Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 335139: Let X be the driving time (in hours) since a person has fueled up his car, and let Y be the number of gallons of gas in the car's gas tank. Assume that the equation y=-3X+18 describes the relationship between X and Y.
Question: What does the variable y represent? what is the unit of y?
Write the equation that describes the relation between the variables.
Find the X-intercept and the Y-intercept. Show the algebra.

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Question 335151: solve ethe linear system by using substitution:
6x-y=-35
5x-2y=-35

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Question 335237: Please assist me in solving this system by the substitution method as well as determining whether the equations are independent, dependent, or inconsistent.
Thank you.

x + 3y = 2
-x +y = 1

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Question 335251: Please assist me in solving this system by the addition method.
Thank you.

x - 2y = -1
-x + 5y = 4

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Question 335254: Please assist me in solving this system by the addition method.
Thank you.

3x + 5y = -11
x - 2y = 11

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Question 335242: Please assist me in solving this system by the addition method.
Thank you.

x + y = 7
x - y = 9

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Question 335435: (u+6)^2-48=0
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Question 335431: solve each system by graphing check your answer
(y=1/2x+2
(y=-x-1

i have tried this problem and got a point in between -1,-2 and -1,-1 but i really doubt its right because the other 3 problems i tried like this i checked with calculator and were wrong please help me!

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Question 335521: Can you help solving the following using either the substution method or the elimination method? 2(x-y)=3+x,x=3y+4
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Question 335395: At the north campus of a small liberal arts college, 10% of the students are women. At the south campus, 50% of the students are women. The campuses are merged into one east campus. If 40% of the 1200 students at the east campus are women, how many students did the north and south campuses have before the merge?
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Question 335547: y=-x
y-x=-3

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Question 335371: A certain college offers students two monthly options for local telephone service.
Option A: Unlimited number of local calls for $20.00 per month.
Option B: Basic charge of $15.00 per month plus $0.10 charge for each local call.
What is the least number of local calls in a month for which option A is less expensive than option B?
(A) 5 (B) 15 (C) 49 (D) 50 (E) 51

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Question 335624: 9x+7y=56
x=7

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Question 335627: Solve the below system of linear equations
7x+6y=-48
x-3y=-3

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Question 335627: Solve the below system of linear equations
7x+6y=-48
x-3y=-3

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Question 335626: 8x-7y=21
8x-7y=-7

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Question 335640: Please help me understand how to solve these equations by the addition method.
Many thanks.

2x = 2-y
3x + y = -1

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Question 335640: Please help me understand how to solve these equations by the addition method.
Many thanks.

2x = 2-y
3x + y = -1

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Question 335640: Please help me understand how to solve these equations by the addition method.
Many thanks.

2x = 2-y
3x + y = -1

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Question 335713: Haven't taken Algebra in 20 years and I am struggling already in my first week. Could someone explain this problem to me step by step so I might get it:
Use substitution method to solve:
2x+7y=48 (1)
x= 28-4y (2)
This is what I think:
If I know that X= 28-4y do I plug that into the 1st equation? 2(28-4y) + 7y =48 ??

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Question 335645: Please help me solve these equations by the addition method.
Thank you.

3x - 2.5y = 7.125
2.5x - 3y = 7.3125

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Question 335642: Please help me understand how to solve these equations by the addition method.
Many thanks.

x -y = 3
-6x + 6y = 17

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Question 335759: I'm looking for some needed assistance to help solve this equation by the addition method. Can anyone help? Thank you.
3x -2.5y = 7.125
2.5x - 3y = 7.3125

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Question 335898: Cowling’s rule. Cowling’s rule is another method for
determining the dosage of a drug to prescribe to a child.
For this rule, the formula
d=D(a+1) divided by 24
gives the child’s dosage d, where D is the adult dosage
and a is the age of the child in years. If the adult dosage
of a drug is 600 milligrams and a doctor uses this
formula to determine that a child’s dosage is
200 milligrams, then how old is the child?

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Question 336180: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber?

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Question 336264: I am looking for the process of converting m/s to mi/h, as in the speed of sound.
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Question 336334: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the marshall to catch up to the robber?

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Question 336390: Please help me graph each inequality in two variables. Thank you.

y< 2x + 2

2x < 3y + 6

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Question 336507: True or False?
If the intersection of two closed intervals is nonempty, then their intersection is a closed interval.

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Question 336671: Solve each system of linear equation by an method.
3x + 4y = 1
2x + 3y = 1
Please help !

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Question 335899: 1/2x -2 = 1/3(x-2)
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Question 336771: 5x-y+z=4=x+2y-z=5=2x+3y-3z=5
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Question 336770: Solve each system by substitution.
x-y+2z=7=2x+y+z=8=x-z=5

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Question 336929: whats 41-2n=2+n
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Question 336920: (4w-28)+(11w+13)=180 and may you please show the work
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Question 337178: I've been trying to simplify the following expression and keep missing a step while doing so. Can you please assist me? Thank you!

1/2(3x + 2)- 1/4(3x - 2)=
[{{(1/2)*3x} + {(1/2)*(2/1)}} + {-1{{(1/4)*3x}-{(1/4)*2}}}]=
[{(3x/2)+(2/2)} + {-1{(3x/4)-(2/4)}}]=
[{(3x/2+1)} + {-1*(3x/4)}-{(-1)*(1/2)}}]=
[(3x/2+1)} + {{(-1)*(3x/4)}-{(-1)*(1/2)}]=
[{3x/2 + 1} + {-3x/4 + 1/2}]=
[{3x/2 + 1} + {-3x/4 +1/2}]=
[3x/2 +1 -3x/4 +1/2]=
3x/2 -3x/4 + 1+ (1/2)=
2/2*3x/2 - 3x/4 +1 1/2 =
(6x/4-3x/4) + 1.5 =
3x/4 +1.5
or 3/4x + 1.5

Click here to see answer by stanbon(75887) About Me 
Question 337178: I've been trying to simplify the following expression and keep missing a step while doing so. Can you please assist me? Thank you!

1/2(3x + 2)- 1/4(3x - 2)=
[{{(1/2)*3x} + {(1/2)*(2/1)}} + {-1{{(1/4)*3x}-{(1/4)*2}}}]=
[{(3x/2)+(2/2)} + {-1{(3x/4)-(2/4)}}]=
[{(3x/2+1)} + {-1*(3x/4)}-{(-1)*(1/2)}}]=
[(3x/2+1)} + {{(-1)*(3x/4)}-{(-1)*(1/2)}]=
[{3x/2 + 1} + {-3x/4 + 1/2}]=
[{3x/2 + 1} + {-3x/4 +1/2}]=
[3x/2 +1 -3x/4 +1/2]=
3x/2 -3x/4 + 1+ (1/2)=
2/2*3x/2 - 3x/4 +1 1/2 =
(6x/4-3x/4) + 1.5 =
3x/4 +1.5
or 3/4x + 1.5

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Question 337180: Please help me with trying to solve this equation. I'm missing a solution step in solving for x. Thank you!

x + 0.06x = 742

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Question 337180: Please help me with trying to solve this equation. I'm missing a solution step in solving for x. Thank you!

x + 0.06x = 742

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Question 337183: if the linear equation is 2b=18 do i just need to solve for b?
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Question 337457: Your astute algebra knowledge and assistance is needed to help me solve this problem. Please help. Thank you.

2a(4a-5)- 3a(-2a-5)
8A^2 – 10A +6A^2+15A
14A^2+5A

2a(4a-5)- 3a(-2a-5)

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Question 337561: After robbing a bank in Dodge City, a robber gallops off at 13 mi/h. 30 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the marshall to catch up to the robber?
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Question 337519: How do you solve this question. 1/8-3/4x=1/16
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Question 337566: Simplify the algebraic expression
2(4y-2)-(3y+4)
2(4y-2)-(3y+4)
8Y-4-3Y-4
5Y-8

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Question 337624: Solve by elimination 8x + 7y = -16 6x - 3y = -12
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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