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

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Question 160725: A migrating elephant herd started moving at a rate of 6 miles per hour. One stood still and was left behind. He got nervous and began running at 10 miles per hour. He caught up to the herd in 5 minutes. How far did he run? How long in hours did he run?
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Question 161077: Solve the equations by graphing. Then classify the system.
x+y=9
x-y=5
What is the solution to the system? ________
Is the system consistent or inconsistent? ___
Are the equations dependent or independent? ______

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Question 161096: Solve by the substitution method.
7x=4y= -16
-9x+y = 39
What is the solution of the system?

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Question 161201: Solve by the elimination method.
0.05x+0.25y=44
0.15x+0.05y=48
What is the solution of the system?

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Question 161320: Please help: The sum of two numbers is 17. If the larger is two more than twice the smaller, the larger number.
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Question 161319: One number is equal to 4 times another number. Their diffrence is 12. Find the numbers.
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Question 161198: Solve by the elimination method.
9x-9y=27
7y-3x= -11
What is the solution of the system?

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Question 161196: Solve by the elimination method.
5x+2y= -11
7x-3y=19
What is the solution of the system?

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Question 161680: this is an elimination problem i can not get it.
3x+2y=3
9x-8y=-2

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Question 161754: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 4y = 1
-10x + 8y = -3

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Question 161751: can anyone help
Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).

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Question 161845: adult tickets for the school musical sold for $3.50 and student tickets sikd fir $2.50. Three hundred twenty one tickets were sold altogether for $937.50 How many of each kind of ticket were sold?
Notice that in problems like this you have to consider two things:
prices
quantity of tickets sold
You cannot combine them in only one equation because they represent different things; so you will need two equations.
Now before we construct the two equations; lets set up our variables
Let a represent adult tickets
Let s represent student tickets
Now lets look at what we now about these two when thinking about them in money terms:
$3.50 per adult
$2.50 per student
Total made $937.50
Lets show it algebraically: 3.50a + 2.50s=$937.50
When thinking about the tickets in numbers we now the number sold were 321 so algebraically a + s = 321
Two equations; two variables; we can solve...........
a + s = 321 ....... which is the same as.... s= 321 - a
3.50a + 2.50s = 937.50
Since s = 321-a, we can substitute this into second equation:
3.50a + 2.50(321-a)=937.50
3.50a+802.5-2.50a=937.50
3.50a-2.50a+802.5=937.50
1.00a+802.5=937.50
a=135
Then s=321-135
s=186
Check:
a+s=135+186=321 check
3.50a+2.50s=3.50(135)+2.50(186)=472.50+465=937.50 check



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Question 161753: solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + 2y = 5
3x + 4y = 1

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Question 161882: Erica earns a salary of $200.00 a week plus 15% commission on all sales. Juanita, new to the company has a straight commission salary of 25%.

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Question 161892: Rewrite the equation 4x - 10y = 11 as a function of x.
This is what I have but I think it's wrong.
4x-10y=11
-10y=-4x+11
To get y by itself I do : y=-4/-10x+11/10 (thats -4 over -10 and 11 over -10)
Simplified it would be y=-2/5x+11-10 (thats -2 over 5 and 11 over 10)
What am I doing wrong??

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Question 161890: 3r - 5s = -33
5r + 3s = 47

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Question 161930: the difference between two complementary angles is 50 degrees. what is the measure of the larger angle?
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Question 161952: please help: y<-5x+6 Graph the linear inequality
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Question 161963: help please: -12x+8y<56 Graph each linear inequality. (please show steps)
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Question 162114: The Computer Store has reduced the price of a computer by 15%. What is the original price of the computer if the sale price is $1275?
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Question 162108: 2k+ar=r-3y for y
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Question 162182: how can i sketch the graph of each line?
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Question 162333: -5x-4=3x
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Question 162330: -5x-4=3-
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Question 162404: I would love it if you would tell me I'm doing this right, however, if I am not please help me to see what I am doing wrong.
Solve the linear equation by graphing
2x-y=5 3x+y=5
y=-2x+5 y=3x-5
my answer: 2,1

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Question 162508:
2. Is it possible for the graph of an inequality to consist of only one number? If so, explain how it is possible and provide an example to support your answer. I know the answer is yes but having trouble explaining how it works on a graph.

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Question 162552: 2v + 18 = 16 - 4(v + 7)
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Question 162558: a basketball team sells tickets that cost $10 $20 or VIP seats, $30. The team has sold 492 tickets over all. It has sold 177 more $20 tickets than $10 tickets. The total sales are $8580. How Many tickets of each kind have been sold?
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Question 162607: Your teacher is giving you a test worth 100 points containing 40 questions on the test. There are 2point and 4 point questions. How many of each are there?
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Question 162651: Solve by graphing
2x+y=2
-x+y=5
Can you show me, step by step, how this works?

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Question 162853: if a company plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural divsion. If altogether 12% of the 3000 employees in these two division will be laid off, then how many employees are in each divsion.
Heres what I've tried: .10 (x) + .15(x) +.12 = 3000
300 450
.12x = 3000
____ ____
.12 .12

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Question 162870: please help me solve this equation(4r-2)-(3r=1)
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Question 162877: if the second digit of a 2 digit no 3 times of first digit and there position is changed and added to original no the answer is 88 wht are digits?
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Question 162958: a local library bought 54 books. some cost $32 each and some cost $44 each. the total cost of the books was $1968. How many of the 32 dollar books were purchased?
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Question 162964: If the graphs of two linear equations in a system have different slopes, the system ________ has exactly one solution.
Complete with never, sometimes or always.

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Question 162924: y=-2x+6
y=3x+6

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Question 162975: ) Demonstrate by determining the intercepts of "14x + 7y = 21". Non graphing
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Question 162925: (2x-5)+(x+25)+x
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Question 155720: 2x+3(x-5)=15
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Question 163114: The second digit of a two digit no is 3 time of first digit. If the position of the digit is interchanged and added to original no the new no is 88. find the digits using only one variables.
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Question 163229: Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals. Fourteen-carat gold contains 14 parts gold to 10 parts of other metals. How amny kilograms of eighteen-carat gold should be mixed with fourteen-carat gold to obtain 60 kg of an alloy containing 17 parts gold and 7 parts of other metals?
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Question 163264: 3(x + 6)=5(x-4)
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Question 163185: What are the x-intercept and y-intercept of a linear equation? What are their coordinates on a graph? How can they be used to graph a line?

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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