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

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Question 147346: Hi I need help with this word problem. I can not get what the 3rd equation should be. Here is the problem: Adult tickets to a movie theater cost $7.25 for adults, $6.25 for senior citizens and $5.00 for children. Over the weekend the theater sold 355 tickets and had a revenue of $2133.75. It is known there were twice as many children's tickets sold as there were senior citizen tickets sold. How many of each ticket were sold?
This is as far as I could get.
Adult Senior citizens Children
x + Y + Z = 355
7.25x + 6.25y + 5.00Z = 2133.75

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 147355: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.

Click here to see answer by vleith(2983) About Me 
Question 147355: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.

Click here to see answer by checkley77(12844) About Me 

Question 147364: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.

Click here to see answer by stanbon(75887) About Me 

Question 147492: y=x+1
8x-4y=0

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

Question 147481: 4x+5y=5
8x+10y=10
I need to solve this using elimination
* I know I need to solve for x and use that answer in the next equation, but not sure what one I have to start with. Your help is appreciated.

Click here to see answer by Alan3354(69443) About Me 

Question 147689: solve using elimination method and check
15x+3y=-12
2x+y=8


Click here to see answer by mangopeeler07(462) About Me 
Question 147689: solve using elimination method and check
15x+3y=-12
2x+y=8


Click here to see answer by GKelly(4) About Me 

Question 147692: solve using elimination method and check
4x+y=1
x-2y=-2

Click here to see answer by mangopeeler07(462) About Me 

Question 147698: hi, i need to solve this using elimination method and check.
4x+y=1
x-2y=-2

Click here to see answer by jim_thompson5910(35256) About Me 
Question 147698: hi, i need to solve this using elimination method and check.
4x+y=1
x-2y=-2

Click here to see answer by GKelly(4) About Me 

Question 147695: hi, i need to solve this using elimination method and check
15x+3y=-12
2x+y=8

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

Question 147702: hi, i need exact step by ste solution using elimination method and check.
15x+3y=-12
2x+y=8

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

Question 147704: hi, i need exactly step by step solution using elimination method and check.thank u.
4x+y=1
x-2y=-2

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Question 147794: The solution to the system of equations:
x + 3y = 12
4x - y = -17

Click here to see answer by Fombitz(32388) About Me 

Question 147956: The perimter of a rectangle is 156m. The length is 3m more than twice the width. Find the dimensions.
What is the length ??m
What is the width ??m
Thanks!

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

Question 147953: Solve by the elimination method.
x+6y=45
-x+4y=15
What is the solution of the system?

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

Question 147955: The perimter of a rectangle is 66 inches. The length exceeds the width by 27 inches. Find the length and width.
The length is ?? inches
The width is ?? inches
Please HELP.

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

Question 148094: i need step by step solution using elimination
x+y=-12
x-y=-4

Click here to see answer by jim_thompson5910(35256) About Me 
Question 148094: i need step by step solution using elimination
x+y=-12
x-y=-4

Click here to see answer by mangopeeler07(462) About Me 

Question 148095: i need step by step solution using elimination method
x-2y-8
x+2y-0

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

Question 148096: i need step by step solution using elimination method,thank u
3x+4y=-15
3x+6y=-21

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

Question 148123: I am trying to solve the following system of linear equation.
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
Now i am familiar with the methods of solving these types of problems, such as addition method and substitution method, but when it comes to fractions, I'm lost.
When you solve, would it be possible to explain each step.
Thanks for all your help.

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

Question 148128: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 MPH along the route from Albuquerque to Roswell and averaged 70 MPH from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell?
I started by making a table
DISTANCE RATE TIME
270 75 3hrs
270 70 3hrs
but the problems that I was coming up with did not make sense to me. Am I going about thie correctly?

Click here to see answer by vleith(2983) About Me 
Question 148128: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 MPH along the route from Albuquerque to Roswell and averaged 70 MPH from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell?
I started by making a table
DISTANCE RATE TIME
270 75 3hrs
270 70 3hrs
but the problems that I was coming up with did not make sense to me. Am I going about thie correctly?

Click here to see answer by checkley77(12844) About Me 

Question 148169: hi, i need exactly step by step solution using elimination and check,thank u
3y=7-2x
5y=7y-3

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 148184: Find the missing values that solve this equation.
2x+y = 6
(2,____) (0,____) (1,____)
I need the missing points and steps :)

Click here to see answer by mangopeeler07(462) About Me 

Question 148182: I need the steps and the missing points
Thanks :)

Find the missing values that solve this equation.
y = 3x

(0, ____) (-1,____) (7,____)

Click here to see answer by mangopeeler07(462) About Me 

Question 148183: Find the missing values that solve this equation.
y = 5 -4x
(5, ____) (1, ____) (-1, ____)

I need the missing points and the steps :)

Click here to see answer by mangopeeler07(462) About Me 

Question 148197: Write an equation of a line with a slope of 2/3 and y-intercept of 7. Write the equation in both slope intercept form and standard form.
Click here to see answer by mangopeeler07(462) About Me 

Question 148200: You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.
The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why?

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

Question 148199: Write the equation of a line whose slope is 6 and whose y intercept is -3.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 148199: Write the equation of a line whose slope is 6 and whose y intercept is -3.
Click here to see answer by mangopeeler07(462) About Me 

Question 148243: Solve the system of equation:
3x+2y=11
2x-2y=4
Solve the system:
2x-y+2z=11
3x-2y-z=12
x-3y-z=1

Click here to see answer by mangopeeler07(462) About Me 

Question 148162: hi, i need exactly step by step solution using elimination and substitution method and check.thank u
3y=7-2x
5y=7y-3

Click here to see answer by Alan3354(69443) About Me 

Question 142066: do I multiply entire equation by lcd even though it is only a subtraction question?
Click here to see answer by Alan3354(69443) About Me 

Question 148273: Could you please help me with this problem. I am supposed to use a system of equations to solve this question.
A chemist needs 10 liters of a 60% alcohol solution. She has 30% and 80% alcohol solutions available to mix. How many liters of each need to be mixed to obtain 10 liters of a 60% alcohol solution?
Thank you very much!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 148274: Could you please help me with this problem. I am supposed to use a system of equations to solve this question.
I have 30 coins worth $6.00. The coins are quarters and dimes. How many of each do I have?
Thank you very much!

Click here to see answer by Alan3354(69443) About Me 

Question 148283: Find the equation of the line parallel passing through 3x+y=7. x=2;y=1 3/4
Click here to see answer by nerdybill(7384) About Me 

Question 148280: 1. in interval notation, what is the range of F(x)=2x^3-4x-7 (i'm thinking that this range cannot be determined, am i correct.)
2. which of the following is a line perpendicular to y=_x+4 y=_x-_, y=2x-4,y=2x-_, or y=-2x
3. what is the slope of the line that passes through(-4,-2) and the origin
M=_, B=_, M=-_ or insufficient information given
4. two lines are parallel if m1=(-m2)-1, m1=-m2, m1=m2, or none of the above (i'm thinking none of the above is this correct)
5.f(x+h)-f(x) is this the numerator of the different quotient

Click here to see answer by stanbon(75887) About Me 

Question 148298: find x:
2 sqrt of x-3 = 12

Click here to see answer by nerdybill(7384) About Me 

Question 148334: Which line is the flattest (or is less steep)? Why?
y = 5x -6
y = 5x + 6
y = x - 3
y = 1/2x + 3

Click here to see answer by Alan3354(69443) About Me 

Question 148337: Find the slope of a line containing these points.
(5,-2) & (-3,2)
need help and steps

Click here to see answer by Alan3354(69443) About Me 

Question 148335: The line y = 4x - 7 crosses the y axis at:
(4, 0)
(0, 4)
(-7, 0)
(0, -7)

Click here to see answer by Alan3354(69443) About Me 

Question 148345: What is the slope and y-intercept of the line represented by the equation
y = (3/8)x - 5?
slope = 3/8, y-intercept = 5
slope = 5, y-intercept = 3/8
slope = 3/8, y-intercept = -5
slope = -5, y-intercept = 3/8

Click here to see answer by Earlsdon(6294) 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