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

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> Questions on Algebra: Systems of Linear Equations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Linear-systems (FREE)


Question 1047294: Simplify –5a – 3a + 3b.
answer:
–2a + 3b

–5a + 3ab

8a + 3b

–8a + 3b

Click here to see answer by ikleyn(52786) About Me 

Question 1047298: Which are examples of variables?
answers:
+, –, x , ÷

3, 6, 9, 12

x, y, ac

4 + 6 – 2 = 8

Click here to see answer by Boreal(15235) About Me 

Question 1047299: Simplify 3(3y + 2) + 8y.
answers:
–17y + 6

23y

17y + 6

–17y + 2

Click here to see answer by Boreal(15235) About Me 

Question 1047306: Problem Page
In the lab, Heather has two solutions that contain alcohol and is mixing them with each other. She uses
500
milliliters less of Solution A than Solution B. Solution A is
17%
alcohol and Solution B is
11%
alcohol. How many milliliters of Solution A does she use, if the resulting mixture has
167
milliliters of pure alcohol?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1047306: Problem Page
In the lab, Heather has two solutions that contain alcohol and is mixing them with each other. She uses
500
milliliters less of Solution A than Solution B. Solution A is
17%
alcohol and Solution B is
11%
alcohol. How many milliliters of Solution A does she use, if the resulting mixture has
167
milliliters of pure alcohol?

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

Question 1047317: Charlie invested his savings in two investment funds. The amount he invested in Fund A was twice as much as the amount he invested in Fund B. Fund A returned a
7%
profit and Fund B returned a
5%
profit. How much did he invest in Fund B, if the total profit from the two funds together was
$2090
?

Click here to see answer by advanced_Learner(501) About Me 

Question 1047781: Solve by using the elimination method. Please help me. Thanks!
1.5b = 20 + 2a
2a + 4b = 7
2.3x + 4y = 14
4x + 5y = 17
3.2x - 4y = 28
4x = 17 - 5y

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

Question 1047794: Solve system of equation by elimination:
5b = 20 + 2a
2a + 4b = 7

Click here to see answer by Boreal(15235) About Me 
Question 1047794: Solve system of equation by elimination:
5b = 20 + 2a
2a + 4b = 7

Click here to see answer by Alan3354(69443) About Me 
Question 1047794: Solve system of equation by elimination:
5b = 20 + 2a
2a + 4b = 7

Click here to see answer by Assumpcaod(1) About Me 

Question 1047796: Solve by using the elimination method. I tried to solve this but any of the x and y wont be eliminated. How do I do this?
3x + 4y = 14
4x + 5y = 17

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

Question 1047789: Two factory plants are making TV panels. Yesterday, Plant A produced
4000
panels. Two percent of the panels from Plant A and
5%
of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was
4%
?

Click here to see answer by advanced_Learner(501) About Me 

Question 1047821: The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve t-shirts sold for $12.75. In all, $421.65 was taken in.
How many short sleeve t-shirts were sold?

Click here to see answer by advanced_Learner(501) About Me 

Question 1048195: Solve system of equations using table.
1.) 3x + y = 4 and 2x + y = 6
2.) 2x + 3y = 4 and 5x + 6y = 5

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

Question 1048190: Solve the system of equation using table.
5x + 4y = 7
-x - 4y = -3

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

Question 1048206: Two planes left the same airport at the same time traveling in opposite directions. The first plane traveled at an average rate of 30 mph slower than the second plane. After 3 hours, the planes were 3150 miles apart.
Enter an equation that can be used to determine when the planes are 3150 miles apart, where x represents the average rate of the second plane.
Enter the average rate of change of the slower plane.
Equation:
Average rate of change:
mph

Click here to see answer by Boreal(15235) About Me 

Question 1048224: a company manufactures and sells bar stools. manufacturing costs consist of a fixed cost of R25 000 per month and a variable cost of R350 per unit. each unit is sold at R600.00.
determine the linear profit equation

Click here to see answer by Boreal(15235) About Me 

Question 1048258: Solve by using elimination:
x-y-2z=4
-x+2y+z=1
-x+y-3z=11
Please and thank you

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

Question 1048387: Solve using elimination, thank you!
x - 0.5y = -3
2x - y = 6

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

Question 1048661: Solve the system of equations
2x - y + 3z = -2
x + 4y - 2z = 16
5x + y - 1z = 14

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

Question 1048660: 1. xy-2x-4xz+2xyz + x(2x-xy)

2. 1/50 - 2x Squared

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

Question 1048715: An employment agency specalizing in temporary construction help pays heavy equipment operators $123 per day and general laborers $87 per day. If thirty two people were hired and the payroll was $3900, how many heavy equipment operators were employed? How many laborers?
Click here to see answer by advanced_Learner(501) About Me 

Question 1048787: 1. In an opera theater, sections of seating consisting of three rows are being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people wit be in the third row?
2. In the same opera theater personal balcony sections with three rows of seating are being mapped as well. In these sections there must be an odd number of seats in each row and each row have two more seats than the one before it. The last stipulation is that the front row must have one quarter the total seats in the back two rows combined. How many seats will be in each row?





Click here to see answer by josmiceli(19441) About Me 

Question 1048786: 1. Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven..

2. Find three every other even integers such that the sum of all three is equal to three times the largest decreased by the other two numbers




Click here to see answer by josgarithmetic(39617) About Me 
Question 1048786: 1. Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven..

2. Find three every other even integers such that the sum of all three is equal to three times the largest decreased by the other two numbers




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

Question 1048908: x+y+3z=-4
-x-y-2z=5
2x-z=-3
Work being shown

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

Question 1049013: x+6y_z=10
2x+3y+3z=17
3x_3y_2z=_9

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

Question 1049120: 2/x-5/y=5
3/x+10/y=18
find the point where they intersect?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1049120: 2/x-5/y=5
3/x+10/y=18
find the point where they intersect?

Click here to see answer by MathTherapy(10552) About Me 
Question 1049120: 2/x-5/y=5
3/x+10/y=18
find the point where they intersect?

Click here to see answer by ikleyn(52786) About Me 

Question 1049135: Slope 2, y-intercept at 0
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1049160: Non integer solutions are difficult to approximate from graphs so how would I find a solution to a system of
y=3x and y=-3x+2

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

Question 1049300: I have been attempting this problem and I have no clue as to where to go. I only have on problem left and I was not able to solve it for this section and was wondering if anyone could please provide assistance on how I should go about solving this.
1.) Determine the rate of change for each equation.
3/2x - 5/4y = 15
Here is what I have attempted to do with the problem: I have subtracted the 3/2x to the other side and ended up with -5/4y = -3/2x +15 which is what I am currently stuck on. I feel like I went about this the correct way, but I could be wrong.

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

Question 1049311: X-y+3z=6
×-2y=5
2x-2y+5z=9

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

Question 1049400: Find the point at which the line intersects the given plane.
Line: 5x= y/2= z+2.
Plane: 10x-7y+3z+24=0

Click here to see answer by KMST(5328) About Me 

Question 1049677: A plane traveled 514.8 miles each way to Sydney and back. The trip there was with the wind. It took 5.5 hours. The trip back was into the wind. The trip back took 11 hours. What is the speed of the plane in still air?
What is the speed of the wind?
I got two equations out of this: 5.5x-5.5y=514.8, and 11x+11y=514.8. I solved the system to get 70.2 mph, and -23.4. Since speed in this sense can't be negative, does anybody know what I did wrong here?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1049677: A plane traveled 514.8 miles each way to Sydney and back. The trip there was with the wind. It took 5.5 hours. The trip back was into the wind. The trip back took 11 hours. What is the speed of the plane in still air?
What is the speed of the wind?
I got two equations out of this: 5.5x-5.5y=514.8, and 11x+11y=514.8. I solved the system to get 70.2 mph, and -23.4. Since speed in this sense can't be negative, does anybody know what I did wrong here?

Click here to see answer by ikleyn(52786) About Me 

Question 1049750: 6x+2y-3z=-17;7x-5y+z=72;2x+8y+3z=-21
solve by elimination

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

Question 1049758: solve using cramer rule :- 3x+2y+4z=19 2x-y+z=3 6x+7y-z=7
x-y+2z=1 x+y+z=2 2x-y+z=5
3x-2y+z=-1 -x+y+7z=1 4x-3y-2z=-2

Click here to see answer by ikleyn(52786) About Me 

Question 1049757: solve using cramer rule :- 3x+2y+4z=19 2x-y+z=3 6x+7y-z=7
x-y+z= 1 x+y+z=2 2x-y+z=5
3x-2y+z=-1 -x+y+7z=1 4x-3y-2z=-2

Click here to see answer by ikleyn(52786) About Me 

Question 1049811: The jurrascc zoo charges 10 for each adult and 7 for each child. The total bill for the 100 people was 790. How many adults and how many children are there
Click here to see answer by advanced_Learner(501) About Me 

Question 1049823: Hello!!
So i tried this equation many times but it did not work out. The Question was:
Tyler rows 10km downstream in 2 hours. On the return trip, it takes him 4 hours to travel 8 km. Determine his average rowing speed and the speed of the current.
This is what i tried:
Let x rep. his average rowing speed
let y rep. his speed of current
1 equation: 10=(x=y)2
2nd equation: 8+(x=y)4
but i got it wrong, so I was hoping you guys could help me out. Thank you very much!

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

Question 1049955: A system of equations that has (2,7.5) as it's [sic] solution
---
it's = it is
---------------
Do you have a question?

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

Question 1049967: Please help me on a systems of equations by graphing problem
The problem is 2x-3y=6 and y=-3x-2

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

Question 1049975: Without graphing. Classify the system as independent, dependent, or inconsistent
{25y-5x=30
15y= 3x-18

Click here to see answer by MathLover1(20850) 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