Answer:
Step-by-step explanation:
2x + z = 9.....z = -2x + 9
so we r gonna sub in -2x + 9 for z in our other 2 equations
3x + 2y + z = 9 -3x - y + 3z = -7
3x + 2y + (-2x + 9) = 9 -3x - y + 3(-2x + 9) = -7
3x + 2y - 2x + 9 = 9 -3x - y - 6x + 27 = -7
x + 2y = 9 - 9 - 9x - y = -7 - 27
x + 2y = 0 -9x - y = - 34
now we take our results and eliminate a variable
x + 2y = 0
-9x - y = -34.....multiply by 2
-------------------
x + 2y = 0
-18x - 2y = - 68 (result of multiplying by 2)
------------------add
-17x = -68
x = -68/-17
x = 4
now we sub 4 in for x in either of our resulting equations
x + 2y = 0
4 + 2y = 0
2y = 0 - 4
2y = -4
y = -4/2
y = -2
now that we know x and y, sub these values in to any of the original equations to find z
z = -2x + 9
z = -2(4) + 9
z = -8 + 9
z = 1
check it...
3x + 2y + z = 9
3(4) + 2(-2) + 1 = 9
12 - 4 + 1 = 9
8 + 1 = 9
9 = 9 (correct)...and it checks out
solution is : (4,-2,1) <====
Answer:
2 4 5 8
Step-by-step explanation:
the numbers must be positioned in ascending order
Explanation:
Let us divide the quadrilateral formed by
A
(
6
,
5
)
,
B
(
2
,
−
4
)
,
C
(
−
5
,
2
)
and
D
(
−
3
,
6
)
in two parts,
Δ
A
B
C
and
Δ
A
C
D
.
Now let us find the lengths of their sides.
A
B
=
√
(
2
−
6
)
2
+
(
−
4
−
5
)
2
=
√
16
+
81
=
√
97
=
9.8489
B
C
=
√
(
−
5
−
2
)
2
+
(
2
+
4
)
2
=
√
49
+
36
=
√
85
=
9.2195
A
C
=
√
(
−
5
−
6
)
2
+
(
2
−
5
)
2
=
√
121
+
9
=
√
130
=
11.4018
Now as
s
1
=
1
2
(
9.8489
+
9.2195
+
11.4018
)
=
1
2
×
30.4702
=
15.2351
And area of
Δ
A
B
C
=
√
15.2351
(
15.2351
−
9.8489
)
(
15.2351
−
9.2195
)
(
15.2351
−
11.4018
)
=
√
15.2351
×
5.3862
×
6.0156
×
3.8333
=
√
1892.2545
=
43.5
A
D
=
√
(
−
3
−
6
)
2
+
(
6
−
5
)
2
=
√
81
+
1
=
√
82
=
9.0554
C
D
=
√
(
−
5
+
3
)
2
+
(
2
−
6
)
2
=
√
4
+
16
=
√
20
=
4.4721
s
2
=
1
2
(
9.0554
+
4.4721
+
11.4018
)
=
1
2
×
24.9293
=
12.4647
And area of
Δ
A
C
D
=
√
12.4647
(
12.4647
−
9.0554
)
(
12.4647
−
4.4721
)
(
12.4647
−
11.4018
)
=
√
12.4647
×
3.4093
×
7.9926
×
1.0636
=
√
361.2547
=
19.01
Hence area of quadrilateral
A
B
C
D
is
43.5
+
19.0
=
62.5
units.
Answer:
Step-by-step explanation:
On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)
