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

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Question 321336: I need some help with Gaussian elimination for equation systems:
x+y-z=3
-x+2y+5z=-17
3x+5y+4z=-22
x= y= z=

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Question 321832: Find an equation of the line with y intercept (0, -4) and slope of 1/3
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Question 321823: what is the property for this equation y = 3x – 6 and y = 2x + 4, so 3x – 6 = 2x + 4?
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Question 321929: Hi, how do you solve the following word problem?
Arielle has a collection of grasshoppers and crickets, She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of each type of insect that she has.

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Question 321997: Solve the system 2x + 3y = 18
4x - 5y = 14

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Question 322098: Explain whether the equation 2x + 7 – 3x = –x + 12 has infinitely many solutions, one
solution, or no solutions.

I need help solving this equation.Please!

Thanks

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Question 322098: Explain whether the equation 2x + 7 – 3x = –x + 12 has infinitely many solutions, one
solution, or no solutions.

I need help solving this equation.Please!

Thanks

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Question 322143: solve the system of the equation by graphing.give only answers.y=2x 6 y=-3-4
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Question 322159: Age in the United States The median age of the U.S.
population for each year t between 1970 and 2010 can be
approximated by the formula
(Source: Bureau of the Census.)
(a) Compute the median ages in 1980 and 2000.
(b) What is the slope of the graph of A? Interpret the
slope?

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Question 322205: y= -2/3x + 4
I have to figure out what x and y are and show my work. I don't know how to do this with fractions.

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Question 322207: y= -3/4x - 10
how do I find the slope and y intercept?

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Question 322298: Solve the following system of linear equations by graphing: -6x+y=20
-4x+y=12

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Question 322404: It costs us $900 dollars a day to make 15 batches of slice pepperoni. This includes labor costs and materials. If we have 3 people working on the line making $15 an hour working an 8 hour shift. What is our bill of Materials cost for 15 batches?
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Question 322469: Hello there. I need help on a problem. It says Use elimination to solve each system of equations.
Heres the question.
x+y= 14
x-y= 20
I did this x-y=14
x+y=20 I just basically got y=6 but it says its the wrong answer and i really dont know how to get the answer. If you know can you please show me step by step so i can better understand Algebra. Iv been taking this course for 2yrs and i failed it. This is my third atempt. Thank you.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 322469: Hello there. I need help on a problem. It says Use elimination to solve each system of equations.
Heres the question.
x+y= 14
x-y= 20
I did this x-y=14
x+y=20 I just basically got y=6 but it says its the wrong answer and i really dont know how to get the answer. If you know can you please show me step by step so i can better understand Algebra. Iv been taking this course for 2yrs and i failed it. This is my third atempt. Thank you.

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

Question 322474: Alright the question is
4x+y=-9
4x+2y=-10
My answer
4x+y=-9
4x+2y=-10
3y= -19 so i divided -19 by 3 and got 6.3 but my answer was wrong. I dont know what i did wrong here.

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

Question 322729: Audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. How
many of the coins are dimes and how many are quarters?
A) 15 dimes and 20 quarters
B) 10 dimes and 22 quarters
C) 20 dimes and 18 quarters
D) 22 dimes and 10 quarters
When applying the Test Point method to a graphed linear inequality, what is the best
option to pursue if the test point you choose fails to satisfy the linear inequality?
A) Report the error to your instructor so that he or she is aware that the inequality has
no solution.
B) Continue to choose test points until you find one that satisfies the inequality.
C) Shade the opposite half-plane.
D) Shade the half-plane containing the point.
Determine which of the ordered pairs (3, 2), (–3, 4), (–1, –5), and (1, –6) satisfy the
compound inequality.
y < –2x and y > x
Write as a single interval if possible: [–15, ∞)∪(–7, ∞)
A) (–15, ∞)
B) [–15, ∞)
C) (–7, ∞)
D) [–15, ∞)∪(–7, ∞)

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Question 322627: why is it that in diff places you do not reciprocate the values that you need to eliminate?for example 1x+2y=3
2x+1y=3 then if youre trying to eliminate y or get it it becomes 1(1x+2y=3)
2(2x+1y=3)then becomes x+2=3
4x+2y=6

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Question 322972: 3[(6-4)+4.3+3(1+6)]
the (.) sybolizes multipication

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Question 323166: Solve the system, using substitution. Write the solution as an ordered pair leaving no spaces, or write no solution or infinitely many solutions; Example: (2,1)
3a - b = 11 and 2a + 3b = 0

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Question 323372: i need help solving this equation!
$130.90= x-0.30x
here is the problem? After a 30% reduction, the sale price of a chair is $130.90, what is the original price?

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Question 323453: Solve the system: 2x + 3y = 18
4x – 5y = 14

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Question 323529: help me solve 7.2(7-x)=3(x+3)
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Question 323528: solve 9-3X=27
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Question 323530: solve 7-5(2-x)=-(x-8)
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Question 323533: solve 3x+31=x-25
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Question 324151: 8x-4y=12 2x-8y=3
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Question 324283: At maximum speed an airplane travels 2,460 miles against the wind in 6 hours. Flying with the wind the plane can travel the same distance in 5 hours. What is the speed of the plane with no wind?
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Question 324320: please help me solve this equation: y-2x=-5

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Question 324384: Hi! I'm trying to solve this using substitution or elimination:
y=x
y=.10x

Thank you

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Question 323383: A farmer has 1200 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 for wheat, and $50 for soybeans. Because of market demand he will grow twice as many acres of wheat as of corn. He has allocated $63,750 for the cost of growing his crops. How many acres of each crop should he plant?
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Question 324718: y = x +7, y= -x +2, determine whether the lines are parallel, perpendicular, neither
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Question 324854: 12x^2+7=10
-------------
4x
Answer it by using STANDARD FORM, thanks!!!

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Question 324985: x + 3y = 8
y= 8

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Question 325252: Solve the following system of equations. Please show your work.
x - y = 16
2x + y = 2

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Question 325285: How can i solve this system of equation by substitution of -3x-3y=3,y=-5x-7?
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Question 325290: pls help me to solve this equation by substitution.
1.-3x+3y=4
-x-2y=11
2.-3x-4y=2
3x+3y=-3
3.-5x-8y=17
2x-7y=-17

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Question 325293: help me pls to solve this system of equation by substitution?
-3x+3y=4,-x+y=3

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Question 325295: help me pls to solve again this equation by substitution?
-3x-4y=2
3x+3y=-3

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Question 325300: i want to ask help from you to please help me solve this system by comparison?
-2x+3y=15,-6x+6y=18

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Question 325589: 5x+(4y)+(11x)+8y
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Question 325542: HELLO,
I AM STRUGGLING WITH LINEAR PROBLEMS. I DON'T KNOW WHICH SIDE I AM TO SUBTRACT. EXAMPLE: 6X-3Y=9 OR X-4Y=8 OR 4Y=9X-7. THANK YOU, I AM TAKING THIS ALGEBRA A SECOND TIME AND I REALLY WANT TO UNDERSTAND AND PASS THE CLASS.

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Question 325696: solve 8x/4=16
4x16=64 of 16 over 1 x 8x/4

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Question 326124: 2x+y=6 x-y=6
2x=6 x-6
1x=

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Question 326145: Is (1, -3) a solution of this system? Please show work..ty
3x-2y=9
4x+y=1

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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