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

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Question 290796: In a family there are two cars. In a given week, the first car gets an average of miles per gallon, and the second car gets miles per gallon. The two cars combined drive a total of miles in that week, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week?

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Question 291011: What is the solution to the system of equations
y=10-3x
4x-6y=16
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Question 291008: y=10x+25 and y=5x+40
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Question 291056: 1/2x-y=5
x-y=12 we have to solve algebraically

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Question 291546: How do I solve this system of equations?
y=2x+3
y=-2x+7
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Question 291542: True or False - If two distinct straight lines in the coordinate plane are not parallel, then they intersect in exactly the same point.
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Question 291784: solve and check 2(x-4)+3(x+5)=2x-2
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Question 291903: I purchased a total of 8 music mp3 and movies from iTunes this month. The total purchase price of the movies and music mp3 is $34.92. If I each movie cost 9.99 and each music file cost $0.99, then how many music files and how many movies did I purchase? Please use either the addition (elimination) or substitution method to solve this problem.
Click here to see answer by richwmiller(9144)

Question 291958: The sum of two numbers is -19 and their difference is -5. Write a system of equations and solve it using a graph.
I have one equation as y=-19 + (x-5) and can't come up with the other one.
Click here to see answer by Alan3354(31487)

Question 291872: Kay spends 250 min/week exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?
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Question 292113: how do you simplify linear equations like y=3/2x+2
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Question 292330: how to solve -5(4x+8)=-260
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Question 201104: 2x+4=4
y=-2x+4
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Question 292776: Will the following system be satisfied by the point(-3, 5)?
1/3x +5 = 4
-1/5y - 3x = 10

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Question 292776: Will the following system be satisfied by the point(-3, 5)?
1/3x +5 = 4
-1/5y - 3x = 10

Click here to see answer by richwmiller(9144)

Question 292954: what is y=-2x+4
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Question 292956: y=3x-4
y=8
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Question 293087: y=3x+6
y=3x-2
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Question 293092: I need help solving the system 5X - 2Y = 14
4X + 7Y = -6
Click here to see answer by Deina(147)

Question 293112: How do you solve these problems
2. How do you solve 4x +7y=14
x=41-8y
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Question 293105: Jim can paint a house in 10 hours and Bill can paint the same house in 12 hours.How long will it take if they work together. Thanks!!
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Question 293104: Tom has 117 quarters and dimes worth a total of 15.75. How much of each does he have?? Thanks!!
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Question 293101: I have to create and solve an equation to answer this question. The perimeter of a rectangle is 210m. The length is 7m longer than the width. Determine the dimensions of the rectangle.
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Question 293100: I have a question. I have to create an equation to show how long it would take a submarine to reach a deoth of 428metres if it goes down 50 m every 5 minutes. Thanks!
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Question 293238: Graph the linear equation.
-4x - 36y = -36
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Question 293267: I need to wirte an expression
a person joins a book club and the first six books are free but then each costs 8.98
how much did he pay for eight books
if a bill came through with the shipment of 53.88 how would you create aqnd solve the equation
thanks

Click here to see answer by stanbon(57940)

Question 293405: I need to solve and verify. 1/5(a-1) = 1/3(2a-3) Thanks everyone!
Click here to see answer by Alan3354(31487)

Question 293396: I have to solve and verify this question.
(4a-2)/5 - 1/2 = (3a+7)/2-1
Thanks for your help!!
Click here to see answer by Alan3354(31487)

Question 293525: okai i have a question it said write the slope intercept of the linear equation her it is m=2,b=6
Click here to see answer by jim_thompson5910(28696)

Question 293525: okai i have a question it said write the slope intercept of the linear equation her it is m=2,b=6
Click here to see answer by Alan3354(31487)

Question 293571: Find the missing coordinates of the given points
5x - 7y = 35
(0,),(0,)
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Question 293780: In the problem if there exist solutions of the homogeneous system of linear equations other than x=0, express the general solution as a linear combination of linearly independent column vectors.
x_1 + 2x_2 - x_3 = 0
2x_1 + x_2 + x_3 = 0
x_1 - x_2 + 2x_3 = 0

(x_1 means x subscript of 1)
Click here to see answer by richwmiller(9144)

Question 293845: solve for the indicated letter.
b=4c, for c
The solution is c=_______
Can you help me out please!
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Question 293841: Trains A and B are traveling in the same direction on paralell tracks. Train A is traveling at 60 mph, and Train B is traveling at 70 mph. Train A passes a station at 11:10am , at what time will train B catch up to train A?
WHen will train B catch up to train A?
__:__ am or pm??___
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Question 293849: Solve using the multiplication principle. DOnt forget to preform a check.
-7/8x=-9/10
The solution is x=______
Type an integer or fraction.
Can you help me please. i have come up with 3 diffretn answers
Click here to see answer by richwmiller(9144)

Question 293853: Solve by using the elimination method.
2r-9s=-10
9r+2s=40
What is the solution of the system ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A) the solution is_______(type an ordered pair. use integers or fractions for any numbers in the expression.)
B)There are infinitely number of solutions.
C) There is no solution.
Please help me with this mess!!!!!LOL
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Question 293866: Please help me solve this equation: 2x=-10
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Question 294553: Which equation describes a line that passes through (7,1) and is perpendicular to the line described by y = -1/2x + 3 ? POSSIBLE ANSWERS: A) y = 2x - 13 B) y = 2x - 7 C) y = 2x - 6 D) y = 2x + 3
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Question 294569: Please show me how to solve this set of linear equations in three variables:
3a - 2b + 2c = 1
2a + 5b - 5c = 7
4a - 3b + c = -3
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Question 294718: Find the slope of the line containing each given pair of points. If the slope is undefined, state this.
(0,9) and (-5,0)

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Question 294790: ``solve for the indicated letter.b=4c, for cThe solution is c=_______Can you help me out please!''.
Click here to see answer by rfer(12726)

Question 294787: ``Solve using the multiplication principle. DOnt forget to preform a check.-7/8x=-9/10The solution is x=______Type an integer or fraction. Can you help me please. i have come up with 3 diffretn answers''.
I have come up with 2 answers can you help me please!!!
Click here to see answer by rfer(12726)

Question 294881: Soybean meal is 16% protein and cormeal is 8% protein. How many pounds of each should be mixed together in order to get 320 pound mixture that is 13% protein?
How many pounds of cornemal should be in the mixture??__________
How many pounds of soybean meal should be in the mixture??__________
I am lost. can you please solve this for me!!!!
Click here to see answer by sarah1contreras(1)

Question 294888: 90% of what number is 45?
I cannot solve this. PLease help me!
Click here to see answer by Alan3354(31487)

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