Answer: 4. (-1,-1) 3. (3,-2)
4)
Set the equations equal to each other.
4x+3=-x-2
Subtract 3 from both sides
4x=-x-5
Add x to both sides
5x=-5
Divide both sides by 5
x=-1
Next, replace x with -1 in either equation to find y.
-(-1)-2=y
-1=y
3)
Do the same thing for this one and set them equal to each other
-2x+4=-1/3x-1
Add 1 to both sides
-2x+5=-1/3x
Add 2x to both sides
5=5/3x
Divide both sides by 5/3
x=3
Next, replace x with 3 in either equation
-2(3)+4=y
-2=y
158.71 rounded to the nearest ten dollars would be $160.00
then to estimate 10% since 10% starts with a 1, just remove the zero from both numbers
so 160 becomes 16
the tip would be $16
0.8
you find how much he needed so:
24*0.3=7.2
than 8 he had , so whats left over
8-7.2=0.8
Answer:
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The inverse of matrix is (43, -11, 2).
<h3>What is inverse of matrix?</h3>
A matrix is a multidimensional generalization of the concept of reciprocal of a number: the product between a number and its reciprocal is equal to 1; the product between a square matrix and its inverse is equal to the identity matrix.
given equation:
x + 5y + 10z = 8
y + 4z = -3
x+6y + 15z = 7
The cofactors of the matrix is
C_11 = -9
C_12= 4
C_13=-1
C_21 = -15
C_22= 5
C_23 = -1
C_31= 10
C_32= -4
C_33= 1
The cofactor matrix is,
![\left[\begin{array}{ccc}-9 & 4 & -1\\-15 & 5 & -1\\10 & -4 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%204%20%26%20-1%5C%5C-15%20%26%205%20%26%20-1%5C%5C10%20%26%20-4%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The transpose of matrix,
![\left[\begin{array}{ccc}-9 & -15 & 10\\4 & 5 & -4\\1 & -1 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%20-15%20%26%2010%5C%5C4%20%26%205%20%26%20-4%5C%5C1%20%26%20-1%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The determinant of matrix is = 21.
The augmented matrix is attached below
Hence, the inverse of matrix is (43, -11, 2).
Learn more about this concept here:
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