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

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Question 84143: Solve the system by substitution
5x+2y=-15
y=2x-12

Click here to see answer by funmath(2933) About Me 

Question 84179: Solve
x + y - z = 0
2x - y + z = 6
-x + y + z = 8
Show your answers as (x,y,z)

Click here to see answer by vertciel(183) About Me 

Question 84234: I have a graph with numbers 10,30,60,100,150,210,280,360 and so on. I am having trouble finding the correct fomular for this problem.
thank you for your help

Click here to see answer by venugopalramana(3286) About Me 

Question 84236: I have a graph with numbers 10,30,60,100,150,210,280,360 and so on. I am having trouble finding the correct fomular for this problem.
thank you for your help

Click here to see answer by venugopalramana(3286) About Me 

Question 84251: find x and y

x + 2y = 10
3x - y = 2

Click here to see answer by checkley75(3666) About Me 

Question 84336: Please help with solution and how obtained for this question.
One printing shop charges $5 plus $0.02 per page and a second shop charges $7 plus $0.015 per page. If __________ pages are printed, the total cost is less for the first printing shop.
A. less than 1500
B. less than 2100
C. less than 400
D. less than 900

Click here to see answer by tutor_paul(519) About Me 
Question 84336: Please help with solution and how obtained for this question.
One printing shop charges $5 plus $0.02 per page and a second shop charges $7 plus $0.015 per page. If __________ pages are printed, the total cost is less for the first printing shop.
A. less than 1500
B. less than 2100
C. less than 400
D. less than 900

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

Question 84625: The supply equation is Y= 28X + 2025 and the demand equation is Y= -17X + 6120. The equilibrium demand is

A. 45
B. 4573
C. 2025
D. 91

I figured this problem and came up with the values of X = 91 and Y = 4573. Both of these answers are listed above. Which one is the equilibrium demand?, or do I have to continue figuring further to get another answer?? PLEASE assist.

Click here to see answer by vertciel(183) About Me 

Question 84493: can you haelp me solve the system of equations. using the Gaussian elimination qith back substitution or gauss-jordan elimination
x+5y= 0
x+6y+z=1
-2x-y-z=-41
can you break it down to me on how to solve problems of this type

Click here to see answer by vertciel(183) About Me 

Question 84803: 2) In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
a) Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.
b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?

c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?


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

Question 84834: how does when solving for c,
C(98/100) + [-1000-C](2/100)=0
98/100C + 2/100C-20=O
These equations equal each other, but I cannot figure out the steps to find out how to get tothe second equation

Click here to see answer by Earlsdon(6294) About Me 

Question 84868: Systems of Linear Equations help please?!?!?
16:
3x - 2y = 12
7x + 2y = 8
(3, 2)
(2, -3)
(-2, 1)

17:
3x + 5y = 15
6x + 10y = -30
(1, -1)
an infinite number of solutions
no solution

18:
y = x - 4
x + 3y = 12
(1, -2/3)
(-1, 2)
(6, 2)

19:
3x - y = 7
2x + 3y = 1
(2, -1)
(2, -3)
an infinite number of solutions

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

Question 84927: Solve the system by addition.
2x - 3y = 2
x - 5y = 1

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

Question 84953: Given f(x)=5x-5, find f(a-4)
Click here to see answer by mala_kumarkos@yahoo.com(10) About Me 

Question 85007: The sum of two numbers is 29. Their difference is 7. What are the two numbers?
Click here to see answer by uma(370) About Me 

Question 85009: Solve the system by graphing.
x – 2y = 8
x + y = –1

Click here to see answer by uma(370) About Me 

Question 85006: Given f(x) = –x3 – 2x2 – x – 3, find f(–2), f(0), and f(2)
Click here to see answer by uma(370) About Me 

Question 84991: Hi
I Hope you can help with these Algebra problems.
5x+3y=9...... y=??
7x+8y=5.......x=??

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

Question 85008: The sum of two numbers is 84. The second is 9 more than 4 times the first. What are the two numbers?
Click here to see answer by stanbon(75887) About Me 

Question 85093: hi, i am asked to find the standard form of an equationfor a line using the points (9,2) and (5,- 3). can anyone please help me as i am not sure how to do this. thanks
Click here to see answer by jim_thompson5910(35256) About Me 

Question 85100: hi, how would I be able to find an equation of the line through the point (-2/3, 1)with undefined slope? What process will I use?
Click here to see answer by stanbon(75887) About Me 
Question 85100: hi, how would I be able to find an equation of the line through the point (-2/3, 1)with undefined slope? What process will I use?
Click here to see answer by bucky(2189) About Me 

Question 85116: Write the equation of the line that passes through point (–1, –3) with a slope of –5.
Click here to see answer by checkley75(3666) About Me 

Question 85030: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 85239: Solve the system by graphing.
3x + y = 6
3x – y = 0

Click here to see answer by Lacey020991(49) About Me 

Question 85240: Solve the system by addition.
5x – 3y = 13
4x – 3y = 11

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

Question 85279: One number is 8 less than another. If 9 times the smaller number minus 4 times the larger number is 8, find the two numbers.
Click here to see answer by josmiceli(19441) About Me 

Question 85286: One number is 8 less than another. If 9 times the smaller number minus 4 times the larger number is 8, find the two numbers.
Click here to see answer by Lacey020991(49) About Me 

Question 85117: Use the indicated property to write an expression that is equivalent to the following expression.
(7 • 5) •2 (associative property of multiplication)

Click here to see answer by scianci(186) About Me 

Question 85483: The question is, find the average rate of change from f from -2 to 2. What is the average rate of change of f from x1 to x2, where x1 and x2 are distinct real numbers?
f(x) = -1/4x
I cannot figure out what the question is looking for, any tips?

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

Question 85491: Here's a question that has myself and my classmates getting all kinds of answers
See what you come up with:
Sove the equation for y. Write the answer int he form y=mx +b, where m and b are real numbers.
1/2x + 1/4y = 4

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

Question 85505: How do I solve algebraically? y=5x+6 and 2x-5y=16. I cannot figure this one out.
Click here to see answer by stanbon(75887) About Me 

Question 85521: Solve by the Elimination Method
2/3x + 1/2y = 9
1/3x - 1/9y = 4

Click here to see answer by Nate(3500) About Me 

Question 85531: 2x+y=2
4x+y=4
If you multiply one of these by -1, the Ys will cancel, enabling you to solve it for x:
-1(2x + y = 2) --> -2x - y = -2
4x + y = 4 --> 4x + y = 4
-----------
2x = 2
x = 1
Now plug 1 in for x into either of the original equations to get y:
2(1) + y = 2 [using the first eqution]
2 + y = 2
y = 0
The solutoin is (1 , 0)

Click here to see answer by scianci(186) About Me 

Question 85529: Could you please help me solve these systems by using the addition method and indicate whether each system is independent, inconsistent, or dependent.
x+3(y-1)=11
2(x-y)+8y-28
Thank you!!!

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

Question 85528: two trees and ash and an oak, grew together side by side in the forest. Over the years the ash grew to be one and a quarter times as high as the oak. One day the woodcutter came along and lopped 3 meters off the height of both trees and now the ash is one and a third times the height of the oak. How high was the ash originally
Click here to see answer by stanbon(75887) About Me 

Question 85550: y=4x-9
y=-x+6
Solve a system by substitution

Click here to see answer by checkley75(3666) About Me 

Question 85577: Solving for x please
(x + 3)/4 – 3/2 = (x + 4)/8

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

Question 85635: I need help please with these problems: Solve the absolute value equation and graph the solution set:
[2x-8]=0
[5x-1]<=14

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

Question 85634: Help please! I need to solve this system by graphing and indicate whether it is independent, inconsistent, or dependent:
y=3x-4
y=-2x+1

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

Question 85597: This problem is driving me nuts.
******
The math score on an exam can be written as:
S=200 + 20R - 5W, where S is the score, R is the number of correct answers and W is the number of wrong answers.
Dana's score on the test was 525 and he answered 19 questions correctly. How many did he answer incorrectly?
*******
I know the answer to be 11, but I can't figure out how it was solved!!!!!!!!!!!!!
Please help.

Click here to see answer by dolly(163) About Me 

Question 85670: x/3>-5/4

Click here to see answer by scianci(186) About Me 

Question 85724: Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 85773: What is linear factoring and can you explain on how to do this problem:
*which of the following is a linear factor of 2x^2-x-6?
a. 2x-3
b. x+2
c. 2x+3
d. x-3

Click here to see answer by checkley75(3666) About Me 

Question 85812: Can you please help me with trying to find n, please?
a = w(p+n)/7 .

Click here to see answer by scianci(186) 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