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

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Question 200165: Hi!
Find all solutions of the system of equations. (Round each answer to two decimal places. Enter NONE in any unused answer blanks.)
{xy = 20
2x^2 - y^2 + 4 = 0
thanks!

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Question 200312: Hi!
A man and his daughter manufacture unfinished tables and chairs. Each table requires 2 hours of sawing and 2 hours of assembly. Each chair requires 1 hour of sawing and 3 hours of assembly. The two of them can put in up to 10 hours of sawing and 12 hours of assembly work each day. Find a system of inequalities that describes all possible combinations of tables and chairs that they can make daily. Graph the solution set. (Assume x is the number of tables and y is the number of chairs.)
thanks for the homework help!

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Question 200265: Hi!
A biologist has two brine solutions, one containing 1% salt and another containing 4% salt. How many milliliters of each solution should he mix to obtain 1 L of a solution that contains 2.8% salt?
thanks for the homework help!

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Question 200526: I need to know how to find the anwser to problems like this one. I need step by step instruction on how to solve them.
4x+y=16
4x+y=12

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Question 200525: write an equation of a line that is perpendicular to y= 2x +3
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Question 200525: write an equation of a line that is perpendicular to y= 2x +3
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Question 200447: 48 = 6y
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Question 200558: A 90% antifreeze solution is to be mixed with a 75% solution to make 120L of an 85% solution. How many liters of the 90% solution should be used?
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Question 200624: y=x+4
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Question 200629: Solve by the elimination method
x+2y=17
-x+6y=23

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Question 200628: 8x+9y=-2
-9x+y=69

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Question 200626: y=-3x+7
y=4x-7

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Question 200633: If an object is projected upward with an initial velocity of 48 ft pe second from a height h of 160 ft, then its height t second after it is projected is defined by the equation h= -16t 2 + 48t + 160. How many seconds after it is projected will it hit the ground?
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Question 200633: If an object is projected upward with an initial velocity of 48 ft pe second from a height h of 160 ft, then its height t second after it is projected is defined by the equation h= -16t 2 + 48t + 160. How many seconds after it is projected will it hit the ground?
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Question 200634: y=x+4
y=2x-6

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Question 200636: A farmer has 240 meters of fencing and wants to enclose a rectangular area of 3200 square meters. What dimensions should he use?
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Question 200637: A box with no top is to be constructed from a piece of cardboard whose width measures x in. and whose length measures 5 in. more than its width. The box is to be formed by cutting squares that measure 2 in. on each side from the four corners and then folding up the sides. If the volume of the box will be 72 in.3 what are the dimensions of the piece of cardboard?
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Question 200635: The printed matter on a 14 by 16 centimeter page of a book must cover 80 square centimeters. If all margins are to be the same width, how wide should they be?
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Question 200690: Two machines are turned on at 8:00 am If one can produce 45 items each hour and the other can produce 71 items each hour, at what time will they produce a total of 232 items?
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Question 200691: A ball is projected upward from ground level. After t seconds its height in feet is a function defined by f(t)= -16t2 + 48t. After how many seconds will it reach a height of 32 ft?
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Question 200689: Find the domain of the rational function
h(x)= x-80 over x to the 3rd - 2x to the 2nd - 35x

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Question 200813: get the value of x and y
x-y=5
3x+y=3

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Question 200854: The Jurassic Zoo charges $28.00 for each adult admission and $12.00 for each child. The total bill for 254 people from a school trip was $3864.00. How many adults and how many children went to the zoo?
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Question 200985: Please help me solve this equation: 3x+2y=7
5x-2y=1

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Question 200992: please solve 4x-12y=16
8x+4y=24

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Question 201001: solve system of equations by substitution
2y-=13
x=-y+5

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Question 201022: solve using substitution method
3x+7y=0
x=11-6y
Find soultions.

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Question 201006: Solve the system of equations using the elimination method.
2a+3b=-1
3a+5b=-2

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Question 201023: Solve using elimination
3r-5s=-3
5r+3s=29
find soultions

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Question 201107: x+2y=8
-x-y=-3

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Question 201106: 5x+3y=7
x-6y=8

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Question 201105: -x+6y=3
3x-2y=5

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Question 201104: 2x+4=4
y=-2x+4

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Question 201191: I can't come up with a solution to this can some one help please?
X+Y+2Z=8
X+Y+5Z=11
X+6Y+4Z=30 THE TRIPLE SOLUTION SET IS?

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Question 201232: A student opens his math book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
What would I use to solve this, please?

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Question 201241: 5(t-3)-7t = -13
I've tried: 5t -15 - 7t = -13; 5t - 7t = -13 + 15; 2t = 2; t = 1 but that doesn't seem to work out. Know I'm doing something wrong, but not sure what.

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Question 201154: solve systems of equations by graphing
1. y = 2x -4
y = -3x+1
2. 3x - 7y = -6
x + 2y = 11
3. 2x +3y = 7
2x - 3y = y
4. 1/4x + 2y = 5
2x - y = 6
5. 1/2x - y = 0
1/4x +1/2y = -2

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Question 201273:
solve the system analytically: 
 
 x +  y +  z = 10
2x + 6y + 2z = 40
-x + 7y - 3z = 26

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Question 201332: Do lines always intersect?

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Question 201351: Grapes cost $1.00 per pound and Oranges cost $.80 per pound. If Brandon buys 14 total pounds of fruit and it costs him $14.00, how many pounds of each did he buy?
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Question 201351: Grapes cost $1.00 per pound and Oranges cost $.80 per pound. If Brandon buys 14 total pounds of fruit and it costs him $14.00, how many pounds of each did he buy?
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Question 201434: 2x+3y=4
x+4y=6

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Question 201584: 2x-5y=-14 4x-3y=8 State exact values. If the system is dependent, express the solution set in terms of one of the variables
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Question 201571: solve system by graphing
y=-1/3x+3
y=-7/3x-3

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Question 201619: Solve system by graphing
y=1/4x-3
y=5/4x+1

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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