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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 366585: system of four linear algebraic equation (get values of A,B, C and D)
0= Acos(t)+Bsin(t)+Ctcos(t)+Dtsin(t)+3t-2
0=-Asin(t)+Bcos(t)+Ccos(t)-Ctsin(t)+Dsin(t)+Dtcos(t)+3
1=-Acos(t)-Bsin(t)-2Csin(t)-Ctcos(t)+2Dcos(t)-Dtsin(t)
1= Asin(t)-Bcos(t)-2Ccos(t)-Ccos(t)+Ctsin(t)-2Dsin(t)-Dsin(t)-Dtcos(t)
Click here to see answer by robertb(5830)

Question 366706: Solve the system of linear equations using any method.
2x + y = 5 and 4x + 3y = 11

Click here to see answer by mananth(16946)

Question 366469: graph the eqautions 3x+5y<=340 and x>=30 and y>=20.
Click here to see answer by Fombitz(32388)

Question 366739: V = πr2h; solve for h. NOTE: THE NUMBER 2 IS AN EXPONENT.
Click here to see answer by mananth(16946)

Question 366716: Given the system of linear equations: y = 2x + 5 and - 2x + y = 7 , which one of the following statements is true
Click here to see answer by solver91311(24713)

Question 366778: Please help me solve this equation:
Solve each system addition. Determine whether the equations are independent, dependent, or inconsistent. Solve each equation by the substitution method.
2x = 2 - y
3x + y = -1
Thank you

Click here to see answer by mananth(16946)

Question 366949: please help me solve this question: 4y+x=8
Click here to see answer by Fombitz(32388)

Question 366884: solve by the substitution method.
9x+3y=-51
-8x+y=49
Click here to see answer by Fombitz(32388)

Question 366946: please help me solve this equation: 6x+4y=8
Click here to see answer by Alan3354(69443)

Question 366974: 4x-6y=3
6x-4y=-3
solve by elimination method

Click here to see answer by jim_thompson5910(35256)

Question 366973: Solve this equation by the substitution method. Help
{2y=x+2
{6x-12y=0
Click here to see answer by robertb(5830)

Question 366973: Solve this equation by the substitution method. Help
{2y=x+2
{6x-12y=0
Click here to see answer by stanbon(75887)

Question 365737: x=15
Click here to see answer by Fombitz(32388)

Question 367113: The Ramapo High School lacrosse team sold brownies and cookies to earn money for a tournament. The brownies sold for $6.00 per box and the cookies sold for $8.00 a box. The total number of baked goods was 580. and the total amount of money collected was $4,340. How many boxes of each kind of baked goods were sold?
Click here to see answer by ewatrrr(24785)

Question 367272: 3x-2y=2
-2x+y=-2
So the answer is (-2,-6) right? And how do you know when consistent,dependent,inconsistent,or dependent? >Thats my main issue.
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 367259: hello, i'm having trouble trying to graph the slope, of y=-7x-1 thank you
Click here to see answer by rfer(16322)

Question 367356: x+2y=8
y=6
Click here to see answer by rfer(16322)

Question 367497: I am having trouble finding the solution to
x+8y=6(1)
x=9-8y(2)
Can you please help this is my final question.
Click here to see answer by robertb(5830)

Question 367496: How do I solve the following systems of equations by using the addition method?
2x-y=3
x-2y=9
Click here to see answer by robertb(5830)

Question 367503: 500 tickets were sold for a certain performance of a play. The tickets for adults and children sold for $7.50 and $4.00, respectively, and the total receipts for the performance were $3312.50. How many of each kind of ticket were sold?
Click here to see answer by rfer(16322)

Question 367575: Will you help me solve for y in the equation: 3x-4y=10
Click here to see answer by robertb(5830)

Question 367546: 10 liters of a 30% acid solution is obtained by mixing 20% solution with a 50% solution.
a) write a system of equations in which one equation represents the amount of final mixture required and the other represents the amount of the acid in the final mixture. Let x and y represent the amounts of 20% and 50% solutions, respectively.
b) use a graphing utility to graph the two equations in part a. As the amount of the 20% solution increases, how does the amount of the 50% solution change?
c) How much of each solution is required to obtain the specified concentration in the final mixture?

Click here to see answer by Theo(13342)

Question 367750: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order? I need help setting this up.
Click here to see answer by stanbon(75887)

Question 367795: Find the slope and intercepts of the line.
18) 9x + 2y = 49

Click here to see answer by Fombitz(32388)

Question 367864: 4-3(1-x) *is less than or equal to* 3
Click here to see answer by rfer(16322)

Question 368106: for what value of a would the following system of equations have an infinite number of solutions?
2x - y = 8
6x - 3y = 41
A: 2
B: 6
C:8
D:24
E:32
Click here to see answer by robertb(5830)

Question 368319: -3x-y=-1
3x+y= 2
-------
0=1
Question: What do you do next? Would it be no solution or all real numbers?
Click here to see answer by Fombitz(32388)

Question 368231: Please help me solve y< 2x = 2 and graph the inequality.
Thank you very much
Click here to see answer by Fombitz(32388)

Question 368385: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
x = y + 6
y = -2 - x
Click here to see answer by Fombitz(32388)

Question 368390: 3/4-1/2x+6=11/2x
Click here to see answer by Fombitz(32388)

Question 368523: Solve the system of equations. Enter your answer as an ordered pair.
6x-y=33
6x+3y=45
Click here to see answer by Fombitz(32388)

Question 368572: What are the 'x' and 'y' intercepts of the equation 2y+17=6x-19
Click here to see answer by Fombitz(32388)

Question 368693: Decide whether the ordered pair is a solution of the system:
(-6,1)
2x=-11-y
3x=-16-2y
Click here to see answer by neatmath(302)

Question 368733: y=5x+6
-18x+3y=-54
Are the graphs of the lines in the pair parallel? Explain.
Solution:
In the second equation, divide everything by 3: -6x+y=-54
Then, add 54 to each side: 54-6x+y=0
Next, subtract y from each side: -6x+54=-y
Now, add the two equations together: 0=-x+60
Finally, add x to both sides: x=60
The equation "x=60" denotes a vertical line, but the equation "y=5x+6" denotes a line with a slope of 5, so the lines are not parallel.
Click here to see answer by mananth(16946)

Question 368743: 4x-12y=2;(10,-1)
write the equation of a line that is perpendicular to the given line and that passes through the given point
Click here to see answer by mananth(16946)

Question 368868: Please help me solve the equation of 3x-9y=15.
Click here to see answer by mananth(16946)

Question 368860: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order?

Please help me solve this question
Click here to see answer by solver91311(24713)

Question 368741: y=-1/6x-2
12x-2y=-14
tell whether the lines for each pair of equations are parallel,perpendicular,or neither
Click here to see answer by Fombitz(32388)

Question 368739: y=-1/2x-11
16x-8y=-8
tell wether the lines for each pair of equations are parallel,perpendicular,or neither
Click here to see answer by robertb(5830)

Question 368769: 2x+4y=-10;(4,2)
write equation of a line that is perpendicular to the given line and that passes through the given point
Click here to see answer by robertb(5830)

Question 368772: a line passes through(2,-1)and(8,4)
write an equation for the line in point-slope form
rewrite the equation in standard form using integers
Click here to see answer by robertb(5830)

Question 368947: eight years ago, the sum of Peter's age and Carlo's age is at least 26. Peter is 4 years older than Carlo. At least how old is Carlo now ?
Click here to see answer by stanbon(75887)

Question 368958: Find the consecutive even numbers whose sum is 108.

Click here to see answer by Fombitz(32388)

Question 368958: Find the consecutive even numbers whose sum is 108.

Click here to see answer by lefty4ever26(59)

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