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

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Question 129781: A man travels regularly between two cities . He takes 14/3hours , if he travels at his usual speed . He finds that if he increases his speed by 3km/h , he can reduce the time by 1/3 hour . What is his usual speed ?
Pls help

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Question 129781: A man travels regularly between two cities . He takes 14/3hours , if he travels at his usual speed . He finds that if he increases his speed by 3km/h , he can reduce the time by 1/3 hour . What is his usual speed ?
Pls help

Click here to see answer by josmiceli(19441) About Me 
Question 129781: A man travels regularly between two cities . He takes 14/3hours , if he travels at his usual speed . He finds that if he increases his speed by 3km/h , he can reduce the time by 1/3 hour . What is his usual speed ?
Pls help

Click here to see answer by test101(1) About Me 

Question 129858: I need help with this problem
x+y=7
x-y=9
Please help

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Question 129862: A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns?
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Question 129861: A student walks and jogs to college each day. She averages 5 km/h walking and 9 km/h jogging. The distance from home to college is 8 km, and she makes the trip in 1 hr. How far does the student jog?
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Question 129891: The problem states to solve the system of equations by graphing.

x + y = 4 x + y = -4
I came up with this problem as having no solution. Am I correct?

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Question 129890:

y+1=3x 5x+9=3y

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Question 129889: Solve the system of equations by graphing.


-3x = 5 - y 2y = 6x + 10
I had x = -1 and y = 2, but I don't know if that's right. Any help would be appreciated.

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Question 130042: solve the system. Assume that a and b represent nonzero constants.
ax+by=6
ax-3by=4
The x value of the solution is:

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Question 130068: An antique dealer found a 14K gold statue at an auction. In order to maximize profits from this statue, it was melted down with cheap 6K gold trinkets to produce 8K gold replica. If the replica has a mass of 3.2Kg, what were the masses of the statue and the trinkets used?
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Question 130040:
solve the following system of equations by the substitution method:
4x=3y+30 3y-5x=-33
after substituting, find the remaining equation and the y coordinate of the solution.

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Question 130110: Where do I begin with this equation?
The value of a home bought in 1990 appreciates, or increases as time passes. Seven years after it was bought, the house was worth $165,000. Twelve years after the purchase of the house, the house was worth $180,000.

a. If the relationshi is LINEAR, write an equation that describes this relationship.(HINT: Start by writing two ordered pairs!)

b. Estimate the value of the house in the year 2005, which is 15 years after the purchase of the home.

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Question 130179: a+5=7
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Question 130247: srry lost my other account password the ones next to each other are all one problem

x=y+1 x+2y=7

3x-y=2 y=2x-9





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Question 130037: concert tickets: tickets for a concert cost $5, $3, and $2. twice as many $5 tickets were sold as $2 tickets. the recipts for 750 tickets were $2625. haw many of each price ticket were sold? [i have no clue how ti set this up]
Click here to see answer by scott8148(6628) About Me 

Question 130267: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
I know that the answer is 34, and I know that one of the equations is x+y=7, but I do not know the other part to the system of equations. Thanks for helping me!!!

Click here to see answer by ilana(307) About Me 

Question 130320: i am absolutly confused on this question ive tried several different angles:
5x+2y+z=-11
2x-3y-z= 17
7x+y2+z= -4

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Question 130266: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
I know that the answer is 34, and I know that one of the equations is x+y=7, but I do not know the other part to the system of equations. Thanks for helping me!!!

Click here to see answer by solver91311(24713) About Me 

Question 130331: My study question asks....Solve the following systems of equation by any method.
All I am asking for is the name of a method so I can look up the order or way to solve it.
3x-2y=12
and
2x+y=8
Thanks!

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Question 130788: How do you determine consistency from using the elimination method?
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Question 130860: Please help me solve this equation: 1.8x-0.3y=14.4 and x-0.6y=2.8

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Question 130973: How do I solve for the absolute value inequality:
x > 6

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Question 130899: To make ends meet, Ms. Farnsby works three jobs. Her total income last year was $48,000. Her income from teaching was just $6,000 more than her income from house painting. Royalties from her text book sales were one-seventh of the total money she recieved from teaching and house painting. HOw much did she make from each source last year?
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Question 130982: find the equation of the line containing a given pair of points.
(-2,-7)(-9,-5)
the equation of the line is y= ???

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Question 131010: 2x-3y=-6
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Question 131039: Solve the system of equations by the substitution method.
y=6x+8
y=9x+10

The solution is:
(Type an ordered pair. Type integers or simplified fractions. Type N if there is no solution. Type I if there are infinitely many solutions.)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 131038: Solve the system of equations by the substitution method.
5x+15y=10

2x+8y=6
The solution is:
(Type an ordered pair. Type integers or simplified fractions. Type N if there is no solution. Type I if there are infinitely many solutions.)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130898: Salvador's fruit Mart sells variety packs. The small pack contains three babanas, two apples., and one orange for $ 1.80. The medium pack contains four babanas, three apples, and three oranges for $ 3. 05. The family size contains six bananas, five apples, and four oranges for $4.65. What price should Salvador charge for his lunch-box special that consists of one banana, one apple, and one orange?
Click here to see answer by fners(16) About Me 

Question 130896: HELP! Ana, Bob, and Chris will not disclose their weights but agree to be weighed in pairs Anna and Bob together weigh 226 pounds. Bob and Chris together weigh 210 pounds. Anna and Chris together weigh 200 pounds. How much does each student weigh?
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Question 131370: If y - x = -3 and 4x + y = 2, then what does x equal?
Click here to see answer by TakeATuition.com(57) About Me 

Question 131556: Solving Linear Systems:
Use substitution to solve the linear system. Then check your solution.
x - 2y = 9
1.5x + 0.5y = 6.5


I understand how to solve the first equation, but I don't understand how to substitute the x answer into the second equation to be able to find the value of y.

Click here to see answer by solver91311(24713) About Me 

Question 131557: Solving Linear Equations:
You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2,876. How many of each type of ticket did you sell.


First I said x = student tickets and y = general admission tickets, but then I got lost.

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Question 131643: i need a definition of slope and the only thing that the webs tell me is how to do it, and i need a definition
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Question 131815: Solving Linear Equations:
Use linear combinations to solve the system of linear equations.

t + r = 1
2r - t = 2

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Question 131837: Factor completely:
x^3 – 2x^2 + 6x – 12
. Factor completely:
x^2 + 17x + 16
Factor completely:
8x^2 + 6x – 5

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Question 131837: Factor completely:
x^3 – 2x^2 + 6x – 12
. Factor completely:
x^2 + 17x + 16
Factor completely:
8x^2 + 6x – 5

Click here to see answer by edjones(8007) About Me 

Question 131817: Arranging Like Terms:
Use linear combinations to solve the system of linear equations.

3b + 2c = 46
5c + b = 11

Do I need to put the bottom equation into slope intercept form, y = mx + b?

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Question 131812: how could i solve this linear equation using a combination method
4x-3y=11
3x+2y=-13

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Question 131874: Factor the trinomial. Factor out any common monomials first (including -1 if necessary).
-3y^2 + 33y -84
Factor the polynomial.
4,176^2 -29
Factor the polynomial.
9x^2 - 117x +270

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Question 131808: Solving Linear Systems:
Use linear combinations to solve the system of linear equations.

3a + 9b = 8b - a
5a - 10b = 4a - 9b + 5

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Question 132010: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worh either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?
Click here to see answer by josmiceli(19441) About Me 
Question 132010: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worh either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?
Click here to see answer by stanbon(75887) About Me 

Question 132032: Comparing Methods:
Solve the linear system using all three methods on page 418.

3x - y = 3
-x + y = 3

I have the answer (3,6)
But I don't understand how to graph it.
Which is the first method to use, graphing.

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Question 132034: Choosing A Method:
Solve the linear system.

8x + 9y = 42
6x - y = 16

I can get my first equation to equal 42 with the coordinates (2/5/23,2/16/23) and (1/20/31,3/19/93)
But I can't get either of those coordinates to fit in the bottom equation.

Click here to see answer by bucky(2189) About Me 

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