Tutors Answer Your Questions about Linear-systems (FREE)
Question 1129779: Pipe A can fill a tank in five hours pipe B can fill it in two hours less than it takes pipe C, a drain pipe ,to empty the tank. with all three pipes open it takes three hours to fill the tank. how long would it take pipe C to empty it?
Click here to see answer by ikleyn(52786)   |
Question 1129786: Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)
x + y + z = 0
2x − y + 3z= 0
x − z= 6
Thank you so much for your help!
Click here to see answer by MathLover1(20850)  |
Question 1129918: Can someone help explain as, I'm confused to what the question is expecting the answer to be.
Solve the following system of linear equations using elimination. (If there are infinitely many solutions, express x, y and z in terms of the parameter n. If there is no solution, enter NO SOLUTION.)
x + y − 5z = 6
x − 2z= 2
2x −y − z= 0
My answer was z= - (-y+4)/ (3). x= 2- (-y+4)/ (3).
Click here to see answer by stanbon(75887) |
Question 1129918: Can someone help explain as, I'm confused to what the question is expecting the answer to be.
Solve the following system of linear equations using elimination. (If there are infinitely many solutions, express x, y and z in terms of the parameter n. If there is no solution, enter NO SOLUTION.)
x + y − 5z = 6
x − 2z= 2
2x −y − z= 0
My answer was z= - (-y+4)/ (3). x= 2- (-y+4)/ (3).
Click here to see answer by MathTherapy(10552)  |
Question 1130101: Can someone please explain and demonstrate how to solve the equation. I’ve been struggling trying to solve it and am still having difficulty. Thank you.
Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)
4/5x − 7/8y + 1/2z = 5
− 4/5x − 3/4y + 1/3z = −12
− 2/5x − 7/8y + 1/ 2z = −7
Click here to see answer by solver91311(24713)  |
Question 1130130: Hi,
I really need some help on this motion problem. Could you give the working out in a table format as well as systems of equations? Thank you!
"Gertrude rows her boat 24 miles downstream in 4 hours. In order to make the return trip upstream in the same amount of time, the rate of the boat in still water was doubled. Find the rate of the current and the rate that Gertrude was rowing downstream."
Click here to see answer by Boreal(15235)  |
Question 1130121: I have been stuck trying to solve this for quite some time and is still having difficulty finding the correct solutions. Could someone please help. Thank you
Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 9%, the Jeep by 5%, and the Toyota by 11%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year? (Round your answers to the nearest integer.)
This is my work and answers I've gotten which are incorrect.
1.09B +1.05J +1.11T= 151, 830
B+J+T=140, 000
J+7000= B
B+J+T= 140,000
(J+7000)+J+T=140,000
2J+T=130,000
1.09B+1.05J+1.11T=151, 830
1.09(J+7000)+1.05J+1.11T=151, 830
1.09J+7630+1.05J+1.11T=151, 830
2.14J+1.11T=144, 200
2J+T=130,000
2.14J+1.11T=144, 200
-1.11(2J+T=130, 000)
(-2.22J-1.11T=147, 630)
+(2.14J+1.11T= 144, 200)
J=4288
2J+T=130, 000
2(4288)+ T= 130, 000
8576+T=130,000
t=124,424
4, 288-124,424= 120,136
BMW= 120, 136. J=4288. Toyota: 4288.
Click here to see answer by math_helper(2461)  |
Question 1130121: I have been stuck trying to solve this for quite some time and is still having difficulty finding the correct solutions. Could someone please help. Thank you
Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 9%, the Jeep by 5%, and the Toyota by 11%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year? (Round your answers to the nearest integer.)
This is my work and answers I've gotten which are incorrect.
1.09B +1.05J +1.11T= 151, 830
B+J+T=140, 000
J+7000= B
B+J+T= 140,000
(J+7000)+J+T=140,000
2J+T=130,000
1.09B+1.05J+1.11T=151, 830
1.09(J+7000)+1.05J+1.11T=151, 830
1.09J+7630+1.05J+1.11T=151, 830
2.14J+1.11T=144, 200
2J+T=130,000
2.14J+1.11T=144, 200
-1.11(2J+T=130, 000)
(-2.22J-1.11T=147, 630)
+(2.14J+1.11T= 144, 200)
J=4288
2J+T=130, 000
2(4288)+ T= 130, 000
8576+T=130,000
t=124,424
4, 288-124,424= 120,136
BMW= 120, 136. J=4288. Toyota: 4288.
Click here to see answer by stanbon(75887) |
Question 1130260: when an $810,000 building is depreciated for tax purpose(by the straight line method), its value y,after x months of use is given by y= 810,000-2250x . How many months will it be before the building is fully depreciated (that is,its value is $0?. How many years in this ?
Click here to see answer by josgarithmetic(39617) |
Question 1130160: The top three sources of oil imports for the United States in the same year were Saudi Arabia, Mexico, and Canada. The three top countries accounted for 45% of oil imports. The United States imported 1.8 percentage points more from Saudi Arabia than they did from Mexico, and 1.3 percentage points more from Saudi Arabia than they did from Canada. What percent of the United States oil imports were from these three countries? (Round your answers to one decimal place.)
Click here to see answer by Boreal(15235) |
Question 1130665: Use two equations in two variables to solve the application.
With the wind, a plane can fly 2,700 miles in 5 hours. Against the same wind, the trip takes 6 hours. Find the airspeed of the plane (the speed in still air).
Click here to see answer by ikleyn(52786) |
Question 1130663: Use two equations in two variables to solve the application.
Students can buy tickets to a basketball game for $2. The admission for nonstudents is $3. If 300 tickets are sold and the total receipts are $670, how many student tickets are sold?
Click here to see answer by ikleyn(52786) |
Question 1130674: Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)
5x-2 / 4 + 1/2 = 3y+2 / 2
7y+3 / 3 = x/2 + 7/3
Click here to see answer by MathLover1(20850) |
Question 1130658: Use two equations in two variables to solve the application.
Chayla and Lena pool their resources to buy several lottery tickets. They win $330,000! They agree that Lena should get $70,000 more than Chayla, because she gave most of the money. How much will Chayla get?
Click here to see answer by ikleyn(52786) |
Question 1130672: Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)
3y + x = 1
y= -1/3 x + 1/3
Click here to see answer by ikleyn(52786) |
Question 1130669: If the equations of a system are written in general form, why is it to your advantage to solve for a variable whose coefficient is 1?
Options are the following:
The variable can be easily eliminated to solve the system.
The variable can be easily distributed to solve the system.
The system can be easily identified as inconsistent.
The system can be easily solved by graphing.
The variable can be easily substituted to solve the system.
Click here to see answer by Boreal(15235) |
Question 1130652: Solve the system using any method. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)
5x − 2y = 22
y= 5/2 x - 11
Click here to see answer by ikleyn(52786) |
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