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

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Question 129875: Solve the system of equations using the substitution method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
-7x + y = 4
2x + 8y = 0

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Question 129949: the perimeter of a retangle is 16 meters and its length is 2 meters more than twice its width. what is its length?
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Question 129949: the perimeter of a retangle is 16 meters and its length is 2 meters more than twice its width. what is its length?
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Question 129991: Which one of these is not a linear equation?
a) 6y2 – 3y + 1 = 0 b) 0.07x – 0.09x = 0.57
c) 5t - 11t = -6t d) 7x + 9(x - 2) = -5x

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Question 130002: Please help me solve this equation:found the equation of the line that passes through the pair of points (-1,1),(-4,2)
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Question 130003: Please help me solve this equation:(0,8)m=-3

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Question 130004: Please help me solve this equation: (-4,3),m=3
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Question 130011: Well, I have a test prep to do and chap. 7.1 review and this question stumps me and I can't figure out how to put the equations in an appropriate form so I can graph it. Because like I know I have to put it in the y=mx+b form but the equation will have a fraction slope and I don't get that particular part. So can you please help me.
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Question 130075: When 29500 are divided by and integer n. The quotient is 123 and the remainder is 17. Find n.
Thank you for your help!!

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Question 130054:
Write an equation of the line containing the specified point and parallel to the indicatd line. (-2,-3), 2x+3y=-7
Please do this step by step, becuase I have had 3 people try and explain it to me and I still don't get it.

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Question 129585: I need to know what the 1st and 2nd number in an ordered pair are called.
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Question 129703: I need some help creating this linear equation. Help Please!
By the time and infant boy is one year old, he will weigh approximately two and a half time the amount he weighed at birth. Baby Jim weighed 8.4 pounds when he was born.
Write a linear equation that gives Jim's weight, w, in terms of his age, a, where a is measured in months. (Hint: There are two odered pairs, (a,w), indicated in the opening paragraph).

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Question 130138: Write a system of two linear equations with infinitely many solutions for the following.

A quantity of 13% acid solution is being diluted with some 3% acid solution. The final solution must be 8% acid and contain 90 mL. How much of each solution must be added to accomplish this?

a.) Write a system of equations that describes the situation.
b.) Solve the system.

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Question 130249: If the slope is negative one-fourth (-1/4) and passes through the point (4,4), what's the equation in the form y=mx+b?
If the slope is 4 and the y intercept is (0,12), what's the equation in the form y=mx+b?

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Question 130292: Graph each linear equation

5x-y=-8

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Question 130370: I need to write a system of "two" equations that have:
1. a unique solution
2. an infinate solution
3. no solution

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Question 130376: 4x-y-7=0
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Question 130376: 4x-y-7=0
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Question 130405: Given the line with equation 6x+5y=3 What is the slope of this line?
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Question 130403: how do you find the area of a parallelogram?
how do you find the area of a triangle?

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Question 130423: PLEASE HELP!! Line a is perpendicular to a line thats perpendicular to a line whose equation is 3x-7y=-3. If all lines are in the same plane whats the slope of line a.
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Question 130564: nx+12=3y what is n if the slope is 4
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Question 130680: I need to solve the equation y=3x & x=3y for both x & y. I can not come up with an answer that makes sense.
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Question 130671: GRAPH 4X-Y=3 ON A COORDINATE PLANE
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Question 130780: produce graph for given equation: x/3+y/4=1 determine intercepts
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Question 130906: I am having problems with graphing. Can you help me solve and graph the following problem?
1. Plot the graph of the equations 2x-3y=6 and 2x-y=-10 and interperet the result.

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Question 130963: The question was graph 6x-5y=-30. Well my teacher told me to create a function so I did but I dont know how to solve it my function for my x values were 1 and 2 but Im still confused????
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Question 130965: Bob has $40 to spend on popcorn and pop. The equation 5x + 2y=40 describes the number of popcorns x and small drinks y she can buy. Graph this function and find its intercepts. The graph is set up with numbers 2-20 on each axis.
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Question 130965: Bob has $40 to spend on popcorn and pop. The equation 5x + 2y=40 describes the number of popcorns x and small drinks y she can buy. Graph this function and find its intercepts. The graph is set up with numbers 2-20 on each axis.
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Question 130970: 9x-4x=-36 what is the x and y intercept
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Question 130972: Can you help me solve for x: 4/3 = 8/x
I'm not sure where to begin....

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Question 130972: Can you help me solve for x: 4/3 = 8/x
I'm not sure where to begin....

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Question 131004: Solve the following equation
-8 = 2x/9

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Question 131002: Find f(1) for f(x) = x3 + x2 - 1

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Question 131020: I am having problems with the following:
The solutions of line "a" are (3,3) (5,5)
The solutions of line "b" are (3,-3) (5,-5)
a. Form the equations of both the lines.
b. What are the Co-ordinates of the point of the intersection of lines a and b.
Please use the slope formula and the point slope equation to answer "a"
I think the co-ordiantes is "0". I just can't do the "a" portion. Can somebody help?

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Question 131019: Can you help me with this word problem?
The function f(x) = 2x2 +22x + 320 models the number of inmates in federal and state prisons in the United States [ f (x), in thousands], x years after 1980. Find and interpret f(14).
To start is this right?
4 + 22x + 320 = 22x + 324
-22 -22
x = 312

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Question 131057: I am having problems setting up and solving the following word problem, can you help?
1. An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other art work. Find the actual cost of each artwork.

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Question 131001: Please help me with this problem I have tried three times and I just cant come up with whAT to do.
An administrator of a popular web site is told that a new server can handle 11,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 85,000 hits per second; but every month, the peak demand increases by 3500 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 18 months.

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Question 130999: Please help with the following problems I have tried and I juat can't get the problem.
A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN, and finds that 7 are infected; use proportion to estimate the number of infected PCs if there are a total of 117 PCs connected to the LAN.

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Question 131153: Find the standard form of the equation of the line with slope -2 and y-intercept -4.

Choices are:
8x+4y=-16
y=-2x+4
-8x-16y=4
4x+8y=-16

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Question 131153: Find the standard form of the equation of the line with slope -2 and y-intercept -4.

Choices are:
8x+4y=-16
y=-2x+4
-8x-16y=4
4x+8y=-16

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Question 131183: Plot the graph of the equations 2x - 3y = 6 and 2x + y = -10 and interpret the result
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Question 131227: How to solve this equation?3(4y+2)= 2(1+5y)+8
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Question 131229: How is this equation worked -4(2+n)+9=1
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Question 131231: How is this equation solved 7/8x + 1/4 =3/4x
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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, 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