Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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Question 694303: You have $2.60 in quarters and dimes. You have five fewer quarters than dimes. What would the associated system of equations look like in augmented matrix form?
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Question 694613: How would you find the element of a matrix? I'm very confused!
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Question 695207: how do you identify the indicated elements for example
a32

A= 3 12 6
1 0 9
8 7 4
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Question 695312: -x+5y=2
x-2y=-2 solve using cramer's rule
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Question 695312: -x+5y=2
x-2y=-2 solve using cramer's rule
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Question 697520: witam, proszę o pomoc w zadaniu w którym trzeba rozwiązać równanie AX=B gdzie
A=0 1
-2 4
B= 2 -1
-3 2
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Question 698435: I have so much trouble with matrices, I wish I could be better at them. I'm trying to solve the system.
I have the system:
{3x + 2y = -6
{2x - 3y = 61
I converted the system into a matrix equation:
|3, 2|
|2,-3|
Find the determinate:
(3*-3)-(2*2)
-13
So since I got -13, it would appear as 1/-13. right?
After getting that, I changed matrix equation into:
|-3,-2|
|-2, 3|
And I'm stuck here. It's probably hard to comprehend what I'm trying to say, but please help me with the rest of the problem.
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Question 700532: What is the discriminant of -8n^2+8n+6=8? and how many solutions does it have and what type are they?
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Question 700955: Create a matrix that represents the system of equations:
-12x-13y+13z=15
7x-10y-3x=11
7x+14y+5z=-5
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Question 700955: Create a matrix that represents the system of equations:
-12x-13y+13z=15
7x-10y-3x=11
7x+14y+5z=-5
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Question 701595: How do you add and subtract a 3X2 matrice and a 2X3 matrice?
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Question 703113: Jason jumped off a cliff into the ocean. His height function can be modeled by h(t)= -16t^2+16t+480
How long did it take for Jason to reach his maximum height. What is the highest point he reached. Jason hit the water in how many seconds
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Question 703262: solve the system of equations using a matrix
x+3y=5
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Question 703536: Find all real values of k for which 2x squared plus kx plus 3 equals 0 has a double root.
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Question 703562: It appears that in order to search the archives I need to do it problem by problem. Is there a way to search the archives by typing in the problem or key words to find the exact problem or a similar problem?
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Question 703923: X-5y=-4
X+8y=-4
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Question 704449: 
Let C=    and D=
[-4 -4]  [ 0 -2]
[ 0  2]  [ 5  7]
[ 4  5]  [-1  2]

Find C+D.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 704971: How would you solve this system?
2 x1 + x2 = -3
-8 x1 -4 x2 = 12
How would you put this in the form x1 + something s, x2 + something s?
I tried putting it in a 3 by 2 matrix and reducing, but it didn't work.
Thanks!
Click here to see answer by josgarithmetic(39613) About Me 
Question 706476: 10x + 9y = 12
3x - 4 y = 17
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Question 709154: 6x+y=13
4x+2y=2
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Question 710031: if A=
3 0 0
0 3 0
0 0 3
A^4 = ?
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Question 710737: Solve the matrix equation:
%28matrix%282%2C2%2C4%2C-5%2C1%2C2%29%29%28matrix%282%2C1%2Cm%2Cn%29%29%22%22=%22%22%28matrix%282%2C1%2C32%2C-5%29%29
please show work...I'm stuck on this and cannot figure out what to do..thanks
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Question 714069: Can you solve 4x - 3y = 5 and -2x + y = -3
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Question 714146: Use elimination to solve each system.
3x + 2y = - 4
4x - 2y = -10
(PLEASE SHOW ALL STEPS)
Thanks!
Click here to see answer by solver91311(24713) About Me 
Question 716951: An airplane begins a flight with a total of 136 litres of fuel stored in two separate wing tanks. During the flight 26.7% of the fuel in one tank is used. In the other tank, 45.6% of the fuel is used. If 41 litres of fuel is used in total, find the amount of fuel (in litres) in each tank remaining at the end of the trip.
Click here to see answer by josmiceli(19441) About Me 
Question 716949:
An engine has a 6.6 litre capacity cooling system. If the most ideal solution of antifreeze for this engine is a 57.6 % solution (a mix of 57.6 % pure antifreeze and 42.4 % water). How much pure antifreeze (in litres) must be combined with a 29.4 % solution to achieve 6.6 litres of the ideal solution?
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Question 717092: x+3y-z=0
2x-y+4z=0
x-11y+14z=0
please solve the system of equations using matrix inverse method
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Question 718044: Jetl
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Question 718891: what is the solution of system? solve using matrix. x+2y=9 x+y=1
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Question 719021: "Solve the system of linear equations, using row echelon form."
Eq 1. 2x + 2z = 2
Eq 2. 5x + 3y = 4
Eq 3. 3y - 4z = 4
I am getting different answers everytime, while the book says the answers are (-4,8,5).
Help me please.
Click here to see answer by solver91311(24713) About Me 
Question 719021: "Solve the system of linear equations, using row echelon form."
Eq 1. 2x + 2z = 2
Eq 2. 5x + 3y = 4
Eq 3. 3y - 4z = 4
I am getting different answers everytime, while the book says the answers are (-4,8,5).
Help me please.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 720764: Solve the following equation:
[-3 -1 -71] = [-3 41 7] - 3x
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Question 721012: I need help with everything in Algebra 2, Can you help me from the beginning?
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Question 721601: Suppose A and B are nxn matrices. Which of the following statements is true?
1. If B is obtained from a by tripling the first row of A then det (B) = 3%5En det (A).
2. If B is obatinde by adding 3 times the first row of A to the last row of A then det (B) = +3%5En+ det (A).
Click here to see answer by jsmallt9(3758) About Me 
Question 721628: Which is true
A.The system x + 3y + z = 0
2x - 4y + z = 0
7x + y + 7z = 0
has infinitely many solutions.
B. if the determinant of the coefficient matrix of a non-homogeneous system is 0 then the system has no solution.
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Question 722069: How do I solve a problem when the variables are apart of the fraction?
2/y + 3/x + 8 = 0
4/z - 2/x + 5 = 0
1/y + 4/z = -5
Click here to see answer by mananth(16946) About Me 
Question 722395: Hello,
I need help answering the following problem.
Given the matrix A=
(a 3 2)
(a -4 8)
(2 6 a)
I need help finding the values of (a) which make the determinant A= 0. I have tried using co-factor expansion and solving for 0 but I get a non-factorable solution.
Click here to see answer by MathLover1(20849) About Me 
Question 723504: Sarah blends coffee for tasti-delight. She needs to prepare 190 lbs of blended coffee beans selling for $3.58 per pound. She plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $2.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she would blend.
Click here to see answer by josgarithmetic(39613) About Me 
Question 724156: 3x+2y+2z=7
x+4y+4z=9
6x+2y+6z=14
Click here to see answer by Alan3354(69443) About Me 
Question 728981: Determine whether or not each system has a unique solution, no solution or infinite solutions
If a solution exists write it down

X+y+2z = 6
-x-y+z = -3
2x+y+3z = 7
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Question 729339: Matrix A is horizontal and it has 1,2,3 as its members. Matrix B is vertical and it has 0,3,1 as its members. The dot product of these two matrices is?
... My answer is 10
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Question 729671: Does this system have a unique solution, no solution, or infinite solution?
x=2y/3
y=4x+5
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Question 730644: Determinate
3y-z-4=0
Y+2z-13=0
2y-5z+11=0
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Question 730701: Find the ordered triple of these equations.
x + y + z = 16
x - z = 12
y = -2
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Question 731052: On determinant
2x+3y-z-4=0
3x+y+2z-13=0
X+2y-5z+11=0
Find the value of x, y, z.
Click here to see answer by lynnlo(4176) About Me