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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 79317: Trader Joe has 3 pounds of walnuts and 6 pounds of almonds sell for $51. Five pounds of walnuts and 4 pounds sell for $55. Find the price of 1 pound of almonds.
I am Totally confused. Trying to help my son. Please help.
Click here to see answer by Earlsdon(6287)

Question 79314: graph 2x+y=6
2x-y=-2
Click here to see answer by rmromero(383)

Question 79305: graph y=-2 and 3x-y=-1
and name if it has no solution, one solution, or infinitely many solutions if it has one solution name it
Click here to see answer by rmromero(383)

Question 79323: A square room has a square rug in it. The area of the room not covered by the rug is 51 sq feet. The sum of the lenght of a side of the rug and the lenght of a side of the room is 17 feet. Find the dimensions of the room.
I know Area=LenghtxWidth and Perimeter is 2Lenght + 2 Width, but I can't figure out this one. Please help.
Click here to see answer by stanbon(57224)

Question 79315: graph 3x+2y=6
3x+2y=-4
Click here to see answer by chitra(359)

Question 79312: graph x=2
2x+y=1
Click here to see answer by sprolden(40)

Question 79336: Solve:
4x^2-3y^2=24
2x^2+3y^2=30
I know x=3 and y=2 but I just don't know in what form to put these in, i.e. (x,y)
Click here to see answer by ankor@dixie-net.com(15624)

Question 79468: A flat piece of wood with an area of 27 sq ft, and perimeter of 21 ft. How do I calculate the dimensions? I'm totally clueless. Thanks for our help.
Click here to see answer by Nate(3500)

Question 79469: x=-4y+4
5x-3y=-3 solve the system by the substitution method
Click here to see answer by sprolden(40)

Question 79471: can you please help me on this question i do not know how to graph a point when its in a fraction this is the answer i need to graph it but dont know how:y=-1/3x=7/3
thanks!!!
Click here to see answer by checkley75(3666)

Question 79589: how to solve in steps y=mx+b
Click here to see answer by josmiceli(9650)

Question 79732: Please help me solve the following two questions:

and

Click here to see answer by erimir(14)

Question 79758: graph linear equation y=3x-4
y=-3x-4
(show step by step to i can understand im having trouble graphing linear equations please help)
Click here to see answer by checkley75(3666)

Question 79758: graph linear equation y=3x-4
y=-3x-4
(show step by step to i can understand im having trouble graphing linear equations please help)
Click here to see answer by rapaljer(4667)

Question 79997: Solve each system by substitution.
x - 5y =8
x=6y

Click here to see answer by sofiyacherni(99)

Question 80287: Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
2x-y=-4
-3x+y=-9
Click here to see answer by checkley75(3666)

Question 80293: Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
x-3y=0
3x+y=7
Click here to see answer by sofiyacherni(99)

Question 80315: I really need help please,
Solve this system of inequalities, and write the solution as an ordered triple.
6x+3y+z=-11
x-3y+2z=-23
17x-2y+3z=-84

Thank you very much

Click here to see answer by jim_thompson5910(28476)

Question 80316: please help if you can,
Solve this system of equations
4a+7b=27
8a-3c=-22
6b-3c=24
The solution is [],[],[] Thank you
Click here to see answer by scott8148(6628)

Question 80577: In 1984, the population of the world was about 4.8 billion and the yearly growth rate was 2%. The equation giving the population P in terms of the time t (in years) is P = 4.8e0.02t. Estimate the population in 2007. (If 1984 is t = 0, then 2007 is t = 23.) When will the population be 10 billion? How many years will it take for the population to double?
Answer: The population in 2007 will be billion. The populaton will be 10 billion in the year . (Round the year off.) It will take years for the population to double. (Round up to the nearest whole number for years.)

Click here to see answer by stanbon(57224)

Question 80697: I=Prt I do not understand this question, I hope someone can figure this out for me. Thanks!
Click here to see answer by stanbon(57224)

Question 80921: Can you please help me with this question I am totally clueless as to how to answer this question the working that is.
Given a line containing the points (1,3) , (2,4) , (3,5) determine the slope- intercept form of the equation, give one additional point on this line and graph the function.
Thank you in advance.

Click here to see answer by Mathwiz101(4)

Question 80937: Write a system of eguationsthat could be used to solve this problem:The math club sold 200 raffle tickets for a total of $110 at $0.50 for students and $0.75 for adults.
Click here to see answer by funmath(2925)

Question 80939: Write a system of equations that could be used to solve this problem: Joe is 28 years older than his daughter Mary. In 12 years he will be three times as old as Mary is now,.
Click here to see answer by ankor@dixie-net.com(15624)

Question 80977: use elimination to solve each system of equations
2/3x-1/2y=14
5/6x-1/2y=18
Click here to see answer by checkley75(3666)

Question 80979: use elimination to solve each system of equations
One number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?
Click here to see answer by checkley75(3666)

Question 80975: use elimination to solve each system of equations
8a+b=1
8a-3b=3
Click here to see answer by checkley75(3666)

Question 80972: use elimination to solve each system of equations
6s+5t=1
6s-5t=11
Click here to see answer by checkley75(3666)

Question 80968: use elimination to solve each system of equations
2m-5n=-6
2m-7n=-14
Click here to see answer by math_tech(1)

Question 81193: Solve the following system by substitution
5x-2y=-5
y-5x=3
Click here to see answer by jainenderkapoor(61)

Question 81194: Solve the following system by substitution
8x-4y=16
y=2x-4
Click here to see answer by jainenderkapoor(61)

Question 81222: Given: f(x) = 4x – 3; Find f(-1)
Click here to see answer by tutor_paul(490)

Question 81320: Greetings Tutors! Please help.
I've been going around and around on this problem:
Find an equation of the line containing the centers of the two circles
x^2 + y^2 - 4x + 6y + 4 = 0
and
x^2 + y^2 + 6x + 4y + 9 = 0
I'm not even sure where to begin. Thanks in advance.
Click here to see answer by stanbon(57224)

Question 81324: 4x-3y=33
x=-4y-25
Click here to see answer by praseenakos@yahoo.com(507)

Question 81489: Solve each of the following systems by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
2x + 3y = 1
5x + 3y = 16
Click here to see answer by jainenderkapoor(61)

Question 81490: Solve each of the following systems by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
x + 5y = 10
-2x - 10y = -20
Click here to see answer by jainenderkapoor(61)

Question 81493: Solve the following system by graphing
2x-y=4
2x-y=6
Click here to see answer by jainenderkapoor(61)

Question 81651: Find values for m and b in the following system so that the solution to the system is (-3,4)
5x + 7y = b
mx + y = 22
Click here to see answer by rapaljer(4667)

Question 81650: Solve each of the following systems by graphing
3x - 6y = 9
x - 2y = 3
Click here to see answer by tutorcecilia(2152)

Question 81526: I put this problem in my graphing calculator but do not come up with one of the 4 answers, here goes:
The table below shows the number of doctors in Bingham City from 1960 to 1986.
Year (x) 1960 1967 1970 1975 1982 1985 1986
Number of 2937 3511 3754 4173 4741 5019 5102
Doctors (y)
If a linear regression model is fit to this data, which equation would best represent the data? (let x - number of years after 1960)
Click here to see answer by Edwin McCravy(8880)

Question 81720: Solve the system by addition.
x + y = 6
x – y = 4

Click here to see answer by rapaljer(4667)

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