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

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Question 501651: 3x-y=12
11y-2x=5

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

Question 501687: the sum of the digits of a two digit number is 12, if the digits are reversed, the new number is 18 more than the original number. what is the original number?
Click here to see answer by mananth(16946) About Me 

Question 501758: By graphing method.
1. y= 5x-2
y= -x +4
Can u answer thesee.? PLeaseeeee..

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

Question 501679: if 18 is added to a two digit number, the digits are reversed. the sum of two digits is 8. what is the original number.
Click here to see answer by htmentor(1343) About Me 

Question 501602: Solve the following system (if possible) and place your answer below:
3/x - 2/y = -30
2/x - 3/y = -30

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 502862: Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244?

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

Question 502898: One equation in a linear system is x+2y=4. Write another equation so that the system has the unique solution (-2,3)
Click here to see answer by Fombitz(32388) About Me 

Question 502971: Please help me solve this.
Is this system dependent or independent?
x + 2y + z = 4
3x - 4y + z = 4
6x - 8y + 2z = 8

Click here to see answer by jrb1965(16) About Me 

Question 503208: Solve the system, using elimination.
3x+2y=17
4x-2y=4

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

Question 503571: how do you solve problems with an varible in the answer? ex: 4x+9=7x or 4x+9=7X+3
Click here to see answer by xdragonfight(116) About Me 

Question 503708: find equation of each line, write in slope interept and standard form (if possible).
1. through (-7,2) and perpendicular to y=2x ???
i got confused on how to find slope if i dont have a "b" for that y=2x equation??
AND ALSO...
2. through (-2,3) and (6,1)
AND ALSO...
3. how do you graph inequalities on a ti86 calculator? shading and all?

Click here to see answer by oberobic(2304) About Me 

Question 503867: Savannah and her soccer team of 18 players are invited to the womans national game in Toronto. There are 72 seats available. Every regular priced ticket is valued at $150.00 each. However, Savannah's mother was friends with the box office guy, and received a discount of 25% off.What was the total amount of money saved(in $)?
My question:
What are two let statements, and 2 equations that represent this word problem?

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

Question 503937: elination method to solve this linear euation: 3x+7y=1
2x+9y=5

Click here to see answer by oberobic(2304) About Me 

Question 504265: solve and check
x/2+x/3=5
how do i find x??

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

Question 504229: how do you do the elimination method for this question
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales
the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on
the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
ticket and the price of a child ticket.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 504335: -4(2v-4)+8v=6+2(3v-3)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 504388: 2x+4y+16=0
I need this equation in slope-intercept form

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

Question 504497: I need your help about the applications of System of Linear Equations. This is the problem:
The sum of the digits of a two digit number is 10. If the digits are reversed, the new number is 18 less than the original number. Find the original number.

-thank you.
I'm having a hard time finding the right equation to use so please help me. :)

Click here to see answer by htmentor(1343) About Me 

Question 504623: Hi I know how to solve systems of equations, but I'm having trouble setting this one up. It is a word problem.
AMC Homes, Inc is planning to build three and four bedroom homes. Consumer demand indicates a need for three times as many four-bedroom homes as for three-bedroom homes. The net profit from each three-bedroom is $16,000 and $17,000 for each four bedroom. If the total net profit is $13.4 million how many homes of each type should they build?
Thanks for any help you might have :)

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

Question 504909: Write a system of two linear equations that has .
a) only one solution ,(5,1).
b) an infinite number of solutions .
c) no solution.

Click here to see answer by emargo19(101) About Me 

Question 505034: -4x -y+2 (x-3y) ; x=3 , y=-2
Click here to see answer by oberobic(2304) About Me 

Question 505325: A baseball team has home games on Friday and saturday. The two games together earn $ 4036.00 for the team.?
Friday's game generates $1124.00 less than saturday's game. How much money was taken in at each game?

Click here to see answer by Maths68(1474) About Me 

Question 505775: How would I figure out: Find an equation for a line with the given properties:
Equation for a line parallel to y= -2x containing the point (7,8)

thank you!

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

Question 506413: solving the equation 16x^2-1=0
Click here to see answer by xdragonfight(116) About Me 

Question 506691: Help please! How do I solve by elimination:
x-2y = -14 and 3x + 2y = 6

Click here to see answer by jennywecas(28) About Me 

Question 506694: Thanks so much for helping. How do I solve by elimination:
y = -3x + 1 and 3x + y = -1

Click here to see answer by jennywecas(28) About Me 

Question 506696: Please help!
I have to solve these equations by elimination:
#1 2x + 3y = 12 and y = 4/3x -2
#2 y = 1/2 x + 2 and y = 2x -1

Click here to see answer by jennywecas(28) About Me 

Question 506908: Evaluate: x^2-5x+3 for x=-5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 506931: solve system of equation.
x+2y+z=4
2x+y-z=-1
x-y-z=-2

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

Question 507198: solve the following equations for x and y by elimination
3x + 3y=0
2x - 2y=8

Click here to see answer by jennywecas(28) About Me 

Question 507375: Hi there,
This is my question: State how many solutions exist for each set of equations and state whether the lines are consistent or inconsistent and independent or dependent:
1) A)6x-2y=2
9x-3y=1
I have made it this far in solving the problem, but do not get what I am doing wrong:
-- 9x-3y=1=>9x=1+3y
-- 6x-2y=2 => 15(1+3y)-2y =2
-- 15+45Y-2y=2
-- 43/43y = -13/43
-- Y = ??
I understand that you must use substitution, for example if it were x+y=9 then it would be x=9-y. However I've only ever done it with just a singe Variable. I do not know what to do since this question has a "9x"... do I add the "9x" to the 6x? creating 15x? I hope you understand and see where I went wrong. Thank you in advance for answering my question.

Click here to see answer by scott8148(6628) About Me 

Question 507436: Determine the value of k for which the system of linear equations has no solution.
4x - y = -16
16x + ky = 11

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 507470: x=y,2x + 2y =120

Please help mee
Thanks in advance!:)

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

Question 507468: by substitution:
1. y=3x
y-x=30
2. x=y
2x+2y=120

Please help meeee. :)

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

Question 507642: -10=xy+z for x
Click here to see answer by Fombitz(32388) About Me 

Question 507422: Pure acid is to be added to a 10% acid solution to obtain 54L of a 20% acid solution. What amount of each should be used?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 507933: how do i put 5-y = -3x into standard form (ax+ by= c)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 508070: 15x = 5y + 20 Write the equation of the line in slope-intercept form and identify the slope.

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

Question 508076: -8x + 8y = -10 Write the equation of the line in slope-intercept form and identify the slope.

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

Question 508201: solve by the elimination method
3x-2y=7
-x+5y=2

Click here to see answer by oberobic(2304) About Me 

Question 507952: i'm having trouble putting this into an equation, thank you in advance!! i really need help...
In 1962, Wilt Chamberlain set an NBA single-game scoring record. He scored 64 times for a total of 100 points. He made no 3-point shots, but he made several free throws worth 1 point each and several regular shots worth 2 points each. how many free throws did he make? How many 2-point shots did he make?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 508357: Can you please help me solve this one...
Find the x and y intercepts of this equation: -7x + -3y = -21

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

Question 508369: Solve the equations using elimination & substitution method :
Please show the complete solution.Thank You. Urgent here. Please.Thanks again .
5x-2y=20
x+3y=-10

Click here to see answer by Maths68(1474) 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