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

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Question 949367: Solve the system of equations by elimination. The answer needs to be in the ordered pair of (x,y,z) form.
x + y + z = 6
x + 2y - z = 1
3x - 3y - z = -32


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Question 949473: What is the solution of this system of equations?
-6y=-50-4x
5x-6y=-49

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Question 949660: Solve and check
-×=15
My answer
-1/15=-15
Check
-15(-1)=15
Am i correct

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Question 950131: Find the solution using the elimination method
3x-y=8
x-1/3y=2

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Question 950221: A math test is worth 100 points and has 30 problems. Each problem is worth either 3 points or 4 points. How many 4-point problems are there?
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Question 950311: Simplify the expression.

(p^3q^-1)/(q^2r^-6)

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Question 950307: Suppose you are a math teacher and you have just taught a lesson on exponents. A student asks you to review some worked problems. Look over the problems and correct any mistakes. Explain the errors in the student's reasoning.


(4a^2b^5)/(2a^6b^2) = 4/2 * a^2/a^6 * b^5/b^2 = 2 * a^4 * b^3 = 2a^4b^3

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Question 950366:
Simplify the expression.

(9t^2s^4)/(-3t^2s^3)

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Question 950397: how do I go about solving these linear equations using substitution
4x-y=5
4x+4y=-4
I know I have to add to both sides of the first one but I do not remember which sides or where to go from there.

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Question 950397: how do I go about solving these linear equations using substitution
4x-y=5
4x+4y=-4
I know I have to add to both sides of the first one but I do not remember which sides or where to go from there.

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Question 950476: Consider the Following linear equation
15y=13y
solve the above linear equation, simplify your answer. Enter your solution as in integer, a simplified fraction or a decimal rounded to two decimal places.

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Question 950530: Given the system x-y=3 , 4x-4y=N
Find the value of n that the linear system will have infinitely many solutions.

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Question 950578: Use substitution to solve the following linear system.
X+1/2y=7
3x+2y=18

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Question 950596: Solve for ordered pair
2x + y = 10
3x - 1/2y = 11

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Question 950595: Solve for ordered pair
2x + 2y = 10
3x - 1/2y = 11

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Question 950480: -17<-3x+1<13
solve the linear inequality above for given variable. Simplify your solutions and use algebraic notation to enter it in the box below

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Question 950308:
Simplify the expression.

(9t^2s^4)/(-3t^2s^3)

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Question 950747: how many solutions are in an equation and how do u tell?
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Question 950885: The sum of two integers is 19 and their difference is 11. What is the smaller of the two integers?

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Question 950885: The sum of two integers is 19 and their difference is 11. What is the smaller of the two integers?

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Question 951098: To solve 493x = 3432x+1, write each side of the equation in terms of base
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Question 951187: What is the solution to 2x=8 and x=6+y using substitution
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Question 951336: find the equation with slope -4/3 and x-intercept 5
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Question 951395: Car X weighs 137 pounds more than Z. Car Y weighs 119 pounds more than car Z. The total weight of all three cars is 9772 pounds.How much does each car weigh?
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Question 951610: How to solve linear equations using any method.
FOr this one I tried using the substitution method, but i always get stuck.
2x-5y=3
x-2y=7 I know i have to get one variable by itself and i can pick which one. WHere I am getting stuck is once I get Y =8 for the first one, when I still have X to deal with, from there on, I do not know what to do.

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Question 951633: I need to solve this system of linear equations using any method. I tried using the elimination method but i got stuck.
8x-6y=12
12x-9y=18 I started off by adding the 8x and 12x and got 10x. then i added -6 and -9 and got -15. 12+18 and got 30. from there i was starting to feel iffy about the rest. if all this is right how do i go about finishing the problem off?

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Question 951633: I need to solve this system of linear equations using any method. I tried using the elimination method but i got stuck.
8x-6y=12
12x-9y=18 I started off by adding the 8x and 12x and got 10x. then i added -6 and -9 and got -15. 12+18 and got 30. from there i was starting to feel iffy about the rest. if all this is right how do i go about finishing the problem off?

Click here to see answer by MathLover1(20850) About Me 

Question 951943: A rectangle has a perimeter of 86 and an area of 252. Its length is 8 more than 4 times its width. Write and solve a system of equations to find the dimensions of the rectangle.
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Question 951997: i need help soving each system of linear equations bysubstitution
-4x+y=6
-5x-y=21

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Question 951997: i need help soving each system of linear equations bysubstitution
-4x+y=6
-5x-y=21

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Question 951997: i need help soving each system of linear equations bysubstitution
-4x+y=6
-5x-y=21

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Question 952013: Determine whether the linear system has one solution, no solution, of infinitely many solutions.
3x + y = 12
y = 3x + 12

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Question 952031: -7m-2p=-13
m-2p=11

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Question 952021: 18x+4=14y
21y-5x=-22
solve using elimination or substitution method

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Question 952041: I do not understand
Does this system have one solution, infinitely, or no solutions?
y=2x+5
y-4x=-2
y=4x--2
2x+5=4x-2

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Question 952078: How do you graph:y=225-70x

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Question 952079: How do you graph:y=200-60x
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Question 952331: The number of rabbit is 6 more than the chickens and the number combined legs is 54. What are the number of rabbits and chickens?
I've tried to come up with the equations and this is all i have gotten
6x + y = 54
Im not sure how to set up the next problem to help me solve this
Could someone please help me out?

Click here to see answer by josgarithmetic(39617) About Me 
Question 952331: The number of rabbit is 6 more than the chickens and the number combined legs is 54. What are the number of rabbits and chickens?
I've tried to come up with the equations and this is all i have gotten
6x + y = 54
Im not sure how to set up the next problem to help me solve this
Could someone please help me out?

Click here to see answer by MathTherapy(10552) About Me 

Question 952417: Solve by the elimination method
-4x-5y=2
12x+20y=-9
and
5x-y=24
x+4y=9

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Question 952455: 12x+6y=120
4x+y=30

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Question 952742: Simplify the expression. Make sure to show/explain all your work. Write your answer in standard form.

2x(7x - 3) - 4x

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Question 952745: Y=2x+1
X+y=7 this is a substitution i gotta find the x and y

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Question 952746: Simplify the expression. Make sure to show/explain your work. Write your answer in standard form.

(2x^2 - 3)(8x^2 + x)

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Question 952925: How would I slove the equation -1/2x-5y=5 using cramer's rule?
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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