a=b then b=a.
This is not to be confused with communicative property, which says that the order doesn't matter in some operations, such as addition, and can be written as a+b=b+a
Answer:
1900
Step-by-step explanation:
let a = total seats
the number of students that filled the theatre can be represented with this equation
0.45 x a = 855
divide both sides by 0.45
a = 855/0.45 = 1900
