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

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Question 269471: Determine whether a system of two linear equations with (0,0) and (2,2) as solutions sometimes, always, or never has other solutions.
Click here to see answer by oberobic(2304) About Me 

Question 269393: Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip.
a. Find the bicyclist's average speed for each leg of the trip.
b. Write a system of linear equations that represent the situation.
c. What is the bicyclist's average speed in still air? What is the speed of the wind?

Click here to see answer by josmiceli(19441) About Me 
Question 269393: Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip.
a. Find the bicyclist's average speed for each leg of the trip.
b. Write a system of linear equations that represent the situation.
c. What is the bicyclist's average speed in still air? What is the speed of the wind?

Click here to see answer by Alan3354(69443) About Me 

Question 269703: I thought I new what I was doing, maybe I'm just tired. I created a system of 2 equations to find length and width and tried to substitute and solve. Please go over the steps and equations used.
A rectangular lot whose perimeter is 220 feet is fenced along three sides. An expensive fencing along the lot's length costs $20 per foot, and an inexpensive fencing along the two side widths costs only $8 per foot. The total cost of the fencing along the three sides comes to $2040. What are the lot's dimensions?
-Thank you

Click here to see answer by mananth(16946) About Me 

Question 269789: x-3y+7z+w=11
2x+4y+6z-3w=-3
3x+2y+z+2w=19
4x+y-3z+w=22
Systems of linear equations in three variables

Click here to see answer by Alan3354(69443) About Me 

Question 269835: Determine whether the system is consistent, inconsistent, or dependent.
3x + 2y = 15
6x + 4y = 30

Click here to see answer by drk(1908) About Me 

Question 269901: If 7 times a number is added to 3, the result is 2 less than 8 times the number. ( all I need is to know how to set up the equation)
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Question 270002: bob has 60 coins consisting of quarters and dimes. the coins combined value is $9.45. how many quarters and how many dimes are there.
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Question 270065: IS Y= -4 A SOLUTION FOR THIS INEQUALITY 6+3Y-7> 8(3X-3) + 1
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Question 270065: IS Y= -4 A SOLUTION FOR THIS INEQUALITY 6+3Y-7> 8(3X-3) + 1
Click here to see answer by Alan3354(69443) About Me 

Question 270355: could you please help me solve this? I have no clue at all how to do this.
Thanks
solve the system of linear equations using substitution:
y=2x
y=-4x+8

Click here to see answer by Alan3354(69443) About Me 

Question 270401: could system of equations be solved by elimanating with addition or subtraction
Click here to see answer by persian52(161) About Me 

Question 270497: Please explain this linear equation:
If x + y = 15 and x -y = -19 then xy = ?
Thanks,
Jesse Evans
jesseevans@hughes.net

Click here to see answer by vleith(2983) About Me 
Question 270497: Please explain this linear equation:
If x + y = 15 and x -y = -19 then xy = ?
Thanks,
Jesse Evans
jesseevans@hughes.net

Click here to see answer by persian52(161) About Me 
Question 270497: Please explain this linear equation:
If x + y = 15 and x -y = -19 then xy = ?
Thanks,
Jesse Evans
jesseevans@hughes.net

Click here to see answer by Alan3354(69443) About Me 

Question 270595: Write the ordered pair for f(-5) = 8 and identify the x- and y-values.
Click here to see answer by stanbon(75887) About Me 

Question 270598: What are the domain and range of each relation? Is the relation a function?
E= {(40,10),(-18,27),(38,10),(57,-15)}

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Question 270663: Write the linear equation in the form y=mxtb. identify the slope and y intercept: 2xt3y-10 my teacher's answer was :
y=mxtb
3y/3= -2xt10/3
y= -2x/3 + 10/3
m= -2/3
y= 10/3
is he correct?

Click here to see answer by Greenfinch(383) About Me 

Question 270859: solve for x and y for the following equations using elimination method:
0.5x + 2y = 9
4x - 15y = 2

Click here to see answer by JBarnum(2146) About Me 

Question 270917: Can you please help me write this as an equation?
one number is 3 more then twice another number.find the larger number if their sum is -15
I think it is written like this;
2x+3=x

Click here to see answer by ptaylor(2198) About Me 

Question 270963: word problem: there was two kids that were selling juice boxes and sandwiches at a local baseball game. They earned $730.50 that day. They sold a total of 540 items. How many juice boxes were sold and how many sandwhiches were sold.
Click here to see answer by solver91311(24713) About Me 

Question 271058: I need help with solving linear systems. I need to use the linear combinations to solve the system of linear equations. I have tried several and they are not coming out right.
3a+9b=8b-a
5a-10b=4a-9b+5
Please help me!

Click here to see answer by oberobic(2304) About Me 

Question 271088: OK, so I know the following is incorrect, so could you help me to figure out what I am doing wrong. I am trying to solve the linear equations by using linear combinations.
9X-3Z=20
3X+6Z=2
My answers were X=2 and Z= -.66 or -2/3
I would appreciate your help!

Click here to see answer by LarissaRichardson(34) About Me 
Question 271088: OK, so I know the following is incorrect, so could you help me to figure out what I am doing wrong. I am trying to solve the linear equations by using linear combinations.
9X-3Z=20
3X+6Z=2
My answers were X=2 and Z= -.66 or -2/3
I would appreciate your help!

Click here to see answer by unlockmath(1688) About Me 

Question 270496: Please explain this linear equation:
If x + y = 15 and x -y = -19 then xy = ?
Thanks,
Jesse Evans
jesseevans@hughes.net

Click here to see answer by papugai(18) About Me 

Question 271152: If the larger of two numbers is divided by 6 and is subtracted from three times the smaller number, the result is 44. If the smaller number is increased by 4, the result is half the largest number. Find the numbers. This is so comples I do not know how to set it up. I know 3X-n/6=44 and the part +4 = 1/2n
Click here to see answer by Greenfinch(383) About Me 
Question 271152: If the larger of two numbers is divided by 6 and is subtracted from three times the smaller number, the result is 44. If the smaller number is increased by 4, the result is half the largest number. Find the numbers. This is so comples I do not know how to set it up. I know 3X-n/6=44 and the part +4 = 1/2n
Click here to see answer by Edwin McCravy(20056) About Me 

Question 271186: 1 number is 4 less than 3 times another. If their sum is increased by 5, the result is 25. Find the numbers.
The numbers are 6 & 14 - how did they get 6, I can figure out 14 but missing an essential part.
Thank you.

Click here to see answer by craigt(10) About Me 
Question 271186: 1 number is 4 less than 3 times another. If their sum is increased by 5, the result is 25. Find the numbers.
The numbers are 6 & 14 - how did they get 6, I can figure out 14 but missing an essential part.
Thank you.

Click here to see answer by meow123(2) About Me 

Question 271155: A store owner has two different blends of coffee. Brand A sells for $10.50/lb and Brand B sells for $5.75/lb. The owner wants to create a 25 lb mixture of Brand A and B to sell for $8.22 a pound. How much of each blend should he use?
Click here to see answer by josmiceli(19441) About Me 

Question 271456: 2x+y=12, 3x-y=13
How do you solve this equation for x and y?

Click here to see answer by scott8148(6628) About Me 

Question 271575: A steamboat went 8 miles upstream in 1 hour. The return trip took only 30 minutes. Assume that the speed of the current and the direction were constant during both parts of the trip. Find the speed of the boat in still water and the speed of the current.
Please help me figure out what 2 equations I would use and then I believe I can get the answer.
Thanks in advance for your help!

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

Question 271657: 3x+5y=-6, 3x-15/2y=-9
Click here to see answer by checkley77(12844) About Me 

Question 271709: solve by substitution
3m + n =1
m - 4n = 9

Click here to see answer by LarissaRichardson(34) About Me 

Question 271707: solve by elimmination method
6x - 9y = 25.5
7y - 2x = -10.5

Click here to see answer by Tobiasz(54) About Me 

Question 271706: solve by elimination
5x + 5y = -13
7x - 2y = 17

Click here to see answer by Tobiasz(54) About Me 

Question 271708: solve by elimination method
0.3x - 0.2y = 4
0.4x + 0.5y = 63/19

Click here to see answer by Tobiasz(54) About Me 

Question 271804: You plant a 14 inch hemlock tree in your back yard that grows at a rate of 4 inches per year and an 8 inch blue spuce tree that grows at a rate of 6 inches per year. In how many years after you plant the trees will the two trees be the same height? And how tall will they be?
I have tried the following:
4x + 6y = 365
x + y = 2

Click here to see answer by scott8148(6628) About Me 

Question 271870: 6-4(-6x+8)=7(-3x-3)+7
Click here to see answer by LarissaRichardson(34) About Me 

Question 272066: Please solve this using the elimination method.
2x + 3y = 2
-28 = 4x - 2y

Click here to see answer by checkley77(12844) About Me 

Question 272065: Please solve this using the elimination method.
9x + 2y = 2
21x + 6y = 4

Click here to see answer by checkley77(12844) About Me 

Question 272064: Please solve this using the substitution method.
x = 3y - 5
6x - 18y = -30

Click here to see answer by checkley77(12844) About Me 

Question 272054: (2,4),(x,8)m=-2
how do you find x or y?

Click here to see answer by checkley77(12844) About Me 

Question 272110: the perimeter of a rectangle is 114 feet. it's length is three more than twice its width. find the dimensions of the rectangle
please show the work

Click here to see answer by rfer(16322) About Me 

Question 272069: 50% of what number is 45
Click here to see answer by rfer(16322) About Me 

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