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

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Tutors Answer Your Questions about Linear-systems (FREE)


Question 244772: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x - 2 = y
y - 5x = 1
Here is what I put as my answer not sure if I did it right
5x-2=y
+2 +2
________
5x=y+2
________
5 5
x=y+2/5
y-5(y+2/5)=1
y-5y+10/5=1
y+5-5y+10/5=1
5*4y+15/5=1
4y+15=1
-15 -15
_______
4y=-14
_______
4 4
y=3.5 (3 1/2)
x=(3 1/2+2)/5
x=5 1/2/5
x= 11/10
I have another one if you don't mind also
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-0.9x + 0.8y = 14.6
-0.3x + 0.1y = 3.7
Here is what I put as an answer
-9x+8y=146
-3x+1y=37
__________
-27x-24y=438
+27x+9y=338
____________
15y=100
________
15 15
y=6 1/3
-9x+8*19/3=146
8/1*19/3=152/3
9x+152/3=146
-152/3 -152/3
________________
-9x=286/3
__________
-9 -9
x=286/3/9
x=286/27
Please respond ASAP

Click here to see answer by MRperkins(300) About Me 

Question 244763: Solve by using elimination method.
-4x-2y=3
2x+y=1

separate problem:
2x+y=1
-x-y=-3

Click here to see answer by jim_thompson5910(28555) About Me 

Question 244750: 3x-5y=-3,-9x-15y=9 how do you solve using the elimination method?
Click here to see answer by jim_thompson5910(28555) About Me 

Question 244891: please help me solve the equation.3(x+2)-(3x+6)=0
5(2z-3)=9(z+2),8x-(3x-1)=2

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

Question 244872: find the equation of the line perpendicular to x-3y=7, containing the point (3,5)
Click here to see answer by Mr. Feliz(12) About Me 

Question 244928: john needs to rent a theatre for a concert. The theatre charge $700 plus $3per person. john plans to selltickets for $10 per person. let C represent the cost of the eventand N the number of people attending the concert.
Write a linear system to represent the situation.
How many tickets must be sold to break evan?
what will be the total cost be?

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

Question 245131: graph this equation and describe it as consistent and independent, consistent and dependent, or inconsistent
4x-2y=6
6x-3y=9

Click here to see answer by Alan3354(30993) About Me 

Question 245535: if we have this type of question x+2y<-25 so, how we are going to graph nad solve it
Click here to see answer by stanbon(57307) About Me 
Question 245535: if we have this type of question x+2y<-25 so, how we are going to graph nad solve it
Click here to see answer by edjones(7569) About Me 

Question 245599: y = x + 5
4x + y = 20

Click here to see answer by stanbon(57307) About Me 

Question 245609: y - 4x = 3
2x - 3y = 21

Click here to see answer by checkley77(12569) About Me 

Question 245675: what is a line parallel to 2y=4x-6 and passes through point (2,5)
Click here to see answer by checkley77(12569) About Me 
Question 245675: what is a line parallel to 2y=4x-6 and passes through point (2,5)
Click here to see answer by TheProdicalSon(33) About Me 

Question 245669: How do I find the x- and y-intercepts of this equation: x+2y=18
Click here to see answer by checkley77(12569) About Me 

Question 245733: y=6x-11
-2x-3y=-7

Click here to see answer by richwmiller(9135) About Me 
Question 245733: y=6x-11
-2x-3y=-7

Click here to see answer by TheProdicalSon(33) About Me 

Question 245750: Find all values of k, for which the system of equations
2x-2y+kz=0
x+4z=0
kx+y+z=0
has a nonzero solution (that is, (x,y,z) not equal to (0,0,0)
Dont know this please help

Click here to see answer by TheProdicalSon(33) About Me 

Question 245837: A telephone company charges $4.95 per month for long distance calls plus $0.05 per minute. The monthly cost c of long distance calls can be described by the equation c=0.05m +4.95, where m is the number of minutes.
Find the y-intercept of the graph of the equation

Click here to see answer by richwmiller(9135) About Me 

Question 245902: A Honda Accord gets approximately 26 mpg on the higway and 19 mpg in the city. You drove 349.5 miles on a full tank (16 gallons) of gasoline. Approximately how many miles did you drive in the city and how many miles on the highway?
Click here to see answer by dabanfield(803) About Me 

Question 246080: 3X-2Y=10
Y=5X-20

Click here to see answer by richwmiller(9135) About Me 

Question 246100: The price of a 2-hour plumbing repair job is $130 and the price of a 5-hour job is $250. Find and interpret the slope of the line through (2, 130) and (5, 250).
Click here to see answer by checkley77(12569) About Me 

Question 246079: at 9:00am, a car and a bus start from manila and head for the north. by 12:00noon the car, already 85km ahead of the bus, suffers a total breakdown. At what time will the bus pass by the car if the bus just maintain its speed which four-fifths that of the car?
Click here to see answer by oberobic(2304) About Me 

Question 246181: Can you show me the steps to solve this please..
x-y-z=6
x-2y-3z=14
x-3y-7z=28
All of these three equation are used to find out the value of x, y, and z
Thank you very much..

Click here to see answer by stanbon(57307) About Me 

Question 246376: Please help me solve this word problem: A bank pays 2% intrest. The credit union pays 3% per year. Bo saves $1000 total and gets $5 more intrest from the bank than from the credit union. How much was saved in each account?
I was able to come up with x + y= 1000 but nothing after that.

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 246542: zelma is eighteen years older than her son. she was three times as old as he was one year ago. how old are they now?
Click here to see answer by richwmiller(9135) About Me 

Question 246605: perpendicular to 5x+3y=1
Click here to see answer by dabanfield(803) About Me 

Question 246606: a baker mixes cookies worth $.95 per pound with cookies worth $1.75 per pound.how many of each kind must be used to produce a 45 pound mixture that sells for $1.25 per pound
Click here to see answer by dabanfield(803) About Me 

Question 246344: Write a system of equations that has 2 lines that intersect at (-3,7) and have (-3,7) as a solution and show me how to solve it.
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 246642: how do I get y by itself?
x+3y=6

Click here to see answer by stanbon(57307) About Me 
Question 246642: how do I get y by itself?
x+3y=6

Click here to see answer by edjones(7569) About Me 

Question 246689: how would i write 5x+6y=3x+ 2 in standard form i have no idea
Click here to see answer by checkley77(12569) About Me 

Question 246645: what is -x + 2y = 4
Click here to see answer by checkley77(12569) About Me 

Question 246870: Tamika is selling cookies for a fundraiser for the band. She needs to make at least $160 in cookie sales to win a prize. If each box of cookies cost $2.25, what is the smallest number of boxes that she can sell to be eligible for the prize?
Click here to see answer by checkley77(12569) About Me 

Question 247211: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50 . The first car has consumed 25 gallons during that week, and the second has consumed 30 gallons, for a total of 1400 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?
Click here to see answer by richwmiller(9135) About Me 

Question 247356: 2 x - y + z = 9
3 x -5 y + 4 z = 30
5 x + y -2 z = 4

please show work, so i can understand how to do it. thank you

Click here to see answer by stanbon(57307) About Me 

Question 247412: i am learning elimination using multiplication and i am really stuck i get everything i just dont get how you find the number that you have to multiply by
this is the problem i need help on
3x+2y=-9
x-y=-13
i dont know how you figure out which number you multiply the equation by can you please help me

Click here to see answer by solver91311(16877) About Me 

Question 247577: Band A charges $600 to play for the entire evening.
Band B charges $350 plus $1.25 for each ticket.
I have two questions:
1. How would I write an equation for each band?
2. How do I find the number of tickets for which the cost of the two bands will be equal?

Click here to see answer by oberobic(2304) About Me 

Question 247584: how do u get 6=x-y in standard form
Click here to see answer by oberobic(2304) About Me 

Question 247758: WHY IS MATH SO FREAKIN' HARD NOOBS!!!!!!!!!!!
Click here to see answer by unlockmath(1599) About Me 

Question 247793: problem rate of change and slope algebra 1 chapter 4 glencoe algebra problem i need to be solve here goes find the slope of the line that passes through each pair of points (4,9),(1,6) (-4,-1),(-2,-5) (1,-2), (6,2) (4,3.5),(-4,3.5)
Click here to see answer by solver91311(16877) About Me 
Question 247793: problem rate of change and slope algebra 1 chapter 4 glencoe algebra problem i need to be solve here goes find the slope of the line that passes through each pair of points (4,9),(1,6) (-4,-1),(-2,-5) (1,-2), (6,2) (4,3.5),(-4,3.5)
Click here to see answer by richwmiller(9135) About Me 

Question 247829: y=3x+4
y=2x+7
I dont know how to solve when variable on same side??

Click here to see answer by Alan3354(30993) About Me 

Question 247831: I need to show this problem can be solved by substitution, can you please help me? -4x + 2y = 16 and 3x -y = 2 These are systems of linear equations
Click here to see answer by richwmiller(9135) About Me 
Question 247831: I need to show this problem can be solved by substitution, can you please help me? -4x + 2y = 16 and 3x -y = 2 These are systems of linear equations
Click here to see answer by solver91311(16877) About Me 

Question 247874: Solve the following system of equations.
1) 3x+5y=7
2) 2x-3y=1

Click here to see answer by richwmiller(9135) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845