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

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Question 333420: Can you help please. I need to use elimination to solve this system. I have been struggling for a couple of days. I need to show my work. Thanks in advance.
x-y=3
x+3y=3

Click here to see answer by rfer(16322) About Me 

Question 334119: use the echelon method to solve the system of two equations in two unknowns.
x-3y=-4
-7x-2y=28
please show work

Click here to see answer by solver91311(24713) About Me 

Question 334121: Find the monthly house payment necessary to amortize the following loan.
In order to purchase a home, a family borrows $167,000 at 8.2% for 15 yr. What is their monthly payment? Round the answer to the nearest cent.
A)$1615.28 B)$1141.17 C)$11,751.63 D)$1865.85
please show work

Click here to see answer by rfer(16322) About Me 

Question 334799: Will someone please show me how to find determinant A by expanding by column 1,
Given Matrix A:
(1 3 4)
(2 -1 3)
(3 1 -2)
Any help would be great.
Thanks, -Nick.

Click here to see answer by Alan3354(69443) About Me 

Question 334985: If a+b=15, a+c=16, and b+c=11, how do you get a b and c on the calculator?
Click here to see answer by stanbon(75887) About Me 
Question 334985: If a+b=15, a+c=16, and b+c=11, how do you get a b and c on the calculator?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 335600: 1. find the sum of the first 25 terms for 6, 11, 16, 21...
2. give the rule for 5, 10, 20, 40...
3.what is the 50th term of an=4n-3?
4. if r=3 and a1=6 what is the rule?
5. what is false about 7,14,28,56...

Click here to see answer by nyc_function(2741) About Me 

Question 335367: solve using matrices:
2x-y=6,
8x+2y=0

Click here to see answer by Fombitz(32388) About Me 

Question 335524: 3x+y+z=5
4x+5y-z=-8
10x+7y+z=2
Solve by Gauss-Jordan method

Click here to see answer by CharlesG2(834) About Me 

Question 336153: How do I solve this problem. I know it's done through matrices but I'm still very confused on the concept so explanation would be greatly appreciated.
3x-y+z= -9
2x+y-z= -1
x-y-z= -7

Click here to see answer by tinbar(133) About Me 

Question 335887: what is the determinant of the matrix
B= 6 6 2 1 4
3 7 3 6 5
3 0 6 3 0
7 6 4 2 -2

Click here to see answer by Fombitz(32388) About Me 

Question 336938: I need help in the matrix problem.
Click here to see answer by solver91311(24713) About Me 

Question 337293: what is the answer to the equation 6x+3=4x+11
Click here to see answer by stanbon(75887) About Me 

Question 337292: what is the answer to the equation 6x+3=4x+11
Click here to see answer by scott8148(6628) About Me 

Question 337486: what is tha answer for 3(a-b)/9+4/9b
Click here to see answer by Fombitz(32388) About Me 

Question 338743: i have difficulty in this question..help me!
find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21).
and the answr should be f(x)= __x^2+__x+__

Click here to see answer by Fombitz(32388) About Me 

Question 339458: Matrices subtraction B-CF
B=%28matrix%282%2C2%2C2%2C8%2C.6%2C3%29%29
C=%28matrix%282%2C3%2C12%2C0%2C1.5%2C1%2C-6%2C7%29%29
F=%28matrix%283%2C2%2C-2%2C0%2C0%2C8%2C2%2C1%29%29

Click here to see answer by Edwin McCravy(20054) About Me 

Question 341372: 30=-5(6n+6)
Click here to see answer by rfer(16322) About Me 

Question 341500: Use determinants to determine the number of solutions for each of the following systems.Do Not solve the systems.
A)3x-y= -6
2x= 3y+2


B)3x-y=7
6x-2y=10

Click here to see answer by stanbon(75887) About Me 

Question 341598: A=%28matrix%282%2C2%2C2%2C-5%2C3%2C1%29%29
Evaluate the square of A and find x,y,z, not all zero, such that the matrix

xI+yA+zAA is the zero matrix.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 343462: A dietitian wants a patient to have meal with 66 grams of protein, 94.5 grams of carbohydrates, and 910 milligrams of calcium. The meal is composed of chicken, corn, milk. Each serving of chicken has 30 grams of protein, 35 grams of carbs, and 200 milligrams of calcium. Each serving of corn has 3 grams of protein, 16 grams of carbs, and 10 milligrams of calcium. Each serving of milk has 9 grams of protein, 13 grams of carbs, and 300 milligrams of calcium. How many servings of each need to be given to the patient?
I got the problems set up like this:
chicken=x
corn=y
milk=z
30x+3y+9z=66
35x+16y+13z=94.5
200x+10y+300z=910
I am pretty sure I need to do matrices , but don't know how to break it down? Can you please help me?

Click here to see answer by Fombitz(32388) About Me 

Question 343616: 7x-4=31
Click here to see answer by rfer(16322) About Me 

Question 343596: Solve using elimination method
5x-2y=-4
3x-5y=6

Click here to see answer by Fombitz(32388) About Me 

Question 343991: Solve by the Gauss-Jordan elimination:
x+y+2z+t=1
x+2y+z+t=2
2x+y+z+t=4
x+y+z+2t=3

Click here to see answer by Edwin McCravy(20054) About Me 

Question 344039: the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per pound for sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40?
Click here to see answer by stanbon(75887) About Me 

Question 344118: the sum of three numbers is 41. the first is ten less than the third and the second is one less than twice the third. What are the three numbers?
Click here to see answer by rfer(16322) About Me 

Question 343996: Decompose into partial fractions:
3x^2+13x+20/x^3+4x^2+4x

Click here to see answer by Fombitz(32388) About Me 

Question 343995: Decompose into partial fractions:
x^2+1/(x+1)^3

Click here to see answer by Fombitz(32388) About Me 

Question 345628: For questions 20 and 21, use the matrices below: A=[17 2 3/11 4 -9] B=[10 6 -7/-4 3 0] C=[-1/2/-2]
Find A-B
Find BC, if possible
Please show work.
Thank you so much for all of your help!!!

Click here to see answer by Fombitz(32388) About Me 

Question 345644: Evaluate: |12 5 -2/ -3 0 1/ -5 4 2|
Please show work.
Thank you so much for all of your help!!!!

Click here to see answer by Fombitz(32388) About Me 

Question 345654: Evaluate: |12 5 -2/ -3 0 1/ -5 4 2|
Thank you so much!!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 345680: Need help with systems of equations using matrices.
Don't know how to set up this problem.
A change machine contains nickels, dimes, and quarters. There are 75 coins in the machine and the value of the coins is $7.25. If there are 5 times as many nickels as dimes, find the number of coins of each type in the machine.
Need by 9pm tonight (if possible). Thank you for your time.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 345687: determine the equation of a line passing through the points (1,6) and (-3,-10) using matrix equation.
Click here to see answer by Fombitz(32388) About Me 

Question 346098: I need to find the intersecting points of two equations: y=.15x and y=.2(x-20)and graph them. I have included my problem and what is expected. I'm lost.
Ok this is what I got :
You would set the two equations equal to each other and solve for x
.15x=.2(x-20) using the Elimination Method
Reorder the terms:
0.15x = 0.2(-20 + x)
0.15x = (-20 * 0.2 + x * 0.2)
0.15x = (-4 + 0.2x)
Solving
0.15x = -4 + 0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.2x' to each side of the equation.
0.15x + -0.2x = -4 + 0.2x + -0.2x
Combine like terms: 0.15x + -0.2x = -0.05x
-0.05x = -4 + 0.2x + -0.2x
Combine like terms: 0.2x + -0.2x = 0.0
-0.05x = -4 + 0.0
-0.05x = -4
Divide each side by '-0.05'.
x = 80
Simplifying
x = 80
Now that X = 80, I plugged it into the equation y=0.15x and got this:
y=0.15x
y=0.15(80)
y= 12
Now this is the question to my problem and I do not know how to get the answer. I have to graph this and show the intersection.
a teacher is looking for the best option in purchasing school supplies for a classroom. Where Company A is offering a discount for every dollar amount spent on school supplies and where Company B is offering a higher discount than Company A, but the discount for Company B is only offered for every dollar amount spent above $20.00. I will determine and explain which company will offer a better price based upon the dollar amount the teacher spends on school supplies.
Option 1- Company A will offer her a 15% discount on the total amount spent in the store.
Option 2- Company B will offer her a 20% discount on the remaining amount after the first $20 is spent.
Depict the situation graphically, using appropriate graphing software such as Excel or an online graphing utility.
Include the following in your graph:
• A depiction of each cost option on the same graph
• Clear labels of the cost to the hypothetical customer for both options on the graph
• The intersection of the cost options (if one exists)
I'm so lost. I do not know how to graph this. Please help if you can.

Click here to see answer by Fombitz(32388) About Me 
Question 346098: I need to find the intersecting points of two equations: y=.15x and y=.2(x-20)and graph them. I have included my problem and what is expected. I'm lost.
Ok this is what I got :
You would set the two equations equal to each other and solve for x
.15x=.2(x-20) using the Elimination Method
Reorder the terms:
0.15x = 0.2(-20 + x)
0.15x = (-20 * 0.2 + x * 0.2)
0.15x = (-4 + 0.2x)
Solving
0.15x = -4 + 0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.2x' to each side of the equation.
0.15x + -0.2x = -4 + 0.2x + -0.2x
Combine like terms: 0.15x + -0.2x = -0.05x
-0.05x = -4 + 0.2x + -0.2x
Combine like terms: 0.2x + -0.2x = 0.0
-0.05x = -4 + 0.0
-0.05x = -4
Divide each side by '-0.05'.
x = 80
Simplifying
x = 80
Now that X = 80, I plugged it into the equation y=0.15x and got this:
y=0.15x
y=0.15(80)
y= 12
Now this is the question to my problem and I do not know how to get the answer. I have to graph this and show the intersection.
a teacher is looking for the best option in purchasing school supplies for a classroom. Where Company A is offering a discount for every dollar amount spent on school supplies and where Company B is offering a higher discount than Company A, but the discount for Company B is only offered for every dollar amount spent above $20.00. I will determine and explain which company will offer a better price based upon the dollar amount the teacher spends on school supplies.
Option 1- Company A will offer her a 15% discount on the total amount spent in the store.
Option 2- Company B will offer her a 20% discount on the remaining amount after the first $20 is spent.
Depict the situation graphically, using appropriate graphing software such as Excel or an online graphing utility.
Include the following in your graph:
• A depiction of each cost option on the same graph
• Clear labels of the cost to the hypothetical customer for both options on the graph
• The intersection of the cost options (if one exists)
I'm so lost. I do not know how to graph this. Please help if you can.

Click here to see answer by mananth(16946) About Me 

Question 346215: How do I find the inverse of [5 3]
[7 9]? (That's supposed to be a matrix, I didn't know how to make one on here)
So far I have gotten the determinant of 21 but I don't remember what to do from there.
Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 346360: help
Click here to see answer by checkley77(12844) About Me 

Question 346663: 9x-6y=-12
x+2y=0

Click here to see answer by Fombitz(32388) About Me 

Question 346964: 6(2/3[2 3 1/2[-4 2
6 -5 3 0
-1 0]+ 1 -8])
this is the best i can do i hope you can read it.

Click here to see answer by haileytucki(390) About Me 

Question 347420: solve the following equation..
0 0-1
3 x 0 =x^2
2 0 3

Click here to see answer by fractalier(6550) About Me 

Question 347425: find the sum of the following matrices
2 0
3 -3
+
0 -3
-3 8

Click here to see answer by jim_thompson5910(35256) About Me 

Question 347423: find the product of
2 3 5
0 1 2

x
4 2
-1 0
-3 2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 347506: given the matrix A=
2 3
0 -1
1 4
what are its dimensions?

Click here to see answer by Fombitz(32388) About Me 
Question 347506: given the matrix A=
2 3
0 -1
1 4
what are its dimensions?

Click here to see answer by jsmallt9(3758) About Me 

Question 347565: solve the system using eliminaton or sustitution
-3x+y-z=-2
2x-y-2z=-12
4x+2y+z=1

Click here to see answer by haileytucki(390) About Me