Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 631875: Solve the system of equations. (If the system is dependent, choose any real number c for z.)

3x + y + 2z = 5
4x − 2y + z = −10
11x − 3y + 4z = −15
(x,y,z) = ?
Click here to see answer by ewatrrr(24785)

Question 631901: 2(x-5)=-11
Click here to see answer by Tatiana_Stebko(1539)

Question 631898: 4(2X+3)^2-(2X+3)=0 BY FACTORING
Click here to see answer by Tatiana_Stebko(1539)

Question 631926: how do you solve this with fractions
Click here to see answer by lenny460(1073)

Question 631922: solve for substition x=-1+y
23x-7y=-7
find the solution of this system of equations. find what x= and what y=
Click here to see answer by Maths68(1474)

Question 632161: I cannot figure out how to solve systems by graphing. I have read and read but am so confused. I need to solve the system 2x+y=2; 6x+4y=12.
Please help me figure out the answer and show/explain how. Thanks.
Click here to see answer by josmiceli(19441)

Question 632158: Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c1, c2, ...
3x − 5y + 2z = 2
x − 3y + 2z = 2
5x − 11y + 6z = 6
Click here to see answer by ewatrrr(24785)

Question 632251: i need help on elimination method
please help me to solve this equation
5x-2y=3
2x+5y=4
Click here to see answer by mananth(16946)

Question 632442: I need help graphing the equation x/9 - y/2 = 1
Click here to see answer by richwmiller(17219)

Question 632474: Solve the system of equations and give the value of x.
5x + 2y = 18
2x + 2y = 30
Click here to see answer by Alan3354(69443)

Question 632608: Use the elimination method to solve the system of equations
a+8b=3
a+2b=-3
Click here to see answer by art123(8)

Question 632977:
Click here to see answer by lenny460(1073)

Question 633053: A tugboat goes 120 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without current and the speed of the current.
Click here to see answer by mananth(16946)

Question 632979: 4x-y=5
9x-2y=13
Click here to see answer by lenny460(1073)

Question 633290: Find the value of a and b so that the solution set is (10,11)
a =
b =
Click here to see answer by Edwin McCravy(20055)

Question 633345: If you were to use the substitution method to solve the following system, choose the new system of equations that would result if x was isolated in the second equation.
3x + y + 2z = 1
x + 2y � z = �8
3x � y � 3z = 18
Click here to see answer by Maths68(1474)

Question 633414: Find the unknown:
x + y - 2z = 7
2x - 3y + 2z = 0
x - 2y - 3z = 3
Click here to see answer by ewatrrr(24785)

Question 633486: How do I find the third point on a line when doiing intercepts ?
My problem is
2x-8= -4y and the question asked find the intercepts and plott them.
Click here to see answer by rfer(16322)

Question 633525: Solve the equation by addition:
9x + 4y = 104
x - 5y = 17
x =
y =
Click here to see answer by ewatrrr(24785)

Question 633527: Solve the equation by graphing:
y = x - 2
x + y = 2
x = and y =
Click here to see answer by ewatrrr(24785)

Question 633524: Solve the following equations: (Use any method)
y - 10.7x = -920
6.9x + y = -216
Select one:
(40, -492)
(40, -487)
(45, -487)
(35, -497)
Click here to see answer by ewatrrr(24785)

Question 633523: What type of equations are these:
8y = 7x
-2x = 6y
Select one:
independent
inconsistent
none of the above
dependent
Click here to see answer by ewatrrr(24785)

Question 633625: Which scenario has the system of linear equations: 3x+8y=30 and x+y=5
Click here to see answer by solver91311(24713)

Question 633894: The sum of two numbers equal ten and one number is five times the other. What is the system of equations?
Click here to see answer by stanbon(75887)

Question 634464: i having proble with this math problem 3( 4z - 1) + 2 ( z + 8) = 2 ( z + 1)
Click here to see answer by jim_thompson5910(35256)

Question 354584: Hi,
Could you please help me with the following problems. I don't understand them. Thanks.
1. Select the set of equations that represents the following situation: The cost of six CDs and twelve DVDs is $73.26; and the cost of thirteen DVDs and twelve CDs is $140.11. How much do a CD and a DVD cost?
6x + 12y = 73.26; 13x + 12y = 140.11
6x � 12y = 73.26; 12x � 13y = 140.11
6x � 12y = 73.26; 13x � 12y = 140.11
6x + 12y = 73.26; 12x + 13y = 140.11
2. Select the set of equations that represents the following situation: Mary invested one amount at 7% simple interest, and a second amount at 5% interest, earning $29.80 in one year. If she had switched the amounts, she would have earned $35.00. What were the two amounts?

0.07x + 0.05y = 29.80; 0.07y + 0.05x = 35.00
7x + 5y = 29.80; 7y + 5x = 35.00
0.07x + 0.05y = 35.00; 0.07x + 0.05y = 29.80
7x + 5y = 35.00; 7x + 5y = 29.80
3. To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $16,681.66. What were the amounts of the two loans?
4. A dehydrated patient needs a 6.1% saline IV. Unfortunately, the hospital only has bags of 5% and 7% saline solutions. How many liters of each of these solutions should be mixed together to yield 2 liters of the desired concentration?
5. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x � 4y = 10.5
20x � 16y = 42

Click here to see answer by work123(1)

Question 634466: i having proble with this math problem 3( 4z - 1) + 2 ( z + 8) = 2 ( z + 1 )
Click here to see answer by stanbon(75887)

Question 634466: i having proble with this math problem 3( 4z - 1) + 2 ( z + 8) = 2 ( z + 1 )
Click here to see answer by graphmatics(170)

Question 634474: y=-5.5
Click here to see answer by radh(108)

Question 634494: When i try the solvers and choose elimination it automatically goes to substitution, i need both in order to complete the problem...i Dont know how so i cant complete the rest of the page!
3x - 5y = 7
2x + 5y = 13
Thank You!
Click here to see answer by richwmiller(17219)

Question 634159: An employee at See's Candy Store needs a special mixture of candy. She has creme-filled chocolates that sell for $3.00 per pound, chocolate-covered nuts that sell for $2.70 per pound, and chocolate-covered raisins that sell for $2.25 per pound. She wants to have twice as many raisins as nuts in the mixture. Find how many pounds of each she should use to make 45 pounds worth $2.80 per pound.
--------------------------------------------------

Here's how I set up the problem:
a + b + c = 45
3a + 2.7b + 2.25c = 2.8(45)
Eventually, I ended up with no solution, which I am pretty certain isn't the correct answer. My textbook does not have any example problems of this nature, so I don't really have any idea as to how to go about solving them; any help would be greatly appreciated.
Click here to see answer by richwmiller(17219)

Question 634031: could you should show me the steps to this question and getting the answer.
Find the equation of the line parallel to y=4x-3 that passes through the point (1,1). Y=
thank you
Click here to see answer by richwmiller(17219)

Question 634030: State if the given system of equation is consistent, inconsistent, independent or dependent?
y = 5
y = 2

consistent and independent
inconsistent and dependent
inconsistent only
consistent and dependent
Click here to see answer by richwmiller(17219)

Question 634503: #1 When a family with two adults and three children bought tickets for a movie, they paid a total of $27.25. The next family in line, with two children and three adults, paid $32.25 for the same movie.
a) Write a system of equations with two variables describing the situation above. Define your variables. For example x= �, y=� b) Find the adult and child prices of the movie tickets.
#2 a) Give an example of a linear inequality. b) Would the answer to your inequality be one point? Why or why not?
Click here to see answer by stanbon(75887)

Question 634543: 2y-5x=25&4x+3y=3
Click here to see answer by sachi(548)

Question 634568: Sales. Office Max� recently advertised a three-subject notebook for $2.49 and a five-subject notebook for $3.79. At the start of a recent spring semester, a combination of 50 of these notebooks was sold for a total of $166.10. How many of each type were sold?
Click here to see answer by nyc_function(2741)

Question 634708: i need help finding the answer to this promblem
which linear eqaution represents a line containing the point (1,3)
the answers are
x+2y=5 2x+y=5
x-2y=5 2x-y=5
Click here to see answer by richwmiller(17219)

Question 632926: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)

2x−5y+3z=−32
3x+2y− z= 8
x−3y−4z= 10

Click here to see answer by richwmiller(17219)

Question 634932: Use the method of substitution to solve the system of linear equations.
4a=6-b
4a=2-b
Could you please show me this in detail. I just don't understand it. Thank you
Click here to see answer by jim_thompson5910(35256)

Question 635195: Determine the solution of the system.

y = x + 6
y = 2x
Click here to see answer by richwmiller(17219)

Question 635249: This is substitution:
x+2y=10
3x-2y=-2
Click here to see answer by Alan3354(69443)

Question 635252: By elimination:
x-7y=4
3x+y=-10
Click here to see answer by Alan3354(69443)

Question 635354: Find the value of x if 3x+5/2x+7=4
Click here to see answer by mananth(16946)

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