An equation for the opposite of 2
The question says that the length of the floor of a room is 'y' meters.
Its width is 5 meters shorter than the length,
If the width is 5 meters shorter than the actual width should be:
meters
Now the room is in the shape of a rectangle, so we will use the formula of the perimeter of a rectangle:
Perimeter =
The length of the floor is 'y' meters
The width of the floor is 'y-5' meters
Plugging the values of length and width we get,
![2(y+ (y-5))](https://tex.z-dn.net/?f=2%28y%2B%20%28y-5%29%29)
Question says that the perimeter of the rectangle is
meters.
So,
![2(y+(y-5))=4y+1](https://tex.z-dn.net/?f=2%28y%2B%28y-5%29%29%3D4y%2B1)
We will solve for 'y'.
![2(y+y-5)=4y+1](https://tex.z-dn.net/?f=2%28y%2By-5%29%3D4y%2B1)
![2(2y-5)=4y+1](https://tex.z-dn.net/?f=2%282y-5%29%3D4y%2B1)
![4y-10=4y+1](https://tex.z-dn.net/?f=4y-10%3D4y%2B1)
Since,
![-10\neq 1](https://tex.z-dn.net/?f=-10%5Cneq%201)
The system of equation seems to have no solution.
Hence, no such floor exists.
Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2
Hey! Answer to this is x = 7
I think this is false. p +/- z*sqrt (pq/n) . Notice that the formula has sqrt of n.