Questions on Algebra: Equations answered by real tutors!

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Question 220926: solve by the substitution method.
9x - 4y = -44
7x + 49 = y
The solution is ___? (type an ordered pair)

Thank you very much :)
Click here to see answer by drj(1380)

Question 220924: solve by the substitution method.
6m + n = 28
m - 3n = 11
The solution is ___? (type an ordered pair)

Thank you =)
Click here to see answer by drj(1380)

Question 220923: solve by the substitution method.
3x + 9y = 3
-4x + y = 22
The solution is ___? (type an ordered pair)

Thank you =)
Click here to see answer by drj(1380)

Question 220969: Write the following phrase as a variable expression. Use x to represent "a number".
The sum of eight and a number added to the product of fourteen and the number.
Click here to see answer by likaaka(51)

Question 220967: solve using the elimination method
5r-6s=-5
6r+5s=55
The answer should be an ordered pair and either an integer or fraction.
Click here to see answer by drj(1380)

Question 220967: solve using the elimination method
5r-6s=-5
6r+5s=55
The answer should be an ordered pair and either an integer or fraction.
Click here to see answer by checkley77(12844)

Question 220973: would the solution (5,5) mean that there are no solutions to the equation or that there are infinitely many solutions?
Click here to see answer by checkley77(12844)

Question 220976: A 12cm piece of tubing is cut into two pieces. One piece is 4 cm longer than the other. How long are the pieces?
Click here to see answer by rfer(16322)

Question 220978: Find three consecutive odd integers such that the sum of the first, two times the second, and three times the third is 82.
Click here to see answer by drj(1380)

Question 220977: The product of 6 and nine times a number is the same as the difference of ten times the number and 2. What is the number?
Click here to see answer by checkley77(12844)

Question 221048: I need help on this word problem setting up the equation. A 2000L tank containing 550L of water is being filled with water at the rate of 75L per minute from a full 1600L tank. How long will it be before the two tanks have the same amount of water? X equals time. Not sure how to set up this equation and solve.
Click here to see answer by rapaljer(4671)

Question 221017: I really cannot figure this out! Please help!!!
A disk jockey must play 12 commercial spots during one hour of a radio show. Each comercial is either 30 seconds or 60 seconds long. If the total commercial time during one hour is 8 minutes, how many 30-sec commercials were played that hour? How many 60-sec commercials?
Click here to see answer by ankor@dixie-net.com(22740)

Question 221103: the length of a triangle is twice the width. The perimeter is 84 centimeters more than the width. Find the rectangles dimensions. Please help. How do you find this out without knowing the perimeter. Thank you.
Click here to see answer by rfer(16322)

Question 221047: I need help setting up this equation to solve this problem. The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 units shorter than the perimeter. I figure N is the side. N+2 and N+4 is the consecutive. The perimeter is 3n+6-22 but how do you set this all up?
Click here to see answer by scott8148(6628)

Question 221177: I have tried to solve the below equation and would to verify that I am correct in my process - thank you.
x/x+3 = 2/x-3
x(x-3)=2(x+3)
x^2-3x=3x+6
x^2-5x-6=0
(x-3)(x-2)
x-3=0, x=3
x-2=0, x=2

Click here to see answer by Alan3354(69443)

Question 221146: Simplify the algebraic expression
2x - 3y - 7y + 4x � 5
and evaluate it for x = 10, y = 4.
Identify the variables, constants, and coefficients in the simplified expression.

Click here to see answer by drj(1380)

Question 221182: how do you simlify expressions? like y+10y how do you solve it?
Click here to see answer by jim_thompson5910(35256)

Question 221220: S=(a-rl)/(1-r) solve for l we get l=(a-S-Sr)/r Bagatrix solver tells us the Sr should be positive, what step did we miss or mess up on.
Click here to see answer by rapaljer(4671)

Question 221221: I am performing mass balance equations and came across an equation I can not figure out because of the units.
(30 grams/sec)(QR)+(10 grams/cubic meter)(QR) = 40 grams/sec
QR is some value for a hypothetical water reservoir flow rate. Would I be able to subtract 30 and then solve by dividing 10? I don't think I can because the units are not the same.
Please help. Thanks.
Click here to see answer by RAY100(1637)

Question 221276: how do I solve this equation?
8+a/2=4+2a
Click here to see answer by checkley77(12844)

Question 221277: Okay, I am in a basic math class at the Art Institute online. I do not want the answer given to me. I am trying to figure out how to set the problem up so that I can answer it myself. I went to this site, http://oakroadsystems.com/math/convert.htm, but I do not understand where to put which numbers. The problem is 1mm = _____cm. The following is the information that I am given in my lecture.

Unit of Length In Meters Relation with the British Standard Units
Kilometer (km) 1000 1 mi = 1.61 km
Meter (m) 1 1 m = 3.28 ft, 1 m = 1.09 yd
Centimeter (cm) 1/100 1 inch = 2.54 cm
Millimeter (mm) 1/1000 1 inch = 25.4 mm
I think I should be able to solve this with the information given, but I do not understand how to start the equation to solve it. Can someone please help.
Thank you,
Jacquie
Click here to see answer by Alan3354(69443)

Question 221293: how do you solve this equation step by step (x^4+8x^2-1)-(x^2-3x^3+x^4)
Click here to see answer by sofiyac(983)

Question 221308: write the equation of the line that goes through the point (0,3/2) and is perpendicular to the line 5y=3x-4. the equation has to be in standard form. i dont know how to get rid of the fraction in the points.
Click here to see answer by Alan3354(69443)

Question 221439: In need to write an equation 2 less than 7 times a number is nineteen.
email address is farog1955@msn.com
Click here to see answer by Earlsdon(6294)

Question 221426: With these thoughts in mind, consider different strategies you can use to solve the following problem:
452 + 721 + 908
Solve the problem using at least two methods other than the traditional algorithm.
You may add 400+700+900=2000, then add the tens and ones 52+21+08=81, and lastly add these two numbers together 2000+81=2081.
You may add two numbers at a time: 452+721=1173+908= 2081.

Click here to see answer by stanbon(75887)

Question 221454: Find the general term of the set. {2, 4, 6, 8, 10, . . .}

Click here to see answer by drj(1380)

Question 221418: word problem- A student averages 84 on five tests. If the student received grades of 84, 82, 81, and 79 on the first four exams, what grade did the student receive on the fifth exam?
I have no idea how to go about solving this.
Click here to see answer by rfer(16322)

Question 221524: Hi all, can anyone show me how to solve the following intergral, I cant figure it out. (The 0 should be beneath the 10, but I couldnt figure out how to show it this way)
0∫10 m(x)dx
Any help would be greatly appreciated.
Thanks, -nick.
Click here to see answer by user_dude2008(1862)

Question 221246: What is a complex fraction? Explain.

Click here to see answer by likaaka(51)

Question 221380: Can someone please solve this sum for me and explain how you got to the answer?
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass beofre the second cyclist catches up with the first from the time the second cyclist started biking?
muchos gracias (:
Click here to see answer by ankor@dixie-net.com(22740)

Question 221717: 25% of 300 is equal to 500 of T, then T is equal to what number?
Click here to see answer by rfer(16322)

Question 221738: 9(K-4)+2K=2(K-1)=7K

Click here to see answer by rapaljer(4671)

Question 221662: Hi, I am having trouble with a word problem. The problem states "When a rock is dropped from a cliff into an ocean, it travels approximately 16t^2 ft in t seconds. If the splash is heard 4.5 seconds later and the speed of sounds is 1100ft/sec, approximate the height of the cliff."
Thanks in advance.
Click here to see answer by ankor@dixie-net.com(22740)

Question 221831: solve the following equation for A : 2A/3=8+4A
Click here to see answer by stanbon(75887)

Question 221815: Ryan does one third of his journey to school by car, and one half by bus. Then he walks the final kilometer. How long is his journey to school?
Click here to see answer by josmiceli(19441)

Question 221850: x+y^10
Click here to see answer by Alan3354(69443)

Question 221896: stephen spent 38.72on new shoes and 23.19 on computer software.when she was finished she had 31.18.how muck money did she have before she whent shopping?
i have to use an equation to answer it how whould i doit do not tell me the answer.just how. love,
amber
Click here to see answer by checkley77(12844)

Question 221907: p(1+r/n)=J solve for j
Click here to see answer by Alan3354(69443)

Question 221988: I will appreciate it if someone could help me out with my homework, its really difficult to me one of the questions is:
Click here to see answer by jim_thompson5910(35256)

Question 222037: i need help with this because i cant seem to figure it out: 5y-4=7
Click here to see answer by checkley77(12844)

Question 222076: Write an equation of the line. Show all work.

slope = one third.

y-intercept= -4

thank you
Click here to see answer by Alan3354(69443)

Question 222076: Write an equation of the line. Show all work.

slope = one third.

y-intercept= -4

thank you
Click here to see answer by rapaljer(4671)

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, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580