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

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Question 1093652: sally has only dimes and quarters in her pocket. she has 21 coins all together with a total value of $4.35. how many of each coin type does she have?
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Question 1093802: Ab + 2 = c - 1
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Question 1093802: Ab + 2 = c - 1
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Question 1093860: When rats give birth, the weight of each baby varies inversely with the number of young. When there are 12 young, each baby weighs 6 grams. If a rat gives birth to 24 young, how much will each baby weigh?

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Question 1093918: what is the aNSWER OF 3X+2Y=-4 AND 2X-Y=-12

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Question 1093942: What is the answer of x+2y=5 & 2x+y-4=0
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Question 1093950: The sum of a digit of a 2 digit no. Is 12 if the no. Formed by reversing the digit is greater than the original no. By 54 find the no.
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Question 1094016: is the ordered pair (32,0) a solution to the equation 3/4x+8y=24? Thanks for your help.

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Question 1094299: Two factory plants are making TV panels. Yesterday, Plant A produced twice as many panels as plan B. Two percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 880 defective panels?
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Question 1094312: Find the slope of the line containing the points (4,7) and (6,11).find coordinates for another point that lies on the same line

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Question 1094301: A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at 63 kilometers per hour. How much time after the second car passes the landmark will it over take the 1st car?
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Question 1094301: A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at 63 kilometers per hour. How much time after the second car passes the landmark will it over take the 1st car?
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Question 1094447: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
20
miles per hour faster than the westbound train. If the two trains are
950
miles apart after
5
hours, what is the rate of the eastbound train?

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Question 1094401:
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Question 1094524: There are 72 legs of which there are cats and men so how many cats and men are there?
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Question 1094718: Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
3x+4y–12=0
y - 3= - 3x/4
The slope is the coefficient of x, that is slope = -3/4. The y intercept is the value of y when x - 0. Plugging back x = 0 in the equation above, you see that y = 3.
It's always a good idea to check directly in the original equation. 3*0 + 4*3 - 12 = 0

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Question 1094912: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3235 tickets overall. It has sold 182 more​ $20 tickets than​ $10 tickets. The total sales are ​$62,170. How many tickets of each kind have been​ sold?
How many %10 dollar tickets were sold?

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Question 1094912: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3235 tickets overall. It has sold 182 more​ $20 tickets than​ $10 tickets. The total sales are ​$62,170. How many tickets of each kind have been​ sold?
How many %10 dollar tickets were sold?

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Question 1094912: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3235 tickets overall. It has sold 182 more​ $20 tickets than​ $10 tickets. The total sales are ​$62,170. How many tickets of each kind have been​ sold?
How many %10 dollar tickets were sold?

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Question 1094920: Solve the following system of equations by graphing.
x−y=−2
x+y=4

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Question 1094887: Determine whether the ordered triples listed are solutions of the system of linear equations.
x + y + 2z = -4
-4x + 5y + z = -2
4x - 3y + 4z = 7
Is the ordered triple (-4, -6, 3) a solution to the system?
Is the ordered triple (-5, -5, 3) a solution to the system?

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Question 1095316: please help me solve
3a+b=1........(i)
2a+3b=8.......(ii)

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Question 1095316: please help me solve
3a+b=1........(i)
2a+3b=8.......(ii)

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Question 1095471: How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) – 2

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Question 1095607: a department store purchased a dress for $85 to sell the dress to customers the price increased by 13% what is the new price for customers
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Question 1095682: What is the solution in this.
3x+2y=8
2x-4y=3

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Question 1095777: the denominator of fraction is 1 less than twice its numerator. if 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1:2. find the fraction.

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Question 1095811: The sum of the years of the mother and the daughter is 56. 5 years ago the mother was 2 times older than the daughter. How old are they now?
The solving looks something like
x+y=56
(x-5)=(y-5)*2
Please explain thoroughly and step by step :)

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Question 1095810: Solve using substitution method
For 2000 dollars are bought 15 notebooks and 12 markers. How much does 1 notebook and much does 1 marker cost, if 3 markers cost as much as 6 notebooks?
solving looks something like
12x+15y=2000
6y=3x
Please explain thoroughly and step by step :)

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Question 1095793: Hey ive got a problem about system of equations involving quadratic equations:
1.x+y=16
xy=55
2.x-y=3
x^2+y^2=185
3.y^2+xy=-6
x^2+xy=10
4.x^2-y^2=24
xy=35
5.a-b=-1
ab=14
Pls solve it for me.. The main objective is to find the value of x and y on the given.. Tnx --- Jcob

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Question 1096033: The system 12x + 10y = 20 and ax 4y = b has infinite number of solutions. Find a and b. In words explain your reasoning.

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Question 1095944: shubhangi has twice as many 20 rupees notes.as she has 50 rupees notes. she has 2700 rupees .how many 50 rupees notes she have?
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Question 1095944: shubhangi has twice as many 20 rupees notes.as she has 50 rupees notes. she has 2700 rupees .how many 50 rupees notes she have?
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Question 1096016: Solve the equation for y. Then find the value of y for each value of x.
2 x minus 5 y equals 132x−5y=13​; x= -3,0,3

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Question 1096147: Solve the system of equations:
9x + 7y = 127 and 3x + 2y = 41

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Question 1096256: Solve the system of linear equations. Then, state whether the system is independent, dependent, or inconsistent. Match your answer to the correct answer below.
3x – 5y = 2
12x – 20y = 8

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Question 1096340: Please can you help me solve this problem.
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Question 1096339: Please can you help me solve this problem.
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Question 1096356: Hi, thanks for helping me and your time but I don't know what's wrong last night the question that I post
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Question 1096405: How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach.
–3x + y – 2z = 10 (1)
5x – 2y – 2z = 12 (2)
x – y + z = 23 (3)

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Question 1096439: y-4=7/3(x-3) in standard form
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Question 1096604: x+y=40
20x+10y=500
is this a linear equation. do not solove

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Question 1096733: 2x+3y=-1006
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Question 1096775: 6x+y=3x
y=-2x

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Question 1096648: Bily's restaurant ordered 200 flowers for mother's day. They ordered carnations at $1.50 each, roses at $5.75 each and daisies at $2.60 each. The order mostly carnations and 20 fewer roses than daisies. The total order came to $589.50. How many of each type of flowers were ordered?
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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