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:
8
Step-by-step explanation:
The ratio of yellow balloons to the total is ...
... 2:(2+3+2) = 2/7
This fraction of 28 balloons is ...
... (2/7)·28 = 56/7 = 8 . . . . yellow balloons
Answer:
0.84
Step-by-step explanation:
4x2+13a+10=7
13a=7-10-8
13a=-11
a=-11:13
a=0.84
Answer:
12x + 4
Step-by-step explanation:
ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.
length = 2x-3
width = 4x+5
the perimenter is the total of the 4 sides.
2(2x-3) = 4x-6 (the total for lengths)
2(4x+5) = 8x+10 (the total for widths)
add the 2 together:
12x+4
Answer:
−
12
a
3
x
(
7
−
x
)
(
1
4
+
p
)
(
1
4
−
p
)
(
5
v
+
1
)
(
5
v
−
1
)
Step-by-step explanation:
I think these are the right answers
