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

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Question 810447: 1. Given the system
x + ay = 6
ax + 9y = b
a. For what values of a does the system have a unique solution?
For what ordered pairs (a,b) does it have multiple solutions?

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Question 810440: 6/x+4/y=4
9/x-2/y=2

Click here to see answer by mananth(16946) About Me 

Question 810488: Please help me to know what is the difference of substitution and elimination (ways of solving equation). Please give me an example, both.. Thank you..
Click here to see answer by richwmiller(17219) About Me 

Question 810484: Sales of Plasma TV's in the US were about 1.8 billion in 2000, and 4 billion in 2004. Let t=0 correspond to 2000 and find a model for this data. According to this model, what are sales in 2016?
t=16 corresponds to 2016
That's where I got stuck.

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

Question 810629: Use substitution to solve
2x - 4y = 14
x = -2y + 7

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Question 810629: Use substitution to solve
2x - 4y = 14
x = -2y + 7

Click here to see answer by richwmiller(17219) About Me 

Question 810593: Solve by Graphing
2x + y = 5
y = 2x - 3

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Question 810805: My daughter needs serious help with Linear Programming using Graphing Calculator. She has a problem she has been trying to solve for over a month, I have tried to help her and searched endlessly for help. Hopefully, the link below works. Everything comes up fine except for the very last part. We keep getting either an Error message or 137 instead of 78, as the problem shows. Thanks in advance for any help you can provide.
https://www.dropbox.com/s/xjq0i38dz8j6jeh/Photo%20Nov%2016%2C%201%2005%2011%20PM.jpg

Click here to see answer by rothauserc(4718) About Me 

Question 810841: My daughter needs serious help with Linear Programming using Graphing Calculator.  She has a problem she has been trying to solve for over a month, I have tried to help her and searched endlessly for help.  Hopefully, the link below works. Everything comes up fine except for the very last part. We keep getting either an Error message or 137 instead of 78, as the problem shows.  Thanks in advance for any help you can provide. One person said the 78 may not belong there at all and that the problem should end after the 136. Any thoughts?
If the link doesn't work, I can Email a picture. Thanks!
https://www.dropbox.com/s/xjq0i38dz8j6jeh/Photo%20Nov%2016%2C%201%2005%2011%20PM.jpg

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

Question 810863: system of two linear equations may have zero solutions if the lines do not have the same slope. true or false?
Click here to see answer by rfer(16322) About Me 
Question 810863: system of two linear equations may have zero solutions if the lines do not have the same slope. true or false?
Click here to see answer by richwmiller(17219) About Me 

Question 810266: use the method of substitution to solve the system of leanear equations
2x-y=8
7x-3y=28
what is the solution?

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Question 810222: substitution method
x=-3y+6
2/3x+2y=4
the 2/3x is a fraction

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Question 810195: Market research shows that the demand curve for a new game is linear. It was found that there was a demand for 150 units at 35 pesos each and 300 units for 20 pesos. Write the linear equation for the product and find the number of units that will sell at a price of 15 pesos.
Click here to see answer by TimothyLamb(4379) About Me 

Question 811046: how do i graph x+2y=10?
Click here to see answer by erica65404(394) About Me 

Question 811434: Use addition to solve.
2x + 3y = -5
3x - 2y = 12

I know the answer is (7,0), but how to do I come to that answer?

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

Question 811483: Use any method to solve.
x/2 - y/4 = -4
x + y = -2
The answer is (-6, 4), how do I get to this answer.

Click here to see answer by richwmiller(17219) About Me 
Question 811483: Use any method to solve.
x/2 - y/4 = -4
x + y = -2
The answer is (-6, 4), how do I get to this answer.

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

Question 811642: Can you find the value of n and c to make the systems of equations true?
c(n)=-3n-6
c(n)=n-4

Click here to see answer by TimothyLamb(4379) About Me 

Question 811725: Please help me solve the system of equations by the substitution method:
2y%2Bx=9+and+x=3y-3

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

Question 811768: Please help me solve the system of equation by the substitution method: 3a-b=7+and+2a%2B2b=5
Click here to see answer by josgarithmetic(39617) About Me 
Question 811768: Please help me solve the system of equation by the substitution method: 3a-b=7+and+2a%2B2b=5
Click here to see answer by MathTherapy(10552) About Me 

Question 811355: A line passes through (–9, –5) and (2, –4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

Click here to see answer by TimothyLamb(4379) About Me 

Question 812044: graph the linear equation y = -1
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Question 812674: [ -x + 3y = -9 ]
[ 8x-4y = 32 ]

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Question 812169: 3/4y-2x=1/4y-8
Click here to see answer by tommyt3rd(5050) About Me 

Question 812839: Solve the following equation. Then place the correct number in the box provided.
x + 2 = 10

Click here to see answer by luke94(89) About Me 

Question 813089: More like a rate of change question. I'm a frustrated parent trying to teach a high functioning autistic teen; any help would be appreciated.
Problem: Dexter pays $10 towards the initial cost of his phone plan plus an additional cost for sending each text message. He pays $10.70 in all for 7 text messages that he sent during this month including the initial cost.
How much does Dexter pay for each text message sent from his phone?
And...Write an equation that represents the relationship between the number of messages sent, "n", and the monthly cost, "c".
Any help would be greatly appreciated. I can't seem to find anything in relation to this problem.

Click here to see answer by richwmiller(17219) About Me 

Question 813201: Find the center and the radius of the circle, then graph the circle.
x^2+y^2+6x-4y-203=0

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Question 813200: Solve
8y^2+xy=14
14y+x=25
Looking for order pairs.

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

Question 813232: Andrew wants to make a salad using mushrooms and lettuce. the salad needs to have 40 percent mushrooms. He has 19 ounces mushrooms and 12 ounces of lettuce. how many ounces of the mushrooms should be used if He wants to use all of the lettuce
Click here to see answer by josgarithmetic(39617) About Me 
Question 813232: Andrew wants to make a salad using mushrooms and lettuce. the salad needs to have 40 percent mushrooms. He has 19 ounces mushrooms and 12 ounces of lettuce. how many ounces of the mushrooms should be used if He wants to use all of the lettuce
Click here to see answer by MathTherapy(10552) About Me 

Question 813198: Solve.
x^2+y^2=97
xy=36

Click here to see answer by richwmiller(17219) About Me 

Question 813481: Solve
x^2+y^2=97
xy=36
What are the solutions.

I keep getting (4,9),(-4,-9),(9,4)(-9,-4)
but that's wrong.

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

Question 813559: Complete the table of ordered pairs for the given linear equation x=-y+3
Click here to see answer by ewatrrr(24785) About Me 

Question 813788: Find an equation of the line through the given points. Write the equation in standard form.
Through (-1,1) and (1, -13).

Click here to see answer by tommyt3rd(5050) About Me 

Question 814146: Please solve the provided system of linear equations by the elimination method.
3x=27+2y
x-7/2y=-25

Click here to see answer by TimothyLamb(4379) About Me 

Question 814145: Please solve the provided system of linear equations by the substitution method.
6x+9y=6
2x=2-3y

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Question 814206: 2x-1y+3z=5,3x+2y-1z=-2,1x+3y+4z=17
Click here to see answer by richwmiller(17219) About Me 

Question 814373: This is the question straight from the worksheet we got . . . A birding club holds an annual photography contest among its members. After a set time limit in a particular park, contestants receive 4 points for photos of songbirds and 20 points for photos of birds of prey. Last year's winner had a total of 200 points from 38 photos of individual birds. How many of each type of bird did the winner photograph.
Click here to see answer by richwmiller(17219) About Me 

Question 814252: I am working on substitution an elimination.I can figure out how to do the problems when they are in the right form but I don't know how to solve it when the problem is set up different. example... 2x-y=7 -7y=2x-31 On my paper the two equations are lined up over each other but I can't get it like that on here.
Click here to see answer by TimothyLamb(4379) About Me 

Question 814816: Solve using the addition method
:I understand how to do it but the squares throw me off
5x^2-5y^2=-35
2x^2=4y^2=82

Click here to see answer by richwmiller(17219) About Me 

Question 814823: Hi can you help me with slope-intercept form please, I need help with 9x-7y=-15. I think it's Y=(9/7)x+1,but I've been having trouble with this lesson-Thank you

Click here to see answer by josgarithmetic(39617) About Me 

Question 815191: Express your answer as an ordered pair.solve by using elimination 3x-2=15x-2y=5

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

Question 815416: 3x-4y=25
X^2-y^2=25

Click here to see answer by Alan3354(69443) 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