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

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Question 1006547: 4/x+3/5=10/x what is value of x
Click here to see answer by It is costly(175)

Question 1006548: 2+√5�2-√5=?
Click here to see answer by ikleyn(52787)

Question 1006549: (X-y)^2=12 xy=1 x^2+Y^2=?
Click here to see answer by ikleyn(52787)

Question 1006687: Hi, I am in ALgebra 1 and having a hard time with this problem.
Solve the system of linear equations by any method.
3x-2y=2
x-2/9y=0
So far this is what I have;
3(3x-2y=2)= 9x-6y=6
9(x-2/9y=0)= 9x-2y=0
I subtracted the two equations 4y/4=6/4, y=3/2
I plugged 3/2 into the first equation and got
3x-2(3/2)=2
3x-3=2
+3 each side
divide 3 each side
x= 5/3
I tried to check the equation and the first one worked but the second equation does not. Any help would be great thank you!
Click here to see answer by Alan3354(69443)

Question 1006760: Find value of 'a' that the such points (4,a) and (8,3a) lie on a line with slope m= 1/3
Click here to see answer by stanbon(75887)

Question 1006759: Find value of 'a' when y=(4a-6)x and y= 1/5x
Click here to see answer by It is costly(175)

Question 1007055: Please help me determine whether the equation is always, sometimes, or never true
6x-12+2x=3+8x-15
Click here to see answer by ikleyn(52787)

Question 1007055: Please help me determine whether the equation is always, sometimes, or never true
6x-12+2x=3+8x-15
Click here to see answer by MathTherapy(10552)

Question 1007062: Is the ordered pair (4,3) a solution to the given system:
X+2y=10
3x+5y=3
Click here to see answer by ikleyn(52787)

Question 1007035: Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39
4x � 14y = �68
Click here to see answer by richard1234(7193)

Question 1007156:
Find the quadratic equation of the form y=ax^2+bx+c whose graph passes through the points (2,9) (-2, 13) (1, -2)
Click here to see answer by Fombitz(32388)

Question 1007127: Classify each system. Give the number of solutions.
y - 1 = 2x
y = 2x - 1
Click here to see answer by fractalier(6550)

Question 1007321: V = R + xy solve for r
Click here to see answer by tiffany222(56)

Question 1007851: On my homework it says:
Solve the system of equations through elimination.
2x-3y=21
-6x+2y=7
I have tried so many times but can't figure it out. And how do I know whether to add or subtract?
I'd greatly appreciate it if I could be taught HOW to solve this, not just the answer.
Thank You!
Click here to see answer by tiffany222(56)

Question 1007905: How do you solve these problems?
x+1/y=7
7n-8m=4-2m
Click here to see answer by stanbon(75887)

Question 1008107: A library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. A person spends $26 for 8 books. How many hardcover books did she purchase?
Click here to see answer by fractalier(6550)

Question 1008030: To eliminate the x-terms and solve for y in the fewest steps, by which constants should the equations be multiplied?
First equation: 6x − 5y = 17
Second equation: 7x + 3y = 11
Click here to see answer by fractalier(6550)

Question 1008261: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying
25
gallons of fuel, the airplane weighs
2040
pounds. When carrying
40
gallons of fuel, it weighs
2124
pounds. How much does the airplane weigh if it is carrying
50
gallons of fuel?
Click here to see answer by Alan3354(69443)

Question 1008381: the perimeter of a rectangle field is 500 yards and its area is 14400 sq. yards. what is its lenght and breadth
Click here to see answer by josgarithmetic(39617)

Question 1008433: Help me graph
4x - 4y = 20
Y= -5
Click here to see answer by MathLover1(20850)

Question 1008517: This is solving systems using elimination and idk how to figure this promblem out its
x-4y=-19
-x+6y=27
Click here to see answer by MathLover1(20850)

Question 1008517: This is solving systems using elimination and idk how to figure this promblem out its
x-4y=-19
-x+6y=27
Click here to see answer by MathTherapy(10552)

Question 1008588: -5x-5y=0 x-3=12
Click here to see answer by stanbon(75887)

Question 1008687: 3x+y=-4
2x-7y=5
Click here to see answer by a(4)

Question 1008709: Occasionally, for extra income, I do data entry for local companies. Recently, I was doing data entry for two companies. Between the two companies, I had a total of 6 hours a week I could spend on these projects. I determined that it costs me $4 per hour for Company A projects and $1 per hour for Company B projects. I don't want to spend more than $12 in working on these projects. If my profit is $1 per hour for Company A projects and $5 per hour for Company B projects, how many hours should I spend on projects for each company to maximize my profit?
Click here to see answer by stanbon(75887)

Question 1008713: Determine the solutions for the following systems of equations. Put your answers in ordered triple or quadruple form.
3x -4y + 6z = -7
-2x + y - 5z = -5
x + -y + z = -4
I solved the first one but I got huge answers and ugly fractions so I really need to know where I went wrong! I got (-59/29,-32/29,-218/29). These cannot be right!! Please help, thank you!

The second one is
x + y - z + 2w = 5
-3x + 7y -5z +4w = 13
2x -3y +2z -w = -4
x -4y +3z -3w =-9
I didn't attempt this one because I got such a strange answer for the first one I didn't want to do the whole thing only to find I did it all wrong.
Thanks again, any help is appreciated.

Click here to see answer by Fombitz(32388)

Question 1008715: The number x of smartphones a manufacturer is willing to sell is given by
x = 19p − 1400,
where p is the price, in dollars, per smartphone. The number x of smartphones a wholesale distributor is willing to purchase is given by
x = −5p + 1000,
where p is the price per smartphone. Find the equilibrium price.
Click here to see answer by addingup(3677)

Question 1008638: z varies jointly as the square root of the product of x and y. If z is equal to 3 when x is equal to 3 and y is equal to 12,find x when z is equal to 6 and y is equal to 64.
Click here to see answer by fractalier(6550)

Question 1008760: If 12b=1,then 4b=?

Click here to see answer by stanbon(75887)

Question 1008727: Second attempt at this problem. I tried 2 different methods, by matrices and elimination and got strange answers each time. In desperate need of help, I am so frustrated! thank you.

x + y - z + 2w = 5
-3x + 7y -5z +4w = 13
2x -3y +2z -w = -4
x -4y +3z -3w =-9
Click here to see answer by fractalier(6550)

Question 1008837: The question is: Water is flowing from Tank 1 to Tank 2. Tank 1 had 1540 gallons in it and Tank 2 had 236 gallons. Water drains out of Tank 1 at 6 gallons a minute into Tank 2. Find out how long it takes to the nearest minute for the two tanks to have the same number of gallons. Will it take longer or shorter than 2 hours? Justify.
PLEASE HELP!!! I'm being overloaded with homework this whole week because of upcoming semester finals and I can't think straight right now! Thank you in advance for who ever that answers this question! :)
Click here to see answer by josgarithmetic(39617)

Question 1008531: 1/x+1/y=5
2/x+3/y=13
Click here to see answer by fractalier(6550)

Question 1009242: The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages of James and Dan. How old is each person?
Click here to see answer by LinnW(1048)

Question 1009335: What must be added to x2^-7x to make it a perfect square?
Click here to see answer by fractalier(6550)

Question 1009335: What must be added to x2^-7x to make it a perfect square?
Click here to see answer by MathLover1(20850)

Question 1009399: Please help me solve by elimination
-2x - 5y = 9
3x + 11y = 4
Click here to see answer by Alan3354(69443)

Question 1009468: Alex is selling tickets to a school play . An adult ticket costs $6.50 and a student costs $4.00. Alex sells x adult tickets and 12 student tickets. Write a function, f(x) , to represent how much money Alex collected from selling tickets. I
Click here to see answer by fractalier(6550)

Question 1009665: What is the x value of the solution to this system of equations? 3x+2y=6 2x+y=2
Click here to see answer by macston(5194)

Question 1009750: How do I graph the solution of the system of linear inequalities
x<4y+2
x+y<0
Click here to see answer by josgarithmetic(39617)

Question 1009750: How do I graph the solution of the system of linear inequalities
x<4y+2
x+y<0
Click here to see answer by MathLover1(20850)

Question 1009895: The sum of the digits of a two digit number is 12. The difference of the same two digits is -2. What are the two possible two-digit numbers?
Click here to see answer by Alan3354(69443)

Question 1009896: The perimeter of a rectangle is 76 cm. if the width is doubled and the length is halved, the new rectangle has a perimeter of 62 cm. What are the dimensions of the original rectangle and what is the area of the new rectangle?
Click here to see answer by josmiceli(19441)

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