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

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Question 201618: solve system by graphing
y=5/3x-4
y=-2/3x+3

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

Question 201631: -x+3y=0
2x+6y+12

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

Question 201099: 3-[4+3(2-5)2power]2power+3(4-1)
Click here to see answer by rfer(16322) About Me 

Question 201739: How do you solve the systems of linear equations using the graphing method?
I understand the elimination method and etc., but I do not get how to solve using the graphing method.
I know that the first step is putting it in slope-intercept form, but the graphing part I am having trouble with. How do you graph it exactly? Is there a specific way to plot points?
For example, how do you solve for this:
4x+2y=8
y=-2x+6
So far I tried doing it, and I've gotten the answer (3,2) but I did it again and there was no solution because it was parrallel.

Click here to see answer by stanbon(75887) About Me 
Question 201739: How do you solve the systems of linear equations using the graphing method?
I understand the elimination method and etc., but I do not get how to solve using the graphing method.
I know that the first step is putting it in slope-intercept form, but the graphing part I am having trouble with. How do you graph it exactly? Is there a specific way to plot points?
For example, how do you solve for this:
4x+2y=8
y=-2x+6
So far I tried doing it, and I've gotten the answer (3,2) but I did it again and there was no solution because it was parrallel.

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

Question 201752: Can you please explain to me how to go about dividing the expression below?

%28x%5E3%2Bx%5E2%2Bx-3%29%2F+%28x-1%29

Thank you.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 201752: Can you please explain to me how to go about dividing the expression below?

%28x%5E3%2Bx%5E2%2Bx-3%29%2F+%28x-1%29

Thank you.

Click here to see answer by RAY100(1637) About Me 

Question 201792: Please help me solve this equation: Is the ordered pair (0,5) a solution of the system of linear equations x+y=5, -5x+2y=10? yes or no
Thank you so much for taking out the time to read this, hopefully I will better understand it after you help me.

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

Question 201817: Consider the following system of equations:
{4x-7y=-5
5x+3y=29
Does the system have: one solution, no solution or infinite solutions?d

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

Question 201826: Solve by Substitution,
I need a help please!
7x-8y=-1
6x+36=y
7x-8(6x+36)=-1
7x-48x-288= -1
41x=287
x=-7
AND
y=???? How??
Thank you!

Click here to see answer by Alan3354(69443) About Me 
Question 201826: Solve by Substitution,
I need a help please!
7x-8y=-1
6x+36=y
7x-8(6x+36)=-1
7x-48x-288= -1
41x=287
x=-7
AND
y=???? How??
Thank you!

Click here to see answer by RAY100(1637) About Me 

Question 201864: Please help!
Solve by substitution method.
7m+n=7
m-8n=58
m=7-7m
m-8(7-7m)=58
m-56+56m=58
?=114

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

Question 201869: 5x-6y=-6
5x+51=y
5x-6(5x+51)=-6
5x-30x+306=-6
25x-300
x=-12,
and
y=5x+51
=-56+51
= my answer was -5 but, real answer is -9...
Can you please help me understand this?
Thank you so much!!!!

Click here to see answer by rfer(16322) About Me 
Question 201869: 5x-6y=-6
5x+51=y
5x-6(5x+51)=-6
5x-30x+306=-6
25x-300
x=-12,
and
y=5x+51
=-56+51
= my answer was -5 but, real answer is -9...
Can you please help me understand this?
Thank you so much!!!!

Click here to see answer by PRMath(133) About Me 

Question 201925: Please! help me with this. thank you so much!!!
6x+5y=-3
-5x+y=49
y=49+5x
6x+5(49+5x)=-3
6x+245+25x=-3
31x+248
x=-8
y=??? and how??

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

Question 201952: Solve by the elimination method.
9x-9y=18
7y-3x=-8
-3x+7y=-8
9x-9y=18
-3x+7y=-8
-9x+21y=-24
9x-9y=18
12y=-6
y=???
I really need help with this one. Thank you so much!!!

Click here to see answer by rfer(16322) About Me 

Question 201975: x - y = 10
x - y = -2
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
Can someone also give me a break down of how to do this because I am very confused! Thank you!: Solve the system of equations by graphing. Then classify the system.

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

Question 201995: Solve by graphing
2x+y=5
3x-y=10

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

Question 202001: Mom made two baches of iced tea. the first contained 6% sugar and was too sweet the second contained 3% sugar and was too sour how many cups should she take from each batch to make 9 cups of iced tea containing 4% sugar.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 202000: 3x+3y+z=8
x-3y+2z=-3
8x-2y+3z=11

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

Question 202005: the sum of two numbers is 16 when the small number is subtracted from two times the larger number the difference is 20 what are the two numbers
Click here to see answer by jim_thompson5910(35256) About Me 

Question 202008: Could you guide me about the following problem?Tanks..
N.has invested a total of $8000, some at 4% and the rest at 7%. If the 4% invenstment yields $155 more than the 7% invenstment, how much was invested at 4%?
I've written: 8000=2x+155 . Is it correct or I must use of either 4% and 7%?

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

Question 202037: the instruction here is "use the intercepts to graph each equation"
then, can you help me solve this one (((y + 3x -2 = 0)))...

Click here to see answer by jojo14344(1513) About Me 

Question 202053: Need help Solving the system by the addition method:
4x + 8y = 6
3x – 8y = 7
7x = 13
I added the x's and the y's cancelled and that left me with 7x=13?
I don't think this answer is correct though. Please let me know what I am
doing wrong?

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

Question 202069: Need help with writing the following problem as a system of two equations in two unknowns. Solve the system using the substitution method:
The sum of two numbers is 2, and their difference is 26. Find the numbers.
Not even sure where to start..
Here is my try:
x+y=2=26?

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

Question 202111: Need help completing the ordered pairs (4, ?) and (?, 5)
that satisfy the equation 3x – 6y = 7.
here is my try: 3x-6y=7
/3 /3
6y/3
y=2?
Need help solving this and finding the ordered pairs. Thanks

Click here to see answer by rfer(16322) About Me 

Question 202120: The area of a trapezoid is A=(a+b)h over 2. If A=300, h=5, and b=30, what is the value of a?
Click here to see answer by rfer(16322) About Me 

Question 202188: 5y-3x=1
4y+2x=80

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

Question 202417: Solve the given system by use of substitution:

2x-5y=32
8x+62=y

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

Question 202418: Solve the given system by use of substitution:

4m+n=26
m-3n=26

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

Question 202419: Solve the given system by use of substitution:

4x+5y=8
-6x+y=56

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

Question 202420: Solve the given system by use of substitution:

3x+8y=66
-3x+y=15

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

Question 202421: Solve the given system by use of elimination:

5x+2y=-13
7x-3y=17

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

Question 202422: Solve the given system by use of elimination:

0.3x-0.2y=4
0.5x+0.3y=1



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

Question 202424: Solve the given system by use of elimination:

4x-9y=10.5
7y-2x=-6.5



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

Question 202425: Solve the given system by use of elimination:

0.05x+0.25y=11
0.15x+0.05y=12





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

Question 202430: solve the following system by the addition method:
{7x-6y=13} by
{6x-5y=11)

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

Question 202442: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
Thanks janet

Click here to see answer by stanbon(75887) About Me 
Question 202442: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
Thanks janet

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

Question 202454: x-4y=29
x-y=5

Click here to see answer by jim_thompson5910(35256) About Me 
Question 202454: x-4y=29
x-y=5

Click here to see answer by rfer(16322) About Me 

Question 202504: Please help me solve this word problem:
An airplane can travel a distance of 6,000 km in 6 hours with the wind. The return trip against the wind takes 7.5 hours. The rate of the airplane in still air is
a. 1,000 km/hr
b. 994 km/hr
c. 900 km/hr
d. 800 km/hr

Click here to see answer by Theo(13342) About Me 

Question 202506: Please help me answer this word problem:
The length of a rectangular board is 3 feet less than twice its width. A second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. If the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?

Click here to see answer by Theo(13342) About Me 

Question 202577: Wondering if I am on the right track with my problem:
I need to find the slope of the ling 2y=x
I am thinking I would set up the problem as such:
2y=x
y= (1/2)*x
slope = 1/2

Thanks for the help - Lori

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

Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

Click here to see answer by dyakobovitch(40) 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