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

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Question 668325: A bag contains 25-paisa and 50-paise coins whose total value is rs.30.If the number of 25-paisa coins is four times that of 50-paisa coins.Find the number of each type of coins.
Click here to see answer by mananth(16946) About Me 

Question 668441: Hello my name is Sarah I was here yesterday and you guys did me a big favor!! but now all I have is 5 more problems. {y=5x 6x-2y=-4 {4x-y=5 x=8-2y {-7x+y=32 2x+3y=27 {2x+y=5 4x-3y=-10 {4x+2y=7 x-5y=10 can i have it y tonight? thanks (:
Click here to see answer by ewatrrr(24785) About Me 
Question 668441: Hello my name is Sarah I was here yesterday and you guys did me a big favor!! but now all I have is 5 more problems. {y=5x 6x-2y=-4 {4x-y=5 x=8-2y {-7x+y=32 2x+3y=27 {2x+y=5 4x-3y=-10 {4x+2y=7 x-5y=10 can i have it y tonight? thanks (:
Click here to see answer by lynnlo(4176) About Me 

Question 668524: Please help, this one stumps me. Thank you to anyone willing to give it a shot.
One apple has 100 calories and 24 grams of carbohydrates. One avocado has 350 calories and 14 grams of carbohydrates. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?

Click here to see answer by Alan3354(69443) About Me 
Question 668524: Please help, this one stumps me. Thank you to anyone willing to give it a shot.
One apple has 100 calories and 24 grams of carbohydrates. One avocado has 350 calories and 14 grams of carbohydrates. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?

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

Question 668540: Please help:
Find the measure of each angle: Isosceles Triangle:
Angle A: 4x + 2y
Angle B: 9y - 2
Angle C: 10x + 10
Angles B and C have the same measurement.

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Question 667850: Find the area of the rectangle with l = 7/8 m and w = 3 m.
7 3/4 m^2
15 1/2 m^2
3 7/8 m^2
2 5/8 m^2

Click here to see answer by ReadingBoosters(3246) About Me 

Question 668314: How do You solve this problem? The subject is: Solving System of Equations in Three Variables.
4a-2b+8c=30
a+2b-7c=-12
2a-b+4c=15

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Question 668204: If Ben gives Abe four dollars, Abe will have three times as many dollars as Ben. If Abe gives Ben four dollars, they will have the same amount. How many dollars does each have?
Write a linear system of two equations.
Solve the system by addition or substitution.

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Question 668696: which answers are solutions to 4x-8>-2?
choices;
a)0
b)1 1/2
c)2

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Question 668697: x+3y=11
3-y+2z=1
-2x=-4

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Question 668715: after selling a total of 427 adult and student tickets the cashier at a theater had receipts of $3263.50 if adult tickets sells for $8.50 and student tickets for 6.50 how many of each type of ticket were sold?

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Question 669054: The lenght of the garden is 10 feet more than 3 times the width. The job requires 60 feet of fencing to complete. Find the dimensions of the garden.
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Question 669124: The expensive ones cost $7 each, whereas the worthless ones sold for only $2 each. You spent $111 and bought three more expensive ones than worthless ones. How many did you buy.
I know it is a system of equations: 7Ne + 2Nw = 111 is the first equation, don't know what the second equation is?

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Question 668002: solve by graphing 3x+y=6 and 2x-3y=15
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Question 669150: Which of the following statements is true about the given system of linear equations?
–x + y = 4
3x + y = 32
1.The system has a unique solution.
2.The system has infinitely many solutions.

3.The system has no solution.
4.The system has two solutions.

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Question 669186: multiply by the method (y-8)^3
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Question 669292: 2-7x=-47
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Question 669358: i can not for the love of myself figure out how to solve the system equations by graphing.
3x+y=7
x+2y=4

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Question 669380: what is the method to solve 2x-y=8 and 7x-3y=28 the system of linear equation
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Question 669552: x+6y=24
-6+5y=-21

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Question 669557: The tens digit of a two-digit number is 3 more than 5 times the units digit. If the digits are reversed, the new number is 2 more than twice the tens digit of the original number. Find the original number.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 669907: A tugboat goes 100 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current.
The speed of the tugboat is__mph, and the speed of the current is__mph.

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Question 669971: If a line passes through the points (2.5,2.5) and (4.5,6.5), the equation of the line is y - 6.5 = 2(x - ___).
Click here to see answer by ewatrrr(24785) About Me 

Question 670813: x-3y = 12
2y -3z = -9
2x +z = 7
solve for all three variables

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Question 670860: You are making a large triangular pennant for your school football team. The vertices of the triangle are (0,0), (0,50), and (70,20) where the coordinates are measured in inches. How many square feet of material will you need to make the pennant?
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Question 670879: I'm not sure if I'm in the right place but here it goes. I can't seem to figure out this problem. You have to solve for 3 variable and you're given 3 equations, but I can't solve it. The problem is:
x + y + z = 0
2x + 3y + 2z = -1
x - y + z = 2

Click here to see answer by Alan3354(69443) About Me 
Question 670879: I'm not sure if I'm in the right place but here it goes. I can't seem to figure out this problem. You have to solve for 3 variable and you're given 3 equations, but I can't solve it. The problem is:
x + y + z = 0
2x + 3y + 2z = -1
x - y + z = 2

Click here to see answer by lynnlo(4176) About Me 
Question 670879: I'm not sure if I'm in the right place but here it goes. I can't seem to figure out this problem. You have to solve for 3 variable and you're given 3 equations, but I can't solve it. The problem is:
x + y + z = 0
2x + 3y + 2z = -1
x - y + z = 2

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Question 670913: Write the equation -x - y = 2 in slope-intercept form. Do not graph
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Question 670912: Solve for y. -4(24 + 8y) = -64
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Question 670912: Solve for y. -4(24 + 8y) = -64
Click here to see answer by Alan3354(69443) About Me 

Question 671621: Find two numbers whose sum is 114 and difference is 58?
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Question 672041: Solve the following equation for y.
11x+3y=13

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Question 672113: what is the ordered pair for the equation y=8x-4, x=4

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Question 672262: is the following system classified as dependent, independent or inconsistent
-4x-2y=-4, 3x-y=13

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Question 672268: solve the system by graphing
2x+y=4
x+y=3

Click here to see answer by ewatrrr(24785) About Me 

Question 672265: the sum of two number is 18 and their difference is 8.
solve the system
x+y=18
x-y=8

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Question 672266: sovle the substitution
5x-y=-6
x=-2+y

Click here to see answer by lynnlo(4176) About Me 

Question 672213: The problem states, "Solve the system of equations using substitution method".
This is what I did so far...
x=3y -- equation 1
9x - 3y=12 -- equation 2
Step 1: Substitute x in equation 2 and solve
9x - 3y=12; x=3y
9(3y) - 3y=12
27y - 3y=12
24y=12
24y/24=12/24
y=1/2
Step 2: Substitute y in equation 1 and solve
x=3y
x=3/1(1/2)
x=3/2
Now, according to the answer key in my textbook, it states that there is no solution and that the lines are parallel. As you can see above, I somehow came up with a solution of (3/2, 1/2). Substituting (3/2, 1/2) into the original equations made them true (equal), not false (unequal). Please tell me where I went wrong with this problem.

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

Question 672375: linear equation by substitution method
a-b=4
b=2-5a
I need the steps to understand not just the answer thanks for your help

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Question 672295: How do you solve systems of linear equations using matrices?
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Question 672717: 1) Use the method of substitution to solve the system of linear equations
3x-y=5
7x-2y=15
2) use the method of substitution to solve lineear equations
3a=2-b
3a=7-b
3)Solve the system of linear equations
3x-y=0
2x-y=1

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

Question 672870: -1x + 2 = -4/5x + 8/5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 673063: What would be the answer to: 3[r-7] + 8 -6r=
If possible please show step by step.
Thank You.

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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