Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:
8x-20y = -24
8x +3y = 68
------------
0 -23y = -92
Now divide both sides by -23:
y = 4
Find x by plugging y=4 into either equation:
8x +3(4) = 68
8x = 68 - 12
8x = 56
x = 7
So the answer is ordered pair is (7,4)
Answer:
x=4 y=1 or (4,1)
Step-by-step explanation:
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
Answer:
60 liters
Step-by-step explanation:
360/12=30
30x2=60 liters
Hope this helps! :)
Answer:
the length of the first side of the triangle is 
the length of the second side of the triangle is 
the length of the third side of the triangle is
Step-by-step explanation:
Let
x-----> the length of the first side of a triangle
y----> the length of the second side of a triangle
z---> the length of the third side of a triangle
we know that
-----> equation A

-----> equation B
The perimeter of the triangle is equal to


so
-----> equation C
substitute equation A and equation B in equation C

solve for x


Find the value of each side
the first side of a triangle is x

the second side of a triangle is y

the third side of a triangle is z