Questions on Algebra: Equations answered by real tutors!

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Question 935104: Solve the system by elimination. 6x - y = -5 & 4x - 2y = 6
Click here to see answer by Alan3354(69443) About Me 
Question 935104: Solve the system by elimination. 6x - y = -5 & 4x - 2y = 6
Click here to see answer by TimothyLamb(4379) About Me 

Question 935103: Solve the system by elimination. 6x - y = -5 & 4x - 2y = 6
Click here to see answer by Alan3354(69443) About Me 

Question 935116: If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k =
Click here to see answer by stanbon(75887) About Me 

Question 935093: • You must use all four numbers.
• You may not change the order of the numbers.
• You must use each number as a one-digit number. Do not combine them to make a two-digit number such as 86 or 64.
• You can only add parentheses and the symbols +, −, •, ÷ to create your expression from these four numbers.
Using the numbers 8, 6, 4, and 2 write an expression that equals 32.

Click here to see answer by MathLover1(20849) About Me 

Question 935139: Dear sir/madam,
Thank you or taking the time to help me solve my problem. Here it is:
Problem:
If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.
My attempt: (I'm having trouble writing the equation!!!)
Complimentary angles = 90 degrees, therefore:
90 - a
Supplementary angles = 180 degrees therefore:
180 - 1/6a - 5
Therefore:
90 -a = 180 -1/6a - 5
6(90) - 6(a) = 6(180) - 6(1/6)a - 6(5)
540 - 6a = 1080 - a - 30
540 - 6a = 1050 - a
540 - 540 - 6a = 1050 - 540 - a
- 6a = 510 - a

- 6a + a = 510
- 5a = 510
- 5a/5 = 510/5
-a = 102
a = - 102
Obviously an angle can't be negative so I must have written the wrong equation.
Any help you could provide would be most appreciated.
Kindest regards,
Mark Beaton

Click here to see answer by mananth(16946) About Me 
Question 935139: Dear sir/madam,
Thank you or taking the time to help me solve my problem. Here it is:
Problem:
If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.
My attempt: (I'm having trouble writing the equation!!!)
Complimentary angles = 90 degrees, therefore:
90 - a
Supplementary angles = 180 degrees therefore:
180 - 1/6a - 5
Therefore:
90 -a = 180 -1/6a - 5
6(90) - 6(a) = 6(180) - 6(1/6)a - 6(5)
540 - 6a = 1080 - a - 30
540 - 6a = 1050 - a
540 - 540 - 6a = 1050 - 540 - a
- 6a = 510 - a

- 6a + a = 510
- 5a = 510
- 5a/5 = 510/5
-a = 102
a = - 102
Obviously an angle can't be negative so I must have written the wrong equation.
Any help you could provide would be most appreciated.
Kindest regards,
Mark Beaton

Click here to see answer by josgarithmetic(39617) About Me 

Question 935148: Hello!
Thanks in advance for your help.

I'm having trouble with this problem:
0.92 + 0.9(x - 0.3) = 2x - 5.95

My attempt at a solution:

100(0.92) + 100[0.9(x - 0.3)] = 100(2x) - 100(5.95)
92 + 9(x - 0.3) = 200x - 595
This is where I'm having trouble. I'm not sure how to proceed. This is my attempt:
92 + 9x - 2.7 = 200x - 595
I was told to multiply by a factor of 10 to remove the decimals:

10(92) + 10(9x) - 10(2.7) = 10(200x) - 10(595)

920 + 90x - 27 = 2000x - 5950
893 + 90x = 2000x - 5950
893 + 90x - 2000x = 2000x - 2000x - 5950
893 - 1910x = -5950
893 - 893 - 1910x = -5950 - 893
-1910x = -6843
-1910x/1910 = -6843/1910
-x = -3.58
x = 3.58
The textbook says the answer is 6. It looked like such as easy problem but I'm stuck on it.
I would be most grateful if you could help.
Merry Christmas!
Mark Beaton

Click here to see answer by josgarithmetic(39617) About Me 
Question 935148: Hello!
Thanks in advance for your help.

I'm having trouble with this problem:
0.92 + 0.9(x - 0.3) = 2x - 5.95

My attempt at a solution:

100(0.92) + 100[0.9(x - 0.3)] = 100(2x) - 100(5.95)
92 + 9(x - 0.3) = 200x - 595
This is where I'm having trouble. I'm not sure how to proceed. This is my attempt:
92 + 9x - 2.7 = 200x - 595
I was told to multiply by a factor of 10 to remove the decimals:

10(92) + 10(9x) - 10(2.7) = 10(200x) - 10(595)

920 + 90x - 27 = 2000x - 5950
893 + 90x = 2000x - 5950
893 + 90x - 2000x = 2000x - 2000x - 5950
893 - 1910x = -5950
893 - 893 - 1910x = -5950 - 893
-1910x = -6843
-1910x/1910 = -6843/1910
-x = -3.58
x = 3.58
The textbook says the answer is 6. It looked like such as easy problem but I'm stuck on it.
I would be most grateful if you could help.
Merry Christmas!
Mark Beaton

Click here to see answer by MathTherapy(10551) About Me 

Question 935241: forty divided by a number is 8
Click here to see answer by Theo(13342) About Me 

Question 935242: what is thirty less than 40 is a number

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

Question 935259: There are 42 people on a bus. There are 30 more children on the bus than adults. How many children and adults are on the bus? Write a system of equations & solve

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Question 933869: A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days 4/7 of the work is completed. How many additional men may be employed so that the work be completed in time, each man now working 9 hours a day?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 935377: what is the answer to 20y+5=9 as a fraction

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Question 935379: what is z equal to when the equation is 3z/10+6=10
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Question 935380: what is the answer to 18y+2=8 as a fraction

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Question 935381: what is z equal to when the equation is 3z/7-1=9
Click here to see answer by oscargut(2103) About Me 

Question 935440: If 5 is subtracted from a number and the result is multiplied by 10, the answer is 20. Find the number

Click here to see answer by MathLover1(20849) About Me 

Question 935442: what is the answer to 21y+1=7 as a fraction

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

Question 935443: what does z equal to when the equation is 3z/10+3=-8
Click here to see answer by Alan3354(69443) About Me 

Question 935458: what is the answer to 3z/10-9=-8 as a fraction
Click here to see answer by josgarithmetic(39617) About Me 

Question 935441: A can do a piece of work in 10 days, B can do the same in 30 days and C in 60 days. If A is assisted on alternate days by B and C, in how many days would the work get completed?
Click here to see answer by josgarithmetic(39617) About Me 

Question 935468:
What does y equal to in the equation 42y+5=17

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Question 935457: what is the answer to 42y+5=17 as a fraction

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

Question 935558: solve the equations
-143=7x-3(2x+13)
5x+3/9=-3

Click here to see answer by TimothyLamb(4379) About Me 

Question 935568: (2x+3)(x+4)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 933479: write in interval and inequality notation.
N/(-2) >4

Click here to see answer by Fombitz(32388) About Me 

Question 935661: Hello,
Please help me write a system of 3 linear equations in 3 variables given the solution set (3,2,-5). I've tried so many times but I just can't get it right. Thank you in advance.

Click here to see answer by Alan3354(69443) About Me 
Question 935661: Hello,
Please help me write a system of 3 linear equations in 3 variables given the solution set (3,2,-5). I've tried so many times but I just can't get it right. Thank you in advance.

Click here to see answer by MathLover1(20849) About Me 

Question 932957: solve each equation.
2/y+ 5/2 = 4 - 2/3y

Click here to see answer by tommyt3rd(5050) About Me 

Question 931841: solve each equation.
2/y+ 5/2 – 4 - 2/3y

Click here to see answer by tommyt3rd(5050) About Me 

Question 933139: solve each equation.
2/y+ 5/2 = 4 - 2/3y

Click here to see answer by tommyt3rd(5050) About Me 

Question 933117: write a formula for the slope of a line that is perpendicular to the line through the points (x1,y1) and (x2,y2)

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Question 932361: Find the point of equilibrium of the demand
and supply equations
Demand p = 440 − 0.0003x
Supply p = 230 + 0.0007x
Find the value of p.

Click here to see answer by tommyt3rd(5050) About Me 

Question 932425: solve the equation
ln x- ln (x-3) = ln 5
Thank you

Click here to see answer by tommyt3rd(5050) About Me 

Question 935776: solve xy=8 and x^2+y^2=16
Click here to see answer by rothauserc(4718) About Me 

Question 935881: if the straight line L1: 3x+y-9=0 and L2: 2x-9y+k=o have the same x-intercept, find
(a) the value of k
(b) the y-intercept

Click here to see answer by Theo(13342) About Me 

Question 935912: Simplify the expression of [36-(4+6)+2]-[1+12+3]
Click here to see answer by josgarithmetic(39617) About Me 

Question 935949: Please help me write a system of 3 linear equations in 3 variables given the solution set (-2,3,4). Thank you in advance.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 935946: Adam is 8 years older than eve. 17 years ago Adam was twice older than eve. In how many years will Adams age be twice eves age now?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 935970: How to graph t>0?
Click here to see answer by MathLover1(20849) About Me 

Question 935969: What is the given point-slope form in slope-intercept form for y-2+3x+3?
Click here to see answer by Alan3354(69443) About Me 

Question 936026: The formula for the area of a trapezoid is A=1/2*h(b1+b2).Express b1 in terms of A,h, and b2.
Click here to see answer by MathLover1(20849) About Me 

Question 936050: Write an equation for the line that passes through the points shown in the table.
x=-2,-1,0,2,1
y=1,1,1,1,1

Click here to see answer by srinivas.g(540) About Me 

Question 936051: How would I write an equation for a horizontal and vertical line that passes through the points of (-2,3)?
Click here to see answer by srinivas.g(540) 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, 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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, 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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