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

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Question 208242: Write a system of two equations in two unknowns. Solve the system by using the addition method. « Mike paid $2.98 for three doughnuts and two coffees. The next day, he paid $1.64 for two doughnuts and one coffee. How much does it cost for one doughnut and one coffee? »

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Question 208241: Write a system of two equations in two unknowns. Solve the system by using the substitution method. « Bill and Sue together earn $76,433 per year. If Bill earns $15,000 less than twice Sue’s salary, then how much does each person earn per year? »

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Question 208238: Find the equation of the line through the points (4, -1) and (2, -7). Write the equation in standard form with only integers
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Question 208401: 8x-6y=17
y=4/3x+2

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Question 208373: Rewrite each expression without parentheses.
a.3(x+7)

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Question 208504: I am really having trouble transferiing this question from words to the actual problem please help,
Find 2 consecutive odd integers such that twice the greater is 17 more than the lesser.

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Question 208493: how do i solve for 3x+5=8
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Question 208491: how many solutions will this linear system have y=3x+8 and y=3x+2
I have no idea how to solve this so coule you please go step by step in sloving that way i can understand it and be able to solve more problems like this one.
Thanks

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Question 208491: how many solutions will this linear system have y=3x+8 and y=3x+2
I have no idea how to solve this so coule you please go step by step in sloving that way i can understand it and be able to solve more problems like this one.
Thanks

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Question 208501: Solve the linear system: 2x + 7y = 41, 2y = 3x + 1
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Question 208564: what is the slope intercept form?
3x+7=0

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Question 208616: -12xz/(3y)+12z (squared)/x
x=-4 y=-2 z=1\2
my answer came out to negative one but my teacher marked that problem as wrong too!i solved the top part which is everything before /x in my TI calculator and then divided it by x which equals -4
and still got the answer wrong can you help me???

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Question 208616: -12xz/(3y)+12z (squared)/x
x=-4 y=-2 z=1\2
my answer came out to negative one but my teacher marked that problem as wrong too!i solved the top part which is everything before /x in my TI calculator and then divided it by x which equals -4
and still got the answer wrong can you help me???

Click here to see answer by stanbon(75887) About Me 

Question 208611: -3xyz(squared)
x=-4 y=-2 z=1\2
okay when i put this equation in my TI calculator i got 144 but when my teacher checked it he said it was wrong can you show me how to solve this problem? and what the correct answer would be PLEASE??????

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Question 208615: 3. Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.
The perimeter of a rectangle is 48 cm. The length is 12 cm longer than the width. Find the dimensions.

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Question 208729: How do I factor 2x^2+4x+3=0? Your help is greatly appreciated!
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Question 208702: S = 5NT - TS + NS
Solve for T

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Question 208771: Each equation in a system of linear equations has infinitely many ordered pair solutions does this make sense.
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Question 208711: 30,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $201,000. How many people paid $13.00 for reserved seats, and how many paid $4.00 for general admission?
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Question 208860: 4.) 5x+a=y how solve for a
5.) m=6(p+q) how to solve for q
8.) w=3(x+y+z) how to solve for y
9.) 2w-8y=z how to solve for y

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Question 208863: Please demonstrate how to solve the following equations by the substitution method:
y=x+3
2x+y=15

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Question 208973: Find the ratio a:c if a:b= 1:2, b:d = 4:5, d:c = 3:1
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Question 209179: A coin bank has $37 dollars consisting of quarters and dimes. There are 10 times as many dimes more than 2 times as many quarters. how many quarters and dimes are there
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Question 208974: When I am as old as my father is now, I will five times as old as my son is now. By then, my son will be eight years older than I am now. The sum of my father's age and my age is 100 years. How much older am I than my son?
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Question 209247: 1)Two varieties of animal feed contain essential nutrients A and B. Feed I contains 2 units of A and 3 units of B per pound. Feed II contains 2 units of A and 5 units of B per pound. A farmer needs a feed mix that will give his animals a minimum of 16 units of A and 30 units of B. If Feed I costs $3 per pound and Feed II costs $4 per pound, how much of each should be bought to supply the proper nutrition while minimizing cost? Write the objective function and system of linear inequalities and solve it graphically using the method of corners.

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Question 209313: Is y=-5x linear or nonlinear

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Question 209333: if possible, find the solution of y=x+2z,z=-1-2x and x=y-14
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Question 209246: 1)K.L. Manufacturing wants to maximize its profit on products A and B. The profit on one unit of Product A is $40, while the profit on Product B is $20. Each unit of Product A requires 10 hours of assembly time and 2 hours of finishing time, while each unit of Product B requires 2 hours of assembly time and 4 hours of finishing time. The departmental capacity (in total hours) is 20,000 for assembly and 31,000 for finishing. What is the maximum profit, and how many of each product should be produced to achieve that profit? Write the objective function and system of linear inequalities and solve it graphically using the method of corners.
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Question 209212: When Mr. Reader packed his books into bundles of 12 books there were 2 books left unpacked. When he repacked his books in bundles of 9, there were 2 books left again. Finally, when Mr Reader packed his books in bundles of 7, there were no books left unpacked. Find the smallest number of books that Mr. Reader could have.
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Question 209458: 6x+7y=32
x=20-3y

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Question 208972: Aneku has 21 coins whose total value is Sh. 72, there are twice as many five shillings coins as there are 10 shilling coins. The rest are one shilling coins. Find the number of ten shilling coins that Aneku has
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Question 208971: Given that 29a031 x 342 = 100900b02 where a and b denote two missing interger, find the value of a+b
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Question 209719: I need your help figuring out how to solve 4x+3y=4 and 6x-6y=-1 by elimination.
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Question 209759: slope this line 3y =24 - 9x
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Question 209718: I need your help figuring out how to solve 4x+3y=4 and 6x-6y=-1 by elimination.
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Question 209868: how do I eliminate variables using the addition method?
2x-y+z=1
3x-3y+4z=5
4x-2y+3z=4

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Question 210001: Substitute, eliminate or graph
y= 2/5 x-7
y=2/5 x+4


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Question 210102: 2x-3y+2z=-1
x+2y=-5
2x-y+7z=-8
the answer says that it should be 6,1,7 but i can't figure out how they got those answers. Please Help!

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Question 210154: HOW TO SOLVE THIS PROBLEM: 21-(-7)divided by 7
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Question 210161: how many solutions does a consistent and dependent system of linear equations have?
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Question 210301: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x) = 2x^2 + 2
Do I need to rearrange the problem putting x to zero? 2x^2 + 2= 0

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Question 210116: I am confused on how to solve this, every time I do I get x=4, but it does not check out. What am I doing wrong?
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Question 210193: solve the systems of equations
5x+4y=6
-2x-3y=-1

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Question 210349: hello tutors, by the i'd like to ask a question about problem solving. 'cause i have no idea of this problem can you help me to solve this problem. the problem is this...
a mother is 36 years old and her daughter is 14 years old. in how many years will the mother be twice as old as the daughter?
thanks you guy's!.. hope you can help me with my homework.

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Question 210135: Wilma drove at an average speed of mi/h from her home in City A to visit her sister in City B. She stayed in City B hours, and on the trip back averaged mi/h. She returned home hours after leaving. How many miles is City A from City B
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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