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

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Question 24895: Hi,
What are the steps to solve a system of linear equation by using the elimination method? I only know how to use the substitution method.
Ex. This one is an example from the text book but I can't really understand.
Please help,
3x - 4y = 1
2x + 3y = 12
Click here to see answer by elima(1433)

Question 25003: Instructions were to "Solve the system of linear equations"
(There is a bracket( { ) on one side of all three equations)
-x + y + 2z = 1
2x + 3y + z = -2
5x + 4y + 2z = 4
I have read the section explaining this and am still unsure how to start. The other systems that include only two equations were not hard.
Click here to see answer by AnlytcPhil(1277)

Question 25093: We are solving for f. The equation is
1/p + 1/q = 1/f
if pg is common deminator then we would multiply each side by pg so
q+p=1/f x pg. So would I then divide each side by pg
so I would get q+p/pq=1/f. The answer in the book is
f=pq/p+q which is the opposite of what I got. Thanks for your help.
Click here to see answer by Earlsdon(6287)

Question 25270: What is the solution to -7x+2y=-5 and 10x-2y=6 using the method of combinations? Here is what i have tried so far.
-7x+2y=-5
+10x-2y=6
3x=1
/3=/3
x=1/3 here is where i am stuck at with plugging the solution back into the other problem to come up with the y answer.
Click here to see answer by askmemath(368)

Question 25339: -2x+3y=14, x+2y=7
6x-y=-4, 2x+2y=15
x+y=1, 2x-y=-2
thank you very much
Click here to see answer by longjonsilver(2297)

Question 25444:

Click here to see answer by bacos(9)

Question 25542: How are you supposed to substitute a equation if it one of them are not in y=mx+b form?
Example: x-y=1 2x+y=8
Click here to see answer by rapaljer(4667)

Question 25543: How do you solve this equation OF Linear equations by substitution :
y=3-2x y=2-3x
Click here to see answer by rapaljer(4667)

Question 25610: What is the correct process of solving:
9x + 10 = 29 - 13x ?
Click here to see answer by queenofit(120)

Question 25614: What is the correct process of solving:
12n-8-8n-4n+16+2n?
AND
4x-3(x-3)=6?

Click here to see answer by elima(1433)

Question 25654: 2x+y=-6
3x+y=-10
Click here to see answer by Died2Soon(6)

Question 25710: I have to find the solution and graph this I am so confused.
5x+7y=b
Click here to see answer by josmiceli(9690)

Question 25702: how do u write an equation for
with y-intercept 4 and parallel to y=-3x+6
also...
how do i write a equation for when a graph is given and there is a point plotted, for example
(0,-2)...it says write an eaquation, how would i do that?
Click here to see answer by stanbon(57377)

Question 25793: I can not figued this promblem out . I have tried for over 2 hours. Please help
I nned to show my work
-x-5y=30
2x-7y=25

Click here to see answer by elima(1433)

Question 26026: Can you solve this please?
2x+2y=2
3x+y=1
Can you use the substituion Method?
I have NO idea.
Click here to see answer by stanbon(57377)

Question 26057: You are on the prom committee. You and the other members are deciding how many student and adult tickets to sell. If the committee needs to raise $1,244 dollars and you have decided to sell student tickets for $2.00 each and adult tickets for $5.00. There are 421 people attending, how many student tickets have you sold.
Click here to see answer by stanbon(57377)

Question 26051: Hello, I would like to know if someone can help me figure out how to do this type of problem. I'm not so much concerned with getting answers, more I need to understand how to do it myself. Thanks :o)
Solve the system of equations using the substitution method.
3x + y = 2
2x – y = 3

Solve the system of equations using the addition (elimination) method.
3x – 11y = 9
-9x + 33y = 18

Click here to see answer by Ashley1516(4)

Question 26062: You are at the buger barn. Two hamburgers and one hot dog cost $4.82. At the same price, one hamburger and two hotdogs cost $3.70. How much does a hotdog cost?
Click here to see answer by stanbon(57377)

Question 26027: I have another
2x+y=6
3x-y=6
Again, I have NO idea.
Can you use the addition method?
Click here to see answer by askmemath(368)

Question 26060: A volleyball club has 41 members. There are 3 more boys than girls. How many of the club members are boys?

Click here to see answer by mallikarjuna1st(3)

Question 26059: You want to purchase a few pen and pencils from Ms.Barad. If 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10. How much does each pen and each pencil cost?
Click here to see answer by mallikarjuna1st(3)

Question 26034: I am STUCK! Please help me.
Can you solve by the addition method?
11x-8y=27
3x+5y=-7
Thanks.
Click here to see answer by stanbon(57377)

Question 26100: I need help with the following: (my son asked me to help but I'm VERY rusty)
3A + B + 4C = 34
2A + 2B + C = 26
A + 2B + 3C = 23
Click here to see answer by askmemath(368)

Question 26030: Here is my last one. This seems to evade me totally.
-x+y=2
x+y=4
Can you solve by graphing?
Thank you so much.
Click here to see answer by elima(1433)

Question 26280: ok we are doing writing systems equations from word problems: here is one of them
Today at the ball game Victor sold twice as many bags of popcorn as he sold last Saturday. In the 2 days he sold a total of 96 bags. Which system of equations will determine s, the number of bags Victor sold last Saturday, and t, the number of bags he sold today?
ok we are supposed to write two equations for each problem and then solve using either substitution method or the elimination method, and i just cant remember what the teacher said and its stressing me out! so please help me with the problem above. i would greatly appreciate it
Click here to see answer by stanbon(57377)

Question 26288: How would you find x and y by elimination of substituting this problem?
-3x+2y=-6
-2x+y=6
Click here to see answer by Ashley1516(4)

Question 26206: y=2x-1
y=x+1
i have no idea how to solve by graphing can you show step by step not
concerned about just answer
Click here to see answer by elima(1433)

Question 26310: 6(5t-3)+2=14
Click here to see answer by Alwayscheerful(414)

Question 26322: x-2y=5
3x-5y=8
Click here to see answer by longjonsilver(2297)

Question 26347: My son is having problems with this type of equation. He has to find out if the linear equation is consistent or inconsistent.Dependant or independant. Example: x+y=4 5x+y=8 How do you graph this equation. How do you work 5x+y=8 to know where to draw the second line of this equation.What would the graph look like .Thanks
Click here to see answer by venugopalramana(3286)

Question 26317: use susstitution to solve each system of equations.
0.5x-2y=17 2x+y=104
Click here to see answer by whty89(20)

Question 26033: Can you solve please by addition?
Thank you.
3x+4y=5
6x-4y=-14
Click here to see answer by uknouluvme89(30)

Question 26398: please help me solve this using substitution, I don't understand how to work any of these linear equations by substitution or elimination.
x + 3y = 3
2x + 3y = 0
Click here to see answer by Alwayscheerful(414)

Question 26453: Solve for a, b, and c using addition-subtraction method a - 3b - c = 10 5a - 2b + 2c = 6 3a + 2b + c = 13

Click here to see answer by AnlytcPhil(1277)

Question 26459: how is a determinant use to solve linear equations with 3 unknowns

Click here to see answer by longjonsilver(2297)

Question 26469: Rewrite the equation -8x - 5y = -45
I know first I am to solve for y
5y + 5y cancels out the 5 and leaves y
-45 minus 5 = -50
So now my equation looks like this:
-8x = -50
Now I must solve for x
-8x divided in to -50 =
16
So would my answer be:
f(16) = -8 - 5
I am really stuck on these type of problems. Thank you for the wonderful help you give!!
Click here to see answer by AnlytcPhil(1277)

Question 26479: Solve each system of equations using the substitution method.

1)4x+y=160
12x-13y=-160

Click here to see answer by elima(1433)

Question 26479: Solve each system of equations using the substitution method.

1)4x+y=160
12x-13y=-160

Click here to see answer by algebrawiz(2)

Question 26607: -3x+5y=11
x=2y-5
Click here to see answer by Alwayscheerful(414)

Question 26606: y=4x-6
2x-5=12
Click here to see answer by musheer(1)

Question 26829: Good Evening,
I am attemptind to help my daughter with her homework assingment tonight and I seemed to have fallen in a slump. Please help. Here is her question.
I am a 3 digit number less than 300. My tens digit is less than my ones digit and my ones digit is less than my hundres digit. Who am I?

Thank you.
Click here to see answer by bmauger(101)

Question 26925: I've answered the first half of the question but cannot understand what the second half is asking, if you could please help me I'd appreciate it.
It gives two coordinates (1,4),(-1,1) then asks to put the points into point-slope form which I did y-4=3/2(x-1)then the problem wants you to write one in standard form using integers. I looked up the answer in the back of the book and it showed an answer of -3x+2y=5 but I have no idea how to get to that answer. Thanks if you can help.
Click here to see answer by bmauger(101)

Question 26924: I am trying to help my son and am not sure. Please review the following:
Write a system of lnear equations and solve. (substitution or elimination)
The sum of two numbers is 40. The difference of the two numbers is twice the smaller number. What are the numbers?

Click here to see answer by bmauger(101)

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