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

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Question 186280: Solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. y = 2x and Y = -x + 6
Click here to see answer by Alan3354(69443)

Question 186418: An Airplane flew for 4 hours against headwind of 40 km/h. On the
return flight the same wind was now a tail wind, and the flight took 3
hours. Find the speed of the airplane in still air
Click here to see answer by stanbon(75887)

Question 186461: Three brothers, Philip, Rafael and Brian live in a house. Philip can clean the hoouse twice times as fast as Brian. Rafael can clean the house in 8 hours. All three together, can clean the house in 2 hours. How long would it take Brian to clean the house.
Click here to see answer by stanbon(75887)

Question 186554: the length of a fence required to enclose a rectangular field is 3000 meters. what are the dimensions of the field if it is known that the difference between the length and width is 50 meters?
Click here to see answer by checkley77(12844)

Question 186460: blake travels in a boat 200 miles downstream in the same time that it takes to go 120 miles upstream. If the speed of the stream is 5 mph, find the speed of the boat in still water
Click here to see answer by checkley77(12844)

Question 186561: a movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. one day the theatre sold 405 tickets and collected $2320 in receipts. there were twice as many children's tickets sold as adult tickets. how many adults, children, and senior citizens went to the theater that day?
Click here to see answer by stanbon(75887)

Question 186570: solve the system of equations using matrices( row operations). if the system has no solution, say that it is inconsistent
1/2x + y= -2
x -2y= 8
Click here to see answer by stanbon(75887)

Question 186595: x+y=8
3x=y
Click here to see answer by stanbon(75887)

Question 186643: in elmination how would i solve this:x+2y=-9
4x+2y=6
Click here to see answer by nerdybill(7384)

Question 186654: solve this ? (:
thanks !?
Click here to see answer by Alan3354(69443)

Question 186684: half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18. find the number
Click here to see answer by jim_thompson5910(35256)

Question 186710: please help me solve this: Solve these problems by elimination
1)3x-y=26 x+y=10
2)135x+45y=-11 81x-75y=13
3)x+2y=3 2x+4y=6
4)3x-5y=50 2x+4y=-18
Click here to see answer by checkley77(12844)

Question 187018: 10+x dividid 40+x find the value of x?
or
10+x
---- =?
40+x
Click here to see answer by rapaljer(4671)

Question 187101: Extrememly confused, help please!
Solve each system in three variables
14)2x-y+3z=14
x+y-2z=-5
3x+y- z=2

18) x-3y+2z=-11
2x-4y+3z=-15
3x-5y-4z=5
Click here to see answer by stanbon(75887)

Question 187098: CAN SOMEONE HELP ME WITH THIS PROBLEM? I AM A MATH DISASTER AND CANNOT FIGURE OUT HOW TO FIGURE THIS OUT? THANKS SO MUCH!
Different growth rates. The combined population of Marysville and Springfield was 25,000 in 2000. By 2005 the population of Marysville had increased by 10%, while Springfield had increased by 9%. If the total population increased by 2380 people then what was the poulation of each city in 2000?
Can anyone help me solve this problem by substitution

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

Question 187557: Can you help me solve this linear equation. please multiply and simplify and please show work.

(2x-5y^2)
Click here to see answer by solver91311(24713)

Question 187604: Factor the expression.
64x^6+y^6
(8x^2)^3+(y^2)^3
(8x^2+y^2)(8x^4-8x^2y^2+y^4)
Did I do this right?
Click here to see answer by user_dude2008(1862)

Question 187648: Draw a graph of the line passing through the points(-6,-7) and(-3,-5).Does the
point (3,-1)also lie on this line?

Click here to see answer by nerdybill(7384)

Question 187645: Solve for x and y graphically.
4x+2y=0
x-5y=-11
Click here to see answer by checkley77(12844)

Question 187752: Solve the system by the addition (elimination) method.
2x+y=7
3x+y=12
Click here to see answer by jim_thompson5910(35256)

Question 187853: Find the value of x if y= -14, m = -2, and b = -2 in the formula y = mx + b.

Could someone please help me solve this problem step by step, I know the awnser is x=6. Thank You
Click here to see answer by jim_thompson5910(35256)

Question 187937: i want to solve thisimultaneous equation 5x-5y=5,4x-3y=25
i took the first equation x=5+5y/5 and them
4(5-5y)/5-3y=25
i don�t understand the siplpification
Click here to see answer by checkley77(12844)

Question 187999: Solve each system of equations.
4x - 2y + 6z = 5
2x - y + 3z = 2
Click here to see answer by Alan3354(69443)

Question 187990: 3x - 4 = 10 for y
Click here to see answer by Alan3354(69443)

Question 188008: is y = 1/3x + 5 a linear equation when y=-3x + 5 is a linear equation?
Click here to see answer by solver91311(24713)

Question 188021: __
V = IIr^2h for h

the __ is suppossed to be a squiggly mark with two marks below it. and the 2 is squared
Click here to see answer by Alan3354(69443)

Question 188088: In recent decades, the percentage of the U.S. population age 16 and over that is in the work force has risen at a roughly constant rate, from 59.4% in 1960 to 66.6% in 2002.
I need to find the equation describing the relationship. I believe I need to find the slope first. Which is the change in y1-y over x1-x. But I' don't know how to express this.
Please help me find the equation.
tom.
Click here to see answer by stanbon(75887)

Question 188101: Solve the following systems of equations:

2x - 2y - 2z = -2
-x + y + 3z = 0
-3x + 3y - 2z = 1
Click here to see answer by stanbon(75887)

Question 188139: I'm having difficult time doing word problems for applications of linear equations.
The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of pages in the U.S. tax code and the King James Bible is 21,472. Determine the number of pages in each.
Thanks for any help you can give me.
Click here to see answer by stanbon(75887)

Question 188149: can you PLEASE help me!

Solve the systems of linear equations using the substitution method:
x=y/2
4y=3x-5
Click here to see answer by Alan3354(69443)

Question 188149: can you PLEASE help me!

Solve the systems of linear equations using the substitution method:
x=y/2
4y=3x-5
Click here to see answer by Mathtut(3670)

Question 188147: can you help me solve this :
Convert this linear equation into standard form:
y=4/3x-10
Click here to see answer by Mathtut(3670)

Question 188165: ca you please help me ..
Convert this linear equation into slope-intercept form?
.5x+y=12
thank you so much!
Click here to see answer by vleith(2983)

Question 188169: -4(a+1)-3a=-7(2a-3)

Coul someone show me how to work this out on paper
Click here to see answer by checkley77(12844)

Question 188170: A number increased by 2 thirds of the number 35 is?
Could someone show me how to work this out on paper
Click here to see answer by Alan3354(69443)

Question 188185: im having troubles with this problem.

it says to Solve the systems of linear equations using a graphing method

y=2x-13
y=-3x+7
Click here to see answer by solver91311(24713)

Question 188186: can i have help solving
Solve the systems of linear equations using a graphing method
4x+2y=8
y=-2x+6
Click here to see answer by solver91311(24713)

Question 188181: can you please help me :
convert this linear equation to standard form?

y=1/2x-2/3
Click here to see answer by ankor@dixie-net.com(22740)

Question 188167: 2(x+6)= x -5
_____
3
or 2(x+6)/3= x-5
Could someone show me how to work this out on paper

Click here to see answer by jim_thompson5910(35256)

Question 188197: please help me solve this equation for x and y:
3x+7=2y
-2y-1=10x
Click here to see answer by dukesmart(20)

Question 188142: I have a word problem need help on.
In 2007, there were 13,300 student at college A, with a projected enrollment increase of 1000 students per year. In the same year, there were 26,800 students at college B, with a projected enrollment decline of 500 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time?
Thanks for your help.
Click here to see answer by dukesmart(20)

Question 188234: can you please help me step by step through this problem ?
Solve the systems of linear equations using a graphing method for questions :
y=2x-13
y=-3x+7
Click here to see answer by solver91311(24713)

Question 188220: I have two lines for a system of linear equations. They are y= -3/2x -215. and y= 7x +1026. I thried and I got x is -73/2 and y is 254.24. When I plug it in to check it they did not equal each other. Thank you for helping and any help you give would be great.
Click here to see answer by checkley77(12844)

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