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

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Question 815436: which of the following best describes the graph the graph of this system of equations?
x=2y-1
3x-6y=-3

Click here to see answer by josgarithmetic(39617) About Me 

Question 815508: The true solution at x=0.5 for y'= -xy at y(0)=1
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Question 815643: In my textbook it says to solve the System of Linear Equations using Substitution. The problem it gives for it is:
x= 8y-4
x+8y=6
Do you know how to work this out?

Click here to see answer by mananth(16946) About Me 

Question 815837: If the width x and height y of a rectangle are both changed in a way that the area remains constant at sixteen units.
Determine the perimeter P of the rectangle as a function of the width.

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Question 816084: Excuse me, but can someone please help me solve this equation with substitution?
1.) 12s+8y=136
2.) 6s+6y=84
I know how to solve for Solving Systems by Graphing and Solving Systems by Elimination(Combination), but Substitutions makes be confused with no single variable...

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Question 816444: 6x+y=2
9x-y=5

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Question 816560: The value of y is 14 less than 6 times the value of x. Find x when y is 22.
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Question 816577: if 500 tickets were sold.
some at 40 cents.
the remainder at 25 cents. The amount of money received for tickets sold at 40 cents was $70 more than the tickets sold at 25 cents. find the amount of tickets that were sold at 40 cents each.

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Question 816617: the organizers of a charity concert sold tickets at two different prices. if they had sold 112 of the dearer tickets and 60 of the cheaper ones they would have received $45.60, but if they had sold 96 of the dearer tickets and 120 of the cheaper ones they would have received $52.80. find the price of the dearer tickets.
Click here to see answer by mananth(16946) About Me 

Question 816907: Joe leaves his house to go jogging when his wrist watch reads exactly 1:00pm. On the way to his destination, he stops for a break. He arrives at Pete's house, knocks on the door, then immediately turns around and jogs back home at the same pace, taking another break along the way. At the time of his arrival back home, his watch reads exactly 1:40pm.
Upon returning home, he calls Pete and asks what time he knocked on the door. Pete answers,"1:15pm according to my clock".
What did Pete's clock read when Joe left his house?
----
This is a real-world problem abstracted from trying to get the exact time of a server in relation to a client, with an unknown amount of latency on both the request and the response.
Joe needs to get his watch exactly in sync with Pete's clock. Joe knows that because of his breaks, the rate of travel to and from Pete's house varies. Since he doesn't know what his watch read when Pete's clock read 1:15, the only way to get his watch in sync is to determine the length of his breaks.

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Question 816913: x=2y-1
3x-5y=2

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Question 816881: please help......solve the following system of equations by graphing: 2x-y=8
y=2
and please show step by step work.. I tired it on my own but I could not figure it out
Thank you

Click here to see answer by LinnW(1048) About Me 

Question 816643: Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation
Click here to see answer by LinnW(1048) About Me 
Question 816643: Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation
Click here to see answer by Alan3354(69443) About Me 

Question 816642: Please can you help solve this problem for me. The point (x,y) lies on a cirle which has the segment from (0,-1) to (1/3, 4/3) as a diameter. Show this is algebraic equation
Click here to see answer by LinnW(1048) About Me 

Question 816992: Is the ordered pair is a solution of the linear system?
(−2, −6);
x + y = −8
x + 3y = −12

Click here to see answer by richwmiller(17219) About Me 

Question 817064: Solve this system by substitution:
-3x+3y=4 and -x+y=3

Click here to see answer by mananth(16946) About Me 

Question 817238: x+y=201
x-y=11 solve using substitution

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Question 817436: Solve by Elimination.
x-y=2
2x+2y=16

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Question 817488: tell whether the system has one solution, infinitely many solutions,or no solution? x+y+3=0
3x-2y+4+0

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Question 817521: Solve for ‘x’ and ‘y’ given the following two equations using the elimination method:

2x + 3y = 8
x = 2y - 3

Click here to see answer by TimothyLamb(4379) About Me 

Question 818090: I need help on an algebra 1 question by solving systems using substitution. Here is the question:
Michelle and Pam are running a 200-m race. Michelle runs at an average of 7.5 m/s. Pam averages 7.8m/s, but she starts 1 s after Michelle.
A. how long will it take Pam to catch up to Michelle?
B. Will Pam overtake Michelle before the finish line?
I have already come up with an equation.
7.5x=200
7.8(x-1)=200
I attempted to answer question A, though I'm pretty sure i hadn't done it right.
7.5=7.8-7.8
-0.3x=-7.8
x=7.5

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 818125: Question: Write an equation in slope - intercept form of the line that passes through (1, -1), and has a slope of 5?
Somehow when I did it I had gotten the answer Y+1=5(x-1) and it was wrong. So if you could help that would be great. Thank you

Click here to see answer by mananth(16946) About Me 

Question 818135: Angel A and angle B are complementary, that is their measurements add up to 90 degrees. Angle B measures 32 degrees more than angle A. What are the measurements of the two angles ?
Click here to see answer by TimothyLamb(4379) About Me 

Question 817987: A youth group with 26 members is going on a skiing trip. Each of the 5 chaperones will drive either a van or sedan. The vans can seat seven people and the sedans can seat five people. Assuming there are no empty seats, how many of each type of vehicle could transport all 31 people to the ski area for in one trip?
Can you please tell me the equations needed to solve this problem?
I have came up with 7v+5s=31 (v for vans and s for sedans) but I can not seem to come up with the other equation.

Click here to see answer by KMST(5328) About Me 

Question 818297: 8x-4y=12
y=2x-3

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Question 818321: Solve the system of equations by substitution

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Question 818435: x=7y-6
x+7y=3
find soultion of the equation

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Question 818434: 2x-3y=20
x+2y+12
find soultion of the equation

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Question 818911: x/5 - y/10 = 4
x/2 + y/4 = 5
Solve the system of equation using the addition method. I have tried different problems over 80+ times never getting them correct and cannot figure out what I am doing wrong. Please someone help me.
Thank you for your time. I am trying to pass my finals and this is the only problem preventing me from doing so. If I can't figure out how to do it, I cant take my finals. Help!

Click here to see answer by Edwin McCravy(20056) About Me 

Question 818981: I need help setting up the following word problem with a system of equations that can be used to solve the problem.
An exam worth 136 points contains 50 questions. Some of the questions are worth 2 points and some are worth 5 points. How many 2 point questions are on the test? How many 5 point questions are on the test?
Thank you.

Click here to see answer by ewatrrr(24785) About Me 

Question 818979: I am trying to solve a system of equations with three variables.
6x-y+2z=-14
x+2y-z=-2
2x+2y-3z=-11
I am new to algebra and have never done an equation with three variables. I know I am supposed to take two of the equations so that I can eliminate one variable, such as x, but I am unsure on which two I should choose. If anyone can help me solve this, and show me each step in doing so it would be appreciated. Thanks

Click here to see answer by ewatrrr(24785) About Me 

Question 819072: if y=6 when x=9, find c when y=12
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Question 818440: Consider the ellipse 49 x^2 + 1 y^2 = 4.
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Question 819136: Write the question in slope- intercept- form.
y- 4= -1(x -1)
Slope- Intercept- Form: y= mx +b

Click here to see answer by mananth(16946) About Me 

Question 819350: what is a linear function?

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Question 819459: Can you help me solve this 3x3 equation:

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Question 819461: Can you help me solve this 3x3 equation:

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Question 819457: Can you help me solve this 3x3 equation:
2x+y-z=3
2x+2y-z=-1
-x-y+z=4

Click here to see answer by richwmiller(17219) About Me 
Question 819457: Can you help me solve this 3x3 equation:
2x+y-z=3
2x+2y-z=-1
-x-y+z=4

Click here to see answer by stanbon(75887) About Me 

Question 819584: "The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers."
Click here to see answer by TimothyLamb(4379) About Me 

Question 819582: Can someone please help me solve this 3x3 equation"
x-2y+3z=-4
3x+y-z=0
2x+3y+5z=1

Click here to see answer by richwmiller(17219) About Me 

Question 820075: Im not really sure how to do this can someone solve these and provide explanation?... 2x+5y=11 6x+4y=11
6x+2Y=-6 8x-y=2

Click here to see answer by richwmiller(17219) About Me 

Question 820324: A system of three linear equations in three variables is inconsistent. How many solutions to the system exist?
Click here to see answer by ewatrrr(24785) About Me 

Question 820368: y= -4x
y= 2x-3

Click here to see answer by TimothyLamb(4379) 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, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515