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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 180757: The (x,y) is the solution set to the system 2x-y=-4
5x+9y=13, then
a. -3 b. 0 c. -3 d. 0
Click here to see answer by Mathtut(3670)

Question 180906: Solving Linear Systems graphically
d) 3x+2y=6 g) 2x-5y=10
y=4-x x+3y=-6

Thankssssssss and ppleaseeeeeeeeeeeeeee
Click here to see answer by jim_thompson5910(28593)

Question 178803: What are the conditions when the solution of a system of inequalities will be in the first quadrant?
Am I understanding this question correctly? I believe neither variable can be negative in order to be in the first quadrant.

Click here to see answer by carter6949(26)

Question 181066: The system 3/4x - 1/5y + 3=0, 5x+y-1=0 is equivalent to.
a. 15x-4y+60=0
-15x+3y-3=0
b. 15x-4y+60=0
15x+3y-3=0
c. 15x-y+15=0
-15x-3y-3=0
d. 15x-4y+60=20
15x+3y-3=3
Please help
Click here to see answer by solver91311(16877)

Question 181117: How would you solve this linear system by graphing x+5y=-10(Equation 1)
x+5y=5 (Equation 2)

Click here to see answer by solver91311(16877)

Question 181117: How would you solve this linear system by graphing x+5y=-10(Equation 1)
x+5y=5 (Equation 2)

Click here to see answer by stanbon(57307)

Question 181126: I was wondering if someone might be able to show me how to use the substitution process to solve the folling linear equation. I can do it but the one like this confuses me. Please show me step by step how this one is done.
x+y=3
x=2y-------this is what is confusing me since x is already solved for.
Thanks for any help anyone is able to give!!
Click here to see answer by Alan3354(30993)

Question 181160: can you help me please
Click here to see answer by Alan3354(30993)

Question 181160: can you help me please
Click here to see answer by solver91311(16877)

Question 181163: How do you work
{y=2x
{y=-6x+4
Click here to see answer by Alan3354(30993)

Question 181163: How do you work
{y=2x
{y=-6x+4
Click here to see answer by stanbon(57307)

Question 181163: How do you work
{y=2x
{y=-6x+4
Click here to see answer by eperette(173)

Question 181174: Powdered Milk worth $3.60/kg and cocoa worth 5.20/kg are to be mixed so that their combination is worth 82.40. How many kilograms of milk should be used if the weight of the milk is 10 more that of the cocoa?
Click here to see answer by Mathtut(3670)

Question 181260: Hello, I finished school what seems like years ago. I have signed up to try and woth for the airforce as an officer. My maths is really rusty. There is a problem in one of their test papers which i dont understand. Its probably very simple.
3to the power of x = 81
I cant put the x above the 3 not sure how to enter that into a computer. Do you have any recommendations about reviving previous knowledge i have with maths?
thanks
Jesse
Click here to see answer by ptaylor(2048)

Question 181302: Are all linear equations functions?I would say no but In what instance is a linear equation not a function?I need an equation of nonlinear function and I don't knwo how to write that or where to start. Thank you!
Click here to see answer by eperette(173)

Question 181314: What are the similarities and differences between functions and linear equations?
Click here to see answer by Mathtut(3670)

Question 181433: A boat travels down the river for 8 miles in 20 minutes. The same boat travels
back up the river for 8 miles in 30 minutes. Find the speed of the boat in
still water.
Click here to see answer by stanbon(57307)

Question 181450: as written on my homework =
solve the system :
4x-7/2y=-18
7/2x-3y=-31/2
Click here to see answer by josmiceli(9671)

Question 181453: as written :
find a value of p that will result in one solution for this system.find this solution!
3x+y=-2
px-y=-12
Click here to see answer by josmiceli(9671)

Question 181449: Solve by using the substitution method.
y=-3x-1
2x-3y=-8
Click here to see answer by HyperBrain(694)

Question 181549: What does it mean to solve a linear equation in one variable, the objective is to isolate the variable on one side of the equation.
Click here to see answer by Mathtut(3670)

Question 181540: 4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?

Click here to see answer by solver91311(16877)

Question 181577:
Click here to see answer by Mathtut(3670)

Question 181584: The band members sold tickets to their concert performance. There were 16 more than twice as many $6 tickets as $5 tickets. The total sales were $1643. How many tickets of each price were sold?
Click here to see answer by Mathtut(3670)

Question 181743: Method of Substitution
11. Pietro needs to rent a truck for 1 day. He calls two rental companies to compare costs. Joe's Garage charges $80 for the day plus $0.22/km. Ace Trucks charges $100/day and $0.12/km. Under what circcumstances do the two companies charge the same amount? When would it be better for Pietro to rent from Joe's Garage.
Thank you very much and i need it today please.
Click here to see answer by Mathtut(3670)

Question 181756: I am having difficulty with a linear equation word problem.
Band A charges $600 to play for the evening. Band B charges $350 plus $.125 for each ticket sold.
-Write a linear equation for the cost of each band
-Graph each equation and find the number of tickets for which the cost of the two bands would be equal.
I tried to find the two equations and came up with -
y= 5/4x - 280
y= x - 600
Thanks.
Click here to see answer by Mathtut(3670)

Question 181781: Hi, I'm having trouble with the following questions:
For what value of 'a' is there no unique solution for the following?
3x - 2y = 5
5x + ay = 4
Also, when 'a' has this value, is there an infinite number of solutions or no solution? Justify your answer.
Thank you so much!

Click here to see answer by ptaylor(2048)

Question 181787: Hi tutors!
I'm really stuck on this!!
an orchandist has 10 hectares of land available for growing Fuji apples and Nashi pears. She estimates that each hectare of apples will cost $5000 to establish, and each heactare of pears will cost $20 000 to establish. She is not able to spend more than $100 000 on establishing the orchard.
It is also estimated that the profit per hectare from apples will be $4000 and the profit per hectare from pears will be $8000.
What is the maximum profit the orchard can expect?
How many hectares of Fuji apples and Nashi pears should she plant to achieve this? Show your working clearly. You should explain the reason behind the answer you give.

This is a huge problem. Sorry about this tutors!! But would appreciate if you could solve it for me!!
Thanks!!
Click here to see answer by stanbon(57307)

Question 181789: Use Substitutionto solve each euqations, If the system does not have exactly one solution, state whethter it has no solution or infinitely many solutions.
X-5Y=36 2X+Y=-16
Click here to see answer by stanbon(57307)

Question 181780: Hi there my question is:
Solve for (x, y, z)
2x + 5y + 3z = 16
x/5 + y/2 + z/3 = 2 (this is a fraction with x at the top and 5 and the bottom)
3x = 2y - 4z = -2
State clearly whether this system is consistent or inconsistent, whether the solution is unique, or if there are an infinite number of solutions, or no solution at all. If the solution is unique, state the solution.

Thanks tutors!!
Click here to see answer by ankor@dixie-net.com(15649)

Question 181790: Use Substitutionto solve each euqations, If the system does not have exactly one solution, state whethter it has no solution or infinitely many solutions.
1/3X-Y=3 2X+Y=25
Click here to see answer by Alan3354(30993)

Question 181792: Use Substitutionto solve each euqations, If the system does not have exactly one solution, state whethter it has no solution or infinitely many solutions.
X-3Y=-4 2X+6Y=5
Click here to see answer by Alan3354(30993)

Question 181791: Use Substitutionto solve each euqations, If the system does not have exactly one solution, state whethter it has no solution or infinitely many solutions.
4X-5Y=-7 Y=5X
Click here to see answer by Alan3354(30993)

Question 181793: Y-5=4X
6X-3Y=-3
Click here to see answer by stanbon(57307)

Question 181885: Hello Tutors!
I am never able to do quetions like this! Could you also please show all working out so I can figure it out?
Solve for x: 3 - x / 4 < 2 - 3x / 5
Note: This is are Linear Inequation. The / indicates a fraction with 3 - x at the top and 4 and the bottom. And also 2 - 3x and 5 at the bottom.
Thank you so much!!
Click here to see answer by nerdybill(6958)

Question 181961: Find the values of x and y that solve the following systems of equations.
6x+7y=-5
4x+3y=-15
Click here to see answer by jim_thompson5910(28593)

Question 182050: 8x+2y=13
4x+y=11
Click here to see answer by jim_thompson5910(28593)

Question 182057: use substitution to solve each system of equations. If the system does not have exactly one solution, state wether it has no solution or infenetily many solutions.
8x+2y=13
4x+y=11
Click here to see answer by Earlsdon(6287)

Question 182060: Find the values of x and y that solve the following systems of equations.
6x+7y=-5
4x+3y=-15
Click here to see answer by jim_thompson5910(28593)

Question 182102: Solve the system by substitution:
x+5y= -10
2x-y = 2
what is x and y?
Click here to see answer by jim_thompson5910(28593)

Question 182101: Solve the system by substitution:
x= 3y+6
2x+y= -16
what is x and y?
Click here to see answer by jim_thompson5910(28593)

Question 182143: Hello Tutors!I have a problem that I'm stuck with here.
1) The equations of three planes are:
3x + 2y + 7z = 25
2x + y + 4z = 14
5x + 3y + 11z = 39
Solve the above system of equations. State whether this system is consistent or inconsistent and how many solutions are there?

Thank you for your help!!

Click here to see answer by stanbon(57307)

Question 182114: Hi
I have 88 coins to the value of $11.40,I have some 5 cents,25 cents and three time more 10cents then 25 cents.How many of each tipe of coins do I have?
How do I put it in a equation to solve it?
Thanks
Vasea
Click here to see answer by ankor@dixie-net.com(15649)

Question 182167: Please answer this equation:

Click here to see answer by checkley77(12569)

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