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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 32392: How can I solve the equations: 3x+y=3, 7x+2y=1
Click here to see answer by mukhopadhyay(490)

Question 31599: a+b+c=100
a+10b+50c=500
Click here to see answer by checkley71(8403)

Question 32601: how do you work out this problem?
{2x+10y=-2
{6x+4y=20
Click here to see answer by checkley71(8403)

Question 32822: Solve the equation.
1. 3a^2=-a+2
2. 3(x-3)=2(6-x)

I am having alot of trouble with these three problems. I got x=-9 for problem two. I need for somebody to show me the steps so that I can understand them for the test. These questions do not come from a book they are comming from a review sheet. I know there is only one submission per day but I really need help on these three problms. Thanks hope you can help.
Click here to see answer by stanbon(75887)

Question 32831: This question must be written in two unknowns for each problem and then solved each system by substitution.
The question: tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets were sold, then how many of each were sold?
I have been trying to do what the book says, but it is not helping.
What I have tried:
a=adults & s=students
$824=total of tickets
I got 204 adult tickets sold =$612
106 student tickets sold =$212
this provides the number of tickets sold of each, but I got that by deduction.
I am unsure of how to do the two equations and then solve them by substitution.
I Need help DESPERATLEY Thank you!

Click here to see answer by kietra(57)

Question 31824: Ineed to find the x and y intercepts of the graph of the equation
5x + y = 10
Click here to see answer by sarah_adam(201)

Question 33052: Would someone check to see if I did this correctly? Thank you in advance
Solve for x:
2(x + 1) > 12

Simplify left side and right side to get:
2x + 1=12-3
2 + 1 + x = 12
x = 9

Click here to see answer by babyblue87(3)

Question 31610: Simultaneous Solution of Systems of Linear Equations
3/5x + 3/8y + 800 = x
6/10 + 2/5y + 1300 = y
How do I find the simultaneous solution to the above equation?
Your help will be most welcomed. I have been searching for a week now to this problem.
Lynn
Click here to see answer by checkley71(8403)

Question 33332: PLEASE HELP!
GRAPH TO FIND THE SOLUTION:
x-y=6
2x-2y=-6
I have tried it myself and I think If I am correct I have no slution for teh system. Can you please confirm this answer for me?
Thanks in advance.
Click here to see answer by stanbon(75887)

Question 33348: I need to solve this system of linear equations and I am having a hard time. Please help.
x-3y+2z =-11
2x-4y+3z =-15
3x-5y-4z =5
Click here to see answer by mukhopadhyay(490)

Question 33348: I need to solve this system of linear equations and I am having a hard time. Please help.
x-3y+2z =-11
2x-4y+3z =-15
3x-5y-4z =5
Click here to see answer by sarah_adam(201)

Question 31028: What must be true about x, y, z and w if AB = BA for the matrices
A=
x y
z w
B=
1 1
-1 1
Click here to see answer by venugopalramana(3286)

Question 33683: I'm not exactly sure what category this question belongs in, but here it is:
A train leaves Smithville and travels south at a speed of 60 mph. Three hours later, a second train leaves on a parallel track and travels south at a speed of 90 mph. How far from the station will the second train overtake the first train?
Click here to see answer by mukhopadhyay(490)

Question 33800: [1,1] [0,3]
2x+y=3
Click here to see answer by fanism(39)

Question 34068: how do u solve y=x-1
2x-y=0

Click here to see answer by fanism(39)

Question 34053: x+y=6
x-y=12
Click here to see answer by algebrapro18(249)

Question 34229: Solve the system by the substitution method.

x - 3y = 25
-6x - 4y =-18
Click here to see answer by kietra(57)

Question 34306: x+y=10
2x-y=-1
Click here to see answer by priya(51)

Question 34304: x-y=-8
x+y=12
Click here to see answer by priya(51)

Question 34400: 2/3{9n-6}=4{n+1}
Click here to see answer by askmemath(368)

Question 34402: I need to find the slope of a line parallel to each line.
1.y=2x-3 2.8y=-7x+16
Click here to see answer by checkley71(8403)

Question 34401: I need to find the solpe of a line parallel to each line.
1.y=2x-3
Click here to see answer by mukhopadhyay(490)

Question 34401: I need to find the solpe of a line parallel to each line.
1.y=2x-3
Click here to see answer by checkley71(8403)

Question 34481: Solve by substitution:
3x - y = 5
y = 3x - 5
Click here to see answer by stanbon(75887)

Question 34480: Solve by substitution:
3x - y = 5
y = 3x - 5
Click here to see answer by stanbon(75887)

Question 29941: Hi, I have been assigneda rather large piece of homework that is mostly easy, however it does contain one question that is baffling me. I have asked about 5 other people about it before coming here, it is as follows.
John takes a test. He ets 2 points for each right answer and loses 1 point for each one wrong.
Write an equation that he did all 50 problems.
Write an equation showing how he got 40 points
And
Graph out both equations and explain what the point of intersection means.
I have no idea how or where to start on this, and neither do any of my friends or family. Please Help!
Click here to see answer by stanbon(75887)

Question 34478: Solve by substitution:
3x + 2y =27
x= y + 4
Click here to see answer by lyra(94)

Question 34476: Solve by substitution:
x+y=12
y=3x
Click here to see answer by Prithwis(166)

Question 34477: Solve by substitution:
x+3y=-25
y=-5x
Click here to see answer by Prithwis(166)

Question 34248: 5x-2y=-5
y-5x=3
solve by substitution
Click here to see answer by checkley71(8403)

Question 34580: please help me solve this.. i don't even know where to begin. :(

Click here to see answer by Earlsdon(6294)

Question 34580: please help me solve this.. i don't even know where to begin. :(

Click here to see answer by MrTillman(3)

Question 34610: someone please help :(

Click here to see answer by priya(51)

Question 34624: Solve the system by the substition method.

x-6=y
y+4=x
Click here to see answer by checkley71(8403)

Question 34635: Solve the system by the substitution method.
4x+y=16
16x+4y=64
Click here to see answer by askmemath(368)

Question 34581: please help :)

Click here to see answer by rahman(247)

Question 34726: Solve the system of equations by the addition method.

x-4y=-18
-6-4y=64
Click here to see answer by longjonsilver(2297)

Question 34726: Solve the system of equations by the addition method.

x-4y=-18
-6-4y=64
Click here to see answer by Prithwis(166)

Question 34727: Solve the system of equations by the addition method..All I have.

x-4y=-18
-6x+4y=-36
Click here to see answer by hydromojo(20)

Question 34727: Solve the system of equations by the addition method..All I have.

x-4y=-18
-6x+4y=-36
Click here to see answer by ichudov(507)

Question 34765: sOLVE THE SYSTEM OF EQUATIONS BY THE ADDITION METHOD

x-7y=-42
3x-6y=-36
Click here to see answer by checkley71(8403)

Question 34860: y=-x+3 y=x+1
Click here to see answer by lyra(94)

Question 35180: Ok this is what I think the following question is asking
So the question reads:
a company produces three different products: basic, mid-range, and superior.
� For each basic item, the company spends, on the average, $50 for the components, $20 for assembly, and $30 for packaging and dispatch.
� For a mid-range item, the spending is $100 for the components, $40 for assembly and $80 for packaging and dispatch.
� For the deluxe model, they spend $200 on components, $120 for assembly and $240 for packaging and dispatch.
If the budget allows $2,350,000 for components, $1,100,000 for assembly, and $2,050,000 for packaging and dispatch, set up and solve a system of linear equations to determine how many items of each kind can be produced.
So is what I have below on the right track or have I totally got it wrong? And what has to be done to solve it???
And the lines are supposed to be in line
.....................|Basic | Mid | Superior | Budget
Components..| 50 | 100 | 200 | 2,350,000
Assembly......| 20 | 40 | 120 | 1,100,000
Pack & disp..| 30 | 80 | 240 | 2,050,000

Click here to see answer by stanbon(75887)

Question 35309: help!!! solve the system by addition -4x+7y=-10
x-5y=9
Click here to see answer by checkley71(8403)

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