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 174231: Which statement is true of the given lines?
Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4
a) Lines a and b are parallel.
b) Lines a and c are parallel.
c) Lines a and b are perpendicular.
d) Lines a and c are perpendicular.

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

Question 174232: Determine which lines, if any, are parallel or perpendicular.
Line a: y = 3x + 6, Line b: 3x + y = 6, Line c: 3y = 2x + 18

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

Question 174230: A hockey puck leaves the blade of a hockey stick, bounces off a wall, and travels in a new direction.
a) Write and equation that models the path of the ordered pairs of (-4,0) and (0,8).
b) Write and equation that models the path of the ordered pairs of (0,8) and (-4,16).
c) Does the path of the puck form a right angle? Explain.

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

Question 174201: solve the system of equations and enter the solution as an ordered pair
7x-3y+5=16
4y=3x+17

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

Question 174418: the linear equation x =-1 graphs as a horizontal/ vertical / diagonal line. Describe how to determine this answer.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 173185: The value V, in dollars, of a shopkeeper's inventory software program is given by V = -40t + 350, where t is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 yr., 4 yr., and 6 yr.
Click here to see answer by nycsub_teacher(90) About Me 

Question 172345: 1 times a number plus -5 that will give me an answer of -3
Click here to see answer by rapaljer(4671) About Me 

Question 174547: Solve for X and Y in the following problems. Make sure you show all your work so you can get partial credit even if your final answer is wrong.
a. X + Y=6 , 2X + Y = 8
b. 7X + 3Y = 14 , 5X + 9Y = 10
c. 4X + Y = 16 , 2X + 3Y = 24
d. 12X + Y = 25 , 8X - 2Y = 14
I get the variables and graphing, however have not found any examples of how to solve only given this amount of information.

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

Question 174561: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
6x + 2y = 2
3x + 5y = 5

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

Question 174563: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
4x – 3y = 1
-12x + 9y = 5

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

Question 174554: 7X + 3Y = 14 , 5X + 9Y = 10
4X + Y = 16 , 2X + 3Y = 24
12X + Y = 25 , 8X - 2Y = 14

Click here to see answer by Edwin McCravy(20056) About Me 

Question 174589: c. 4x + y =17, 2x + 3y=21
d. 18x + y=42,6x-3y=-6
Please help I am having a brain cramp

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

Question 174549: . Solve for X, Y, and Z in the following systems of three equations:
a. X + 2Y + Z = 6
X + Y = 4
3X + Y + Z = 8
b. 10X + Y + Z = 12
8X + 2Y +Z = 11
20X - 10Y - 2Z = 8
c. 22X + 5Y + 7Z = 12
10X + 3Y + 2Z = 5
9X + 2Y + 12Z = 14

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

Question 173224: When solving systems of linear equations,what is the difference between a "true statement that yields infinitely many solutions" and a "false statement that yields no solution"?
Click here to see answer by actuary(112) About Me 

Question 174819: Make a scatter plot of the data below.
x: -5,-3,-3,0,1,2,5,6
y: -4,12,10,-6,8,0,3,-9
Describe the correlation of the data. If possible, fit a line to the data and write an equation of the line.

Click here to see answer by Edwin McCravy(20056) About Me 

Question 174867: This question confused me.
2(x+1)-(y-4)=15
3(x-1)+4(y+2)=2

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

Question 174865: I got a question I hardly understand let alone solve.
What value of m gives a system
y=1^2 x-2
y=mx-1 with
a) one solution
b) an infinitely many solutions
c) no solution

Click here to see answer by HyperBrain(694) About Me 

Question 174874: This 3 part question has been puzzling me
What value of m gives a system
y=1x/2x-1
y=mx-1 with
a)one solution b)an infinitely many solution c) no solution

Click here to see answer by Mathtut(3670) About Me 

Question 174964: I don't know how to do slope.
Click here to see answer by Mathtut(3670) About Me 

Question 174976: Could someone help me out?
How much of a 40% antifreeze solution must a mechanical mix with an 80% antifreeze solution if 20 L of a 50% antifreeze solution are need?
I tried the following and was marked wrong.
Let c represent the 40% solution
___ y _____________ 80% ________
x + y= 20
40x+80y= 50
------------
40x+40y=8
40x+40y=.5
-4y=7.5
y=18.75
------------
x+18.75=20
------------
x=1.25 y= 18.75

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

Question 174973: I need help!!
- A car travelled 470 km from Sudbury to Brandford in 5 hours. For part of the trip, the car travelled at 100 km/h. For the rest of the trip, it travelled at 90 km/h. How far did the car travel at each speed?
I tried
x+y=5
100x+90=470
100x+100y=500
100x+90y=470
= 10y = 30
x=2 y=3
but I only got half marks. Where did I go wrong and what was the answer?

Click here to see answer by Electrified_Levi(103) About Me 
Question 174973: I need help!!
- A car travelled 470 km from Sudbury to Brandford in 5 hours. For part of the trip, the car travelled at 100 km/h. For the rest of the trip, it travelled at 90 km/h. How far did the car travel at each speed?
I tried
x+y=5
100x+90=470
100x+100y=500
100x+90y=470
= 10y = 30
x=2 y=3
but I only got half marks. Where did I go wrong and what was the answer?

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

Question 175076: What are the basic steps to solving a linear equation?
How do you solve 80-9y=6y?
I don't understand it at all!

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

Question 175132: 5x-2y=37
3x+4y=9
It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought I would see how it is done step by step and then we can work on the rest of his assigned problems.

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

Question 175131: I need help with the following
- Find the shortest distance from the point (3,1) to the line 3x+y=-2 to the nearest tenth.

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

Question 175104: Solving Systems of Equations Graphically. Please solve this problem for me. I keep getting the wrong graph, therefore I must not understand how to graph these equations: y - x = 1 & y + x = 3. Thank you, Charlie
Click here to see answer by actuary(112) About Me 

Question 175203: Can you please help me by WALKING me through how we determine that the intesect points for these two equations is (3,-1): (x - y = 4) & (x + y = 2). I need to see each step in the process of coming up with (3, -1). I know that these two points solves both equations. Thanks, Charlie
Click here to see answer by Alan3354(69443) About Me 
Question 175203: Can you please help me by WALKING me through how we determine that the intesect points for these two equations is (3,-1): (x - y = 4) & (x + y = 2). I need to see each step in the process of coming up with (3, -1). I know that these two points solves both equations. Thanks, Charlie
Click here to see answer by actuary(112) About Me 

Question 175230: Please solve x + 1 = 2/3x algrbracially. Please, step by step, I need to see how the answer is -3. Cannot figure this out.
Click here to see answer by EMStelley(208) About Me 
Question 175230: Please solve x + 1 = 2/3x algrbracially. Please, step by step, I need to see how the answer is -3. Cannot figure this out.
Click here to see answer by monika_p(71) About Me 
Question 175230: Please solve x + 1 = 2/3x algrbracially. Please, step by step, I need to see how the answer is -3. Cannot figure this out.
Click here to see answer by solver91311(24713) About Me 

Question 175260: what is x=y+4
2x+3y=43

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

Question 175309: How to solve the algebra equation (-1,6);m=5
Click here to see answer by Mathtut(3670) About Me 

Question 175338: I am having trouble understanding, "solving systems of equations by graphing."
Ex:
x+y=6
x-y=4
Then, I started to try and solve and find the ordered pair that worked for both equations. I only got this far, then I get confused:
x+y=6
-x -x
______
y=-1x+6

x-y=4
-x -x
_______
-y=-1+4

Click here to see answer by KnightOwlTutor(293) About Me 

Question 175455: how do i solve for y=4x-1 y=2x-5 using substitution

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

Question 175524: Please help me solve this equation: y=3x
x=3y

Click here to see answer by solver91311(24713) About Me 
Question 175524: Please help me solve this equation: y=3x
x=3y

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

Question 175562: The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there all together?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175610: question. 3x=4y-5
would like a detail answer so I can apply the formula to the rest of questions.
I am very quick at math but have not been using such math and have forgottem formulas so I can help my son.
Thanks Fred

Click here to see answer by Mathtut(3670) About Me 
Question 175610: question. 3x=4y-5
would like a detail answer so I can apply the formula to the rest of questions.
I am very quick at math but have not been using such math and have forgottem formulas so I can help my son.
Thanks Fred

Click here to see answer by solver91311(24713) About Me 

Question 175656: need help solving number 18 through 34 even
Click here to see answer by Mathtut(3670) About Me 

Question 175694: how do I solve the system of equations: 2x+3y=40 and -2x+2y=20?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175693: Please help me solve this equation: the sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number, what are the two numbers?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175696: If one number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175700: How do I find the system of equations 3y+2z=12 and y-z=9?
Click here to see answer by jim_thompson5910(35256) 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