Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 480176: To buy both a new car and a new house, Tina sought two loans totaling $319,531. The simple interest rate on the first loan was 2.7%, while the simple interest rate on the second loan was 2.6%. At the end of the year, Tina paid a combined interest payment of $8334.15. What were the amounts of the two loans?
Click here to see answer by Theo(13342)

Question 480236: I need help solving this please.
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
7x - 6y = -88.5
-28x + 24y = -354
Click here to see answer by Alan3354(69443)

Question 480276: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 11y = -50
-32x � 44y = -200
Click here to see answer by Alan3354(69443)

Question 480315: Will someone please help me with this one....
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x + 6y = -3
-6x + 4y = -10

Click here to see answer by stanbon(75887)

Question 480443: The sum of three numbers is 33. The first number is 3 less than the second, while the third is 3 more than the second. What are the numbers?
Click here to see answer by Aswathy(23)

Question 480499: In business, the break-even point means?
Click here to see answer by nerdybill(7384)

Question 480496: Assume that a company has total annual fixed costs of $480,000 and that variable costs is $6 per unit. If each unit sells for $10, then each unit exceeds the specific variable costs by $4.
a. What is the cost function?
b. What is the revenue function?
c. How many units must be sold in order for the company to break-even?

Click here to see answer by nerdybill(7384)

Question 480495:
A manufacturing company makes ladies purses receiving $120 for each purse sold. If x represents the number of purses made, the income received is determined by the revenue function R(x) = 120x. The company has a fixed cost of $12,000 per month and variable costs of $57.50 for each purse made. The cost function is C(x) = 57.5x + 12000. How many purses must the company sell for revenue to equal cost?
Click here to see answer by nerdybill(7384)

Question 480501: evaluate the determinant
-3 4
-8 -7
Click here to see answer by ewatrrr(24785)

Question 480500: evaluate the following determinant
-4 -3 3
5 1 -3
7 -1 2
Click here to see answer by ewatrrr(24785)

Question 480490: Given the system of linear equations: y = 2x + 5 and - 2x + y = 7 , which one of the following statements is true?
The system has no solutions.
The system has one solution ( - 1, 3).
The system has one solution (7, 7).
The system has an infinite number of solutions.

Click here to see answer by ewatrrr(24785)

Question 480489: Solve the system of linear equations using any method.
2x + y = 5 and 4x + 3y = 11
does this have?
The system has infinitely many solutions.
The system has one and only one solution (2, 1).
The system has no solutions.
none of the above?
Click here to see answer by ewatrrr(24785)

Question 480512: Hi!
I need some help with this equiation.. My answer is supposed to be 5x/(x+5) but I keep on getting something else..
Please help!!!!!
((1/x)-(1/5))/((1/x^2)-(1/25))
Click here to see answer by ewatrrr(24785)

Question 480566: Here is my question, where did I go wrong with this problem?
-5 + 4b - 7 - 5b =
-5 = (-5b) + (-7) + 4b=-10 + -7 = -17 + 4b = -21
Click here to see answer by Alan3354(69443)

Question 480562: Write the equation for this situation.
Durning the month of january, the depth,d, of snow in inches at the base of one ski resort could be approximated by adding 5 to twice the number of days,t, since december 31st. the graph the equation and use the graph to determine the depth of snow on january 15
Click here to see answer by Theo(13342)

Question 480687: I need to simplify "y+y"...what is it
Click here to see answer by Theo(13342)

Question 480687: I need to simplify "y+y"...what is it
Click here to see answer by stanbon(75887)

Question 480707: I can't solve this.
15x^4 - 28x^2 + 5=0
The solution is x=__
Click here to see answer by emargo19(101)

Question 480707: I can't solve this.
15x^4 - 28x^2 + 5=0
The solution is x=__
Click here to see answer by MathLover1(20849)

Question 480755: If M/N =5, then M^2 - 25x^2=
A)25 B)24 C)0 D)-24 E)-25
Click here to see answer by mananth(16946)

Question 480798: HI.. Me and my friend have been all afternoon trying to figure this problem out. We get many different answers but not the correct one..
the problem is:
(9-x^-2) / (3 + x^-1)
the answer is (3x + 1) / (x)
we would really appreciate someone to answer us as fast as possible and we will leave very good reviews on your sites
thanks
Click here to see answer by Tatiana_Stebko(1539)

Question 480753: If X+Y/Y =4 and X+Z/Z =6, what is the value of Y/Z?
A) 3/5 B) 2/3 C)1 D) 3/2 E)5/3
Click here to see answer by Tatiana_Stebko(1539)

Question 480814: The sum of three consecutive even integers is 42.
Click here to see answer by Tatiana_Stebko(1539)

Question 480835: Am working on a problem for a spreadsheet design and modeling class and need to use simple algebra to solve the following problem:
9Xi + 6(200 - Xi) =1,566
The answer is 122, but I would like to know how the answer was determined.
Thank you Don at wvudonpost@aol.com
Click here to see answer by mathstutor494(120)

Question 480852: Find f(-2) given that f(x) = 4x^2-2x-25
Click here to see answer by ewatrrr(24785)

Question 480903: 5x^4 - 45x^3 + 25x^2
What is the complete factorization?
Click here to see answer by MathLover1(20849)

Question 481049: Please simplify-
4√3+5√3-3√3 i understand it should come to 6√3, do i need to simplify it further?
Click here to see answer by jim_thompson5910(35256)

Question 481122: x = 5 + 2x - 3

Solve the value of x
I do believe the answer is -2 but I do not know how to explain each step we take to get the answer. Can someone help?

Click here to see answer by mananth(16946)

Question 481152: hello please could you help me rearrange this equation in terms of x
y= x+2/x=1
i have got x= 2-y / y-1 but am not sure if it is right
thank you so much

Click here to see answer by Alan3354(69443)

Question 481165: Find the area of the triangle.
Width is 13 ft the width is 40 feet
Click here to see answer by nerdybill(7384)

Question 481198: what is the formula of an odd consecutive integer??
Click here to see answer by richard1234(7193)

Question 481198: what is the formula of an odd consecutive integer??
Click here to see answer by Alan3354(69443)

Question 481234: Y1Y1 + 1671 = 5812
Y = ?
Click here to see answer by Alan3354(69443)

Question 481234: Y1Y1 + 1671 = 5812
Y = ?
Click here to see answer by richard1234(7193)

Question 481248: Solve 7^-x+3=50
Click here to see answer by nerdybill(7384)

Question 481232: Use scientific notation to divide the following two numbers. Express the answer using scientific notation; retain at least three decimal places.
(8.7 � 109) / (3.22 � 102)
Click here to see answer by rfer(16322)

Question 481223: what is a/-6=2
Click here to see answer by rfer(16322)

Question 481231: I need help please.

Multiply the expressions, and simplify.
(-10x-5y-2) � (-9x-4y)
Click here to see answer by rfer(16322)

Question 481279: solve for u:
4/3u-6 = 7/3u+8
Click here to see answer by jorel1380(3719)

Question 481317: a) The sales representative here tells you they also have two floor plans available, but they only have 50 homes available. The representative tells you that floor plan #1 sells for $150,000 and floor plan #2 sells for $100,000. She also mentions that all the available houses combined are worth $7 million. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2

b) Use elimination method to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

Click here to see answer by mananth(16946)

Question 481418: Problem says:
A charity asked people attending a fundraiser cookout if they ate the salad, casserole or dessert. Of those surveyed, how many people ate dessert, but not casserole?
Here is the Venn diagram of the results:
http://www.flickr.com/photos/62474130@N03/6040495152/
Would you help me with this please? Thanks very much.

Click here to see answer by kingme18(98)

Question 481490: Can you please show me all the steps on how to find all solutions of this equation?

Thank you so much!
If you could give me my answer by 10:00 PM tonight that would be great!

Click here to see answer by Alan3354(69443)

Question 481502: 2-x(9+x^2) for x=-2
Click here to see answer by jorel1380(3719)

Question 481512: Please help me solve this equation: 6=3n-n
Click here to see answer by MathLover1(20849)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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