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

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Question 146117: The function S=5000 +200x and D= 9500 -100x express the supply S and the demand D respectively, for a popular CD brand as a function of its price x in dollars.
Graph the functions on the same coordinate system.
What happens to the supply as price increases?
What happens to demand as price increases?
The price at which supply and demand are equal is called equilibrium price. What is the equalibrium price?
Click here to see answer by ankor@dixie-net.com(15746)

Question 146196: Solve by the substitution method
9x+5y=-8
-5x+y=12
Click here to see answer by jim_thompson5910(28715)

Question 146202: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 57 points. They won 9 more games than they tied. How many wins and how many ties did the team have?
Click here to see answer by jim_thompson5910(28715)

Question 146204: 4) The body mass index I can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model where w=weight, in pounds and h=height in inches. Jerome is 71 inches tall.

What weights will keep his body mass index between 22 and 33?

Click here to see answer by jim_thompson5910(28715)

Question 146205: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $12120?

Click here to see answer by jim_thompson5910(28715)

Question 146221: 1.5x-2y=-0.25
3x+1.5y=6.375
Solve with addition method

Click here to see answer by nabla(475)

Question 146219: 1/8X + 1/4y=5
1/16x +1/2y=7
Solve system with addition method.
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Question 146216: 2x=3y+11
7x-4y=6 Solve system with addition method
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Question 146218: 3x-4y=9
-3x+4y=12 Solve system with addition method. IS this independant, dependant or inconsistant?
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Question 146215: Solve by addition
2x-y=-5
3x=2y=3
Click here to see answer by jim_thompson5910(28715)

Question 146212: Solve by substitution method
3x+y=2
-x-3y=6
Click here to see answer by jim_thompson5910(28715)

Question 146214: Solve by addition
x-y =12
2x+y=3
Click here to see answer by jim_thompson5910(28715)

Question 146213: Solve by addition
x+y=7
x-Y=9
Click here to see answer by jim_thompson5910(28715)

Question 146258: Find K if the given system of equations has infinite no of solutions.
2x+ky=1+2y and kx+12y=3
(1)-4 (2)6 (3)Either (1) or (2) (4) none of these.
i have chosen (3). But theanswer givenis (2). How it could be..?? plz explain this...??
Click here to see answer by stanbon(57967)

Question 146322: Solve the system by the elimination method
5x+3y=-7
7x-2y=19
Click here to see answer by jim_thompson5910(28715)

Question 146405: Solve by the elimination method
4x-8y=1
4x-8y=2
Click here to see answer by jim_thompson5910(28715)

Question 146408: Solve the system of equations by graphing. Then classify the system as consistent or inconsistent or inconsistent and the equations as dependent or independent.
2x-6y=42
3x-9x=-21
Click here to see answer by jim_thompson5910(28715)

Question 146410: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 63.75 degrees. Find the measure of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?

Click here to see answer by jim_thompson5910(28715)

Question 146417: What is the slope of 6X-(-3)
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Question 146466: How do you find the x, y coordinates?
y+4x-8 , y=2x=10
2x-3y=-2 , y=-4x+24
2x-10y=-12 , 3x+y=4
-3x+6y=48 , -5x+6y=32
x=6y-4 , x=-2y+28
Click here to see answer by ishan sethi(3)

Question 146516: please solve this linear equation using elimination.
5x/12 - y/6 = 3
x + 2y = 0
Click here to see answer by jim_thompson5910(28715)

Question 146532: Solve the system of Equations
2/5x + 3/5y = 16/5
4x + 2y = 40
I know that some way you have to eliminate the fractions in the first equations. Where I am stuck at is how to eliminate the fractions and what type of method to use to solve it.
Click here to see answer by jim_thompson5910(28715)

Question 146537: Please help!
Tell whether the given ordered triple is a solution of the system.
1) (5, -2, 2)
2x-y+z=5
x+2y-z=-1
-2x+y-3z=-15

2) (1, -1, 3)
4x+2y+3z=11
x-2y+z=6
2x+y+2z=7
Thanks so much!
Click here to see answer by jim_thompson5910(28715)

Question 146538: Solve the system using any algebraic method.
1.
x-y+z=5
2y+3z=14
-3y+2z=5

2.
2x+2y+z=-5
2x+y+3z=7
-4x-2y-6z=-14
Thank you so much! I'm really confused.
Click here to see answer by aswathytony(47)

Question 146474: A two digit no is obtained by either subtracting 12 from 4 times the sum of its digits or by adding 6 to twicethe difference of its digits. Find the no.
(1)16 (2)28 (3)39 (4)can't be determined.....

Click here to see answer by aswathytony(47)

Question 146568: use substitution method
x-y=5
2x=2y+14
Click here to see answer by Alan3354(31528)

Question 146567: 4x+5y=-2
4y-x=11
Click here to see answer by Alan3354(31528)

Question 146566: 3x-5y=-9
5x-6y=-8
Click here to see answer by Alan3354(31528)

Question 146565: 4x-5y=-2
3y-x=-3
Click here to see answer by Alan3354(31528)

Question 146564: 5x+4y=7
x-3y=9
Click here to see answer by MathLover1(6812)

Question 146605: solve by substitution method
9x+7x=-47
-5x+y=31
Click here to see answer by jim_thompson5910(28715)

Question 146609: solve the system by the elimination method
5x+5y=11
7x-3y=17
Click here to see answer by jim_thompson5910(28715)

Question 146611: Solve by the elimination method
2x+3y=2
4x+6y=4
Click here to see answer by jim_thompson5910(28715)

Question 146613: X=2y-7
3X +2y=-5

Click here to see answer by jim_thompson5910(28715)

Question 146473: In a three digit no, the difference between the hundreds digit and its tens digit is equal to the difference between its tens digit and its units digit.Also the sum of the digits is 9. How many nos r possible which satisfies the above conditions..?
(1)6 (2)7 (3)8 {4}9
Ans i opted is 6....but given no is 9...could anyone pplz explain...??
Click here to see answer by Fombitz(13828)

Question 146429: I need to know if you can find the point slope of a line with two points and no slope. If so im am not sure how to do so. Can someoe please help me?
Click here to see answer by Fombitz(13828)

Question 146667: Please help me solve this word problem:
An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns $21 per hour, the carpenter $19.50 per hour, and the plumber $24 per hour. The first day on the job, they worked a total of 21.5 hr and earned a total of $469.50. If the plumber worked 2 more hours than the carpenter did, how many hours did each work?
Click here to see answer by scott8148(6628)

Question 146683: Solve the system of equations by graphing. then classify the system as consistant of inconsistant and the equalities as dependant or independant.
7x+y=12
8x+9y=-57
What is the solution of the system of equalities
Click here to see answer by jim_thompson5910(28715)

Question 146700: X=2y-7
3X +2y=-5
use addition method
Click here to see answer by jim_thompson5910(28715)

Question 146775: Graph the equality on a plane.
3x+4y is greater than or = to 12
Click here to see answer by jim_thompson5910(28715)

Question 146472: if and given that
and , which of the follwing is true...??
(1) (2) (3) (4)
Click here to see answer by Edwin McCravy(8999)

Question 146852: the solution set of x+y=2 and 3x=-2y-6
Click here to see answer by Fombitz(13828)

Question 146851: the solution set for x+y=2 and 2x+y=3
Click here to see answer by jim_thompson5910(28715)

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