Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 208500: solve algebraically: 2x+7y=5
6x+y+5
A) (-15/8 , 5/4)
B) (1,-1)
C) (6,-1)
D) (3/4 , 1/2)

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Question 208502: solve algebraically: 6x-3y+8z=4
-x+9y--2z=2
4x+6y-4z=3

A) (5/2, 5/3, -3/4)
B) (1,-2,-1)
C) (1/2, 1/3, 1/4)
d) (5, -2, 5/4)

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Question 209597: solve for y
2/3x - 4y = 6
i got this far
4y = 2/3x-6
I know i have to divide the 2/3x-6 by 4 but am not sure how to do that with a fraction

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Question 209626: GRAPH THE EQUATION: 2y = 4x -2
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Question 209683: Story problems always confuse me. I have tried and tried to get this one, and I can't do it. Can some one please help me?

The 1990 life expectancy of males in a certain country was 71.3 years. In 1995, it was 74.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990.
The linear function E(t) that fits the data is
E(t) = ___t + ___ (round to the nearest tenth)
Use the function to predict the life expectancy in males in 2006
E(16) = ____ (round to the nearest tenth)

Click here to see answer by Alan3354(69443) About Me 
Question 209683: Story problems always confuse me. I have tried and tried to get this one, and I can't do it. Can some one please help me?

The 1990 life expectancy of males in a certain country was 71.3 years. In 1995, it was 74.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990.
The linear function E(t) that fits the data is
E(t) = ___t + ___ (round to the nearest tenth)
Use the function to predict the life expectancy in males in 2006
E(16) = ____ (round to the nearest tenth)

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

Question 209746: Find the equation of a line with a slope of 3/5 that passes throught the point (-1,3)
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Question 209732: Find the slope of the line that passes through the given point, if possible (If the slope is underdefined, enter underfined in the answer box. (0,-3), (-8,0).
Thanks so mmuch for your help.

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Question 209817: What is the slope of the line passing through the points A(5,-1) and B(-8,3)?

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Question 209799: The sum of the two non right angles in a right triangle is, of course, 90 .If twice the first is 40 more than 3 times the second find the angles.
pls help me to solve this one
thank you very much for your help

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Question 209825: I need help with this one. I cannot seem to understand it. I have tried for about an hour and a half and nothing is coming out of it. I am stuck. Can amyone help me solve this one?
2x/3 + 3y/4 = 11/12, x/3 + 7y/18 = 1/2
(solve using elimination method)
Your help is greatly appreciated.

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Question 209864: Write the equation of the parallel to -3x+2y=9 and containing the point (-2,1) in slope-intercept form.
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Question 209888: is this a linear equation y= -5x?
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Question 209952: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 10%. He made a total of $420 in interest. How much was invested at 10%?

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Question 209968: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Mardi received an inheritance of $70,000. She invested part at 10% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was $6800. Find the amount invested at 10%.

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

Question 210037: hmmm ., actually this not a question ., i just don't understand how to define a parallel and perpendicular line ., i dunno how to solve it ., please help me.! i searched many sites but i still can't get it .,
Click here to see answer by nyc_function(2741) About Me 

Question 210058: solve 4x^2 + 12x - 7=0 by completing the square.
Click here to see answer by stanbon(75887) About Me 

Question 210075: find the value of
|3 5|
|7 -2|

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Question 210070: SOLVE |2-3x|<= 4.
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Question 210089: determine the value of w so that the line whose equation is 5x-2y= -w passes through the point at(-1,3).
Click here to see answer by Alan3354(69443) About Me 

Question 210066: solve 1=(y+3)(2y-2)
Click here to see answer by Earlsdon(6294) About Me 

Question 210062: find the slope of the line passing through the points at (a,a+3) and (4a,a-5).
Click here to see answer by Alan3354(69443) About Me 

Question 210097: graph f(x)= 1 / x-1
Click here to see answer by Earlsdon(6294) About Me 

Question 210096: write the slope-intercept form of the equation 6x+y+9=0. then graph the equation
Click here to see answer by Earlsdon(6294) About Me 

Question 210092: use the Remainder Theorem to find the remainder of
(x^3-5x^2+7x+3)divided by (x-2). state whether the binomial is a factor of the polynomial.

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Question 210091: solve x- sqrt2x+1 =7
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Question 210074: state the domain and range of {(-5,2), (4,3), (-2,0), (-5,1)}. then state whether the relation is a function.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 210099: approximate the greatest real zero of the function g(x)=x^3-3x+1 to the nearest tenth.
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Question 210069: name all the values of x that are not in the domain of f(x)= 2-x^2/ x+5
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Question 210127: approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth.
a)-2
b)+-1.4
c)+-1.5
d)no real root

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Question 210024: A woman has a daughter and a son. The son is three years older than the daughter. In one year the woman will be six times as old as the daughter is now, and in ten years she will be fourteen years older than the combined ages(in ten years) of her children. What is the woman's present age?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210138: write the slop-intercept form of the equation of the line that passes through the point (-5,4) and has a slop of -1
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Question 210133: solve the system of equations: y=3x-10 and x=12-4y
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Question 210121: state the slope, y intercept, and x intercept of 4x+2y+8=0
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Question 210094: write the standard form of the equation of the line that passes through (-3,7) and is perpendicular to the line with equation y=3x-5.
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Question 210219: -6-(3a-7)-2a=a-6
Click here to see answer by jim_thompson5910(35256) About Me 
Question 210219: -6-(3a-7)-2a=a-6
Click here to see answer by stanbon(75887) About Me 

Question 210178: WRITE THE EQUATION OF THE LINE THAT PASSES THRU THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE. WRITE THE ANSWER IN SLOPE INTERCEPT FORM.
(-4,2), y+2x = -17

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Question 210112: what is the slope of the tangent line of x^2 +3x at x=4 and x^2 + 3x at X=1
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Question 210139: describe how the graph of y=|x-2| is related to the parent graph.
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Question 210155: are f(x)=1/2x+5 and g(x)=2x-5 inverses of each other?
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Question 210113: what is the slope of the tangent line of x^2 +3x at x=4 and x^2 + 3x at X=1
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Question 210134: solve the equations algebraically:
1/3x+1/3y=1
2x+2y=9

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Question 210077: determine the slant asympotte for f(x)= x^2-5x-3 / x
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Question 210072: determine whether the function f(x)=x+1 is odd,even,or neither
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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, 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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, 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