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

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Tutors Answer Your Questions about Linear-systems (FREE)


Question 202417: Solve the given system by use of substitution:

2x-5y=32
8x+62=y

Click here to see answer by jim_thompson5910(28504) About Me 

Question 202418: Solve the given system by use of substitution:

4m+n=26
m-3n=26

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Question 202419: Solve the given system by use of substitution:

4x+5y=8
-6x+y=56

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Question 202420: Solve the given system by use of substitution:

3x+8y=66
-3x+y=15

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Question 202421: Solve the given system by use of elimination:

5x+2y=-13
7x-3y=17

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Question 202422: Solve the given system by use of elimination:

0.3x-0.2y=4
0.5x+0.3y=1



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Question 202424: Solve the given system by use of elimination:

4x-9y=10.5
7y-2x=-6.5



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Question 202425: Solve the given system by use of elimination:

0.05x+0.25y=11
0.15x+0.05y=12





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Question 202430: solve the following system by the addition method:
{7x-6y=13} by
{6x-5y=11)

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Question 202442: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
Thanks janet

Click here to see answer by stanbon(57246) About Me 
Question 202442: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
Thanks janet

Click here to see answer by jim_thompson5910(28504) About Me 

Question 202454: x-4y=29
x-y=5

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Question 202454: x-4y=29
x-y=5

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Question 202504: Please help me solve this word problem:
An airplane can travel a distance of 6,000 km in 6 hours with the wind. The return trip against the wind takes 7.5 hours. The rate of the airplane in still air is
a. 1,000 km/hr
b. 994 km/hr
c. 900 km/hr
d. 800 km/hr

Click here to see answer by Theo(3458) About Me 

Question 202506: Please help me answer this word problem:
The length of a rectangular board is 3 feet less than twice its width. A second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. If the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?

Click here to see answer by Theo(3458) About Me 

Question 202577: Wondering if I am on the right track with my problem:
I need to find the slope of the ling 2y=x
I am thinking I would set up the problem as such:
2y=x
y= (1/2)*x
slope = 1/2

Thanks for the help - Lori

Click here to see answer by solver91311(16868) About Me 

Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

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Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

Click here to see answer by jim_thompson5910(28504) About Me 
Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

Click here to see answer by MathTherapy(1421) About Me 

Question 202701: Solve the following problems for X,Y and Z
X+Y+2Z=5
X+Y=5
X+3Y+Z=11

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Question 202705: Please help me solve this word problem:
Gustav invested all of his $3,000 savings: a part in annual rate of 6% and the rest at an annual rate of 9%. His annual income from both investments is equivalent to 8% of his total investment. How much is invested at 9%?

Click here to see answer by rfer(12647) About Me 

Question 202745: Solve
9/10 (7+2x)+2 ≥ 14
--------------------
63/10 +9/5 x+2 ≥ 14
9/5x+83/10 ≥ 14
subtract 83/10
9/5x + 83/10-83/10 ≥ 14-83/10
9/5x ≥ ?/10 ( I'm a little confuse and could you help me out here please?)
Then multiply 5/9
9/5x * 5/9 ≥ ?/10*5/9 (And here?)
x ≥ ?
Thank you!

Click here to see answer by jim_thompson5910(28504) About Me 
Question 202745: Solve
9/10 (7+2x)+2 ≥ 14
--------------------
63/10 +9/5 x+2 ≥ 14
9/5x+83/10 ≥ 14
subtract 83/10
9/5x + 83/10-83/10 ≥ 14-83/10
9/5x ≥ ?/10 ( I'm a little confuse and could you help me out here please?)
Then multiply 5/9
9/5x * 5/9 ≥ ?/10*5/9 (And here?)
x ≥ ?
Thank you!

Click here to see answer by rfer(12647) About Me 

Question 202709: 7. Solve for X,Y and Z
2X+2Y+4Z=10
3X+3Y=15
4X+12Y+4Z=44


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Question 202807: a total of 27000 was invested, part of it at 10% and part at 12%. the total yield was 2990. how much was invested at each rate?
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Question 202806: The perimeter of a lot is 190 m. The width is one fourth the length. Find the dimensions.
Could you please help me leabel them like 1,2,1a,2a,3,3 into 1,etc.

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Question 202806: The perimeter of a lot is 190 m. The width is one fourth the length. Find the dimensions.
Could you please help me leabel them like 1,2,1a,2a,3,3 into 1,etc.

Click here to see answer by rfer(12647) About Me 

Question 202824: I have no idea do even start this problem I reallly need help.
The album thriller was released in december of 1983, when the king of pop was worth $37 million. when thriller finally fell from the billboard top 10 in july 1985 micheal's net worth was $193 million.
Using december 1983 as a reference month, determine a liner function that can ve used to estimate Micheals net worth during the thriller albums billboard top 10 period. let your time variable represent the number of months since december.
I was thinking that i would have to do something like subtract 37 from 193 or something but im not confident about it..help?!?!

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Question 202845: Find the LCD for the following; then add as indicated.
1/4+1/3+1/5+1/6

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Question 202850: Find the LCD for the following; then add as indicated.
16/35+11/56

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Question 202913: -4x+7y=9
2y=-5x-22
solve using addition method

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Question 202932: The system of equations 2/3x +1/2y = 2 and 4x +3y = 12 is:
a. non-linear
b. inconsistent
c. dependent
d. consistent

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Question 202943: Explain how to apply elimination in solving a system of equations; apply substitution in solving a system of equations. Demonstrate each technique in solving the system
2x + 7y = 12
5x - 4y = -13

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Question 203036: One number is 4 less than another number. The sum of the two numbers is four times their difference. What are the two numbers?
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Question 203073: -3x+y=3 and 2x-y=-1
what is the solution

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Question 203093: 1.Use the Substitution method to solve the system of equations.
x + y = 10
y = x + 8
2.Use the Substitution method to solve the system of equations.
3x + y = 5
4x - 7y = -10
3.Use the Substitution method to solve the system of equations.
y - 2x = -5
3y - x = 5

can you please help me solve each step by step so i can under stand

Click here to see answer by jim_thompson5910(28504) About Me 

Question 203068: Please help me solve this word problem.
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mils per hour and train B is traveling at 70 mils per hour. Train A passes a station at 5:15 A. M. if train B passes station at 5:27 A.M, what time train b catch up train A?
Thank you!

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Question 203190: what are 3 ordered pairs that are solutions to 3x+y=1
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Question 203199: finding solution by graphing solve by graphing x+4y=-6 2x-3y=-1
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Question 203228: How do we write the equation of a vertical line? What would be an example?
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Question 203232: adult ticket prices are 8 dollars kid ticket prices are 5 dollars if 500 tickets were sold and the total amount of the tickets equals 3475 dollars, how do i find how many adult and child ticket prices were sold?
I got the answer I came up with 325 adults, and 175 kids, but HOW do I show the work, how do I set up the equation. it was on my job interview today... i felt really stupid

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Question 203227: How do we write the equation of a horizontal line? What would be an example?
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Question 203229: The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.
The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999) all lie on line N.
a. Form the equations of both the lines. Show your work.
b. What are the co-ordinates of the point of intersection of lines M and N?
c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
d. Write the co-ordinates of the intersection of lines M and N with the y-axis. Could you help me with these? This is very difficult for me. You are very much appreciated.

Click here to see answer by Earlsdon(6287) About Me 

Question 203240: For a hiking trip, you are making a mix of x ounces of peanuts and y ounces of chocolate pieces. You want the mix to have less than 70 grams of fat and weigh less than 8ounces. An ounce of peanuts has 14 grams of fat, and an ounce of chocolate pieces has 7 grams of fat. Write and graph a system of inequalities that models the situation
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Question 203324: Find both the x and y intercepts of the line 3x+2y=-18
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