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

Tutors Answer Your Questions about Linear-equations (FREE)

Question 38919: 4. Find values for m and b in the following system so that the solution to the system is (-3,4).
5x + 7y = b
mx + y = 22

Click here to see answer by fractalier(6550)

Question 44125: 4-(2x-9)=-19
Click here to see answer by adamchapman(301)

Question 44124: (4x-2)/(5)=10
Click here to see answer by adamchapman(301)

Question 44123: (-x)/(3)-5=2x
Click here to see answer by adamchapman(301)

Question 44117: 4 - (2x-9) = -19
Click here to see answer by fractalier(6550)

Question 44117: 4 - (2x-9) = -19
Click here to see answer by adamchapman(301)

Question 44040: A husky running a thousand mile race between Anchorage and Nome, Alaska burns 5 3/8 calories in exertion for every 1 calorie burned in thermoregulation in extreme cold. According to one scientific study, a husky in top condition burns an amazing total of 11,200 calories per day. How many calories are burned for exertion, and how many are burned for regulation of body temperature? Round answeres to the nearest whole number?
Click here to see answer by checkley71(8403)

Question 44275: What is the y value of the y-intercept for the graph of the equation
-4x+5y=9?
Is it 9/5
Click here to see answer by AnlytcPhil(1806)

Question 44249: Please help me solve this problem:
If the numerator of a fraction is increased by 6 and the denominator is decreased by 5, the resulting fraction is 3/4.If the reciprocal of the original fraction is decreased by 1, the resulting fraction is 16/9. Find the original fraction.
Thank you!
Click here to see answer by venugopalramana(3286)

Question 44194: Solve using the square root property:
2x2 = 40
Click here to see answer by fractalier(6550)

Question 44193: Solve by factoring:
x2 � 5x = 6
Click here to see answer by fractalier(6550)

Question 44192: 3x+5
____ = 6+3X
5
Click here to see answer by checkley71(8403)

Question 44374: graph x+2=7
could some help me please thank you
Click here to see answer by adamchapman(301)

Question 44387: write an equation of the line.Express it in standard form.
through (8,3)and(-4,3)
Click here to see answer by fractalier(6550)

Question 44494: I need to find the line passing through (1,42) and (17,314).
Click here to see answer by pvaka(23)

Question 44494: I need to find the line passing through (1,42) and (17,314).
Click here to see answer by venugopalramana(3286)

Question 44501: A business discovers a linear relationship between the number of shirts it can sell and the price per shirt. In particular, 20,000 shirts can be sold at $19 each and 2000 of the same shirts can be sold at $55 each. Write the slope-intercept equation of the demand line through the ordered pairs (20,000 shirts, $19) and (2000 shirts, $55). Then determine the number of shirts that can be sold at $50 each.
Click here to see answer by stanbon(75887)

Question 44583: Complete the ordered pairs so that each is a solution for the given equation.
3x+4y=12 (0, ), ( ,3/4), ( ,0), (5/3, )
Click here to see answer by pvaka(23)

Question 44641: plot x^2+4.y^2-4.x-8.y+4=0
Click here to see answer by adamchapman(301)

Question 44672: Business and Finance. When x number of units are sold, the price of each unit (in dollars) is given by p= -x/2+75. Find the unit price when the following quantities are sold: 2,7,9,11

-x/2 is a fraction.
Please help me.
Click here to see answer by tutorcecilia(2152)

Question 44693: Business and Finance. The cost of producing a number of items x is given by C= mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one or more item).
(a) If the fixed cost is $40.00 and the variable cost is $10, write the cost equation.
(b) Graph the cost equation.
Click here to see answer by fractalier(6550)

Question 44697: Find the constant of variation k
m varies directly with n; m=144 when n=8.

Click here to see answer by stanbon(75887)

Question 44749: Im not sure what topic it would fall under. But here is my questions
the variable x is 4 less than the variable y?
answer I think it is, x - 4 = y
next question
if the variable t is multiplied by 5, the result is equal to the variable r.
answer I think it is, t * 5 = r
next question
if 3 is subtracted from the product of the variables x and y the result is equal to 4 time the variable z
this one I really couldn't understand
next question
the quotient of the variable x with the variable y is 2 more than o.7 of the variable z.
this is another one I don't understand.
If there is a way to explain the answer to me and how you get the answer I would appreciate it.
Click here to see answer by venugopalramana(3286)

Question 44774: my question is a can't seems to find the answer to this problem
0.5(2.6x-4)+ 2.3(1.4x-5)
Click here to see answer by adamchapman(301)

Question 44774: my question is a can't seems to find the answer to this problem
0.5(2.6x-4)+ 2.3(1.4x-5)
Click here to see answer by OHtutor(16)

Question 44798: I could use a little help on this question. I'm not good and this.
The quotient of the variable x with the variable y is 2 more than 0.7 of the variable z.
Click here to see answer by stanbon(75887)

Question 44801: Can you please explain to me about what is a one solution, and no solution infinitive solution mean in a simple way? I am more of visual in number than word explanation. How do you know what they are when you solve the equation? Do you sitll have to process the equation with y=mx+b when you have equation x+2y=10 and 4y-20=2x
How do you solve by graphing? and what is the solution?
Your help is greatly appericated.
Click here to see answer by stanbon(75887)

Question 44824: y= 1/2 x-3. the slope is?
Click here to see answer by stanbon(75887)

Question 44846: Solve the equation by using factoring.
8x^3 - 32 x = 0

Click here to see answer by stanbon(75887)

Question 44847: Use factoring to solve the equation.
6 x 2 + 42 x = 0

Click here to see answer by Nate(3500)

Question 44853: Use the square root property to solve the equation.
x 2 = 64

Click here to see answer by Nate(3500)

Question 44852: Use factoring to solve the equation.
3 z 2 = 30 z - 48

Click here to see answer by Nate(3500)

Question 44851: Use factoring to solve the equation.
x 2 - 7 x + 6 = 0

Click here to see answer by Nate(3500)

Question 44850: Use factoring to solve the equation.
6 y 2 - 150 = 0

Click here to see answer by Nate(3500)

Question 44862: Use the quadratic formula to solve the following equation.
x 2 - 17 x + 72 = 0

Click here to see answer by Nate(3500)

Question 44861: A rectangle is 3 feet longer than it is wide, and its area is 40 square feet. Find its dimensions.

Click here to see answer by checkley71(8403)

Question 44858: Use the square root property to solve the equation.

(x-7)^ = 36

Click here to see answer by checkley71(8403)

Question 44900: Hi,
I could really use some help with this problem:

Find the equation of the line whose x-intercept is 2/3 and whose y-intercept 3/2.

Thanks in advance,
Lou
Click here to see answer by aaaaaaaa(138)

Question 44860: According to the 1998 Guinness Book of World Records stuntman Dan Koko fell a distance of 318 feet into an airbag after jumping from the Vegas World Hotel and Casino. The distance d in feet traveled by a freefalling object in t seconds is given by the formula d = 16t 2. To the nearest tenth of a second, how long did the stuntman's freefall last?
Click here to see answer by josmiceli(19441)

Question 45018: Complete the ordered pairs for the equation 2x + y = 10
(5, ), ( ,10), ( , -2), (0, )
Please help me I have gotten several answers but I do not believe they are right. Thanks alot.
Click here to see answer by adamchapman(301)

Question 45019: Which of the ordered pairs (3,1), (0,-4), (-4,0), (-3,-7) are solutions for the equation x-y=4?
Click here to see answer by adamchapman(301)

Question 44901: Hi again,
I could also use some help with this problem:

Find the equation of the line that passes through the point A(-2, 5/6) with slope -7/6. Express the answer in general form.

Thanks again,
Lou

Click here to see answer by checkley71(8403)

Question 45091: Solve for x: log10 9 = log10 x - log10 3
Click here to see answer by stanbon(75887)

Question 45090: 5
Express as a product: log9√x
Click here to see answer by stanbon(75887)

Question 45105: These are some practice exercise, I was wondering if anyone could explain what they are asking, I don't understand. I would apreciate the help.
3. For each fraction described below, state the relationship of the fraction to the number 1.

(a) The numerator of the fraction is larger than the denominator of the fraction.
Answer:

Show your work:

(b) The denominator of the fraction is larger than the numerator of the fraction.
Answer:

Show your work:

(c) The numerator and the denominator of the fraction have the same value.
Answer:

Show your work:
Thank you
Dee

Click here to see answer by stanbon(75887)

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