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

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Question 415423: I need help with figuring out how to work these types of problems. Step by step. For example, here are two examples of problems I need help understanding how to work.
Solve - -2(-1-3y)=7y
solve 7(6=w)=6(2+w)
I know the goal is to get the variable by itself but I am confused. Please advise. Thanks!

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

Question 415469: How would you do a linear system that has one equation with a fraction, using the elimination method? Such as the following: 3/2x + y= -5/2
4x + y= -5?
Your help is much appreciated.

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

Question 415485: The formula h=vt-16^2 models a football being kicked into the air where h is the height of the ball in feet above the point at which it is kicked and t is the time in seconds. If the initial velocity, v of the kick is 48 feet per second, how long will the ball remain in the air before returning to the ground?
Sketch graph and lable the zero points with x & y coordinates.

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Question 415598: Tell whether the following system has one solution, infinitely many solutions or no solution:
x= -7y+34
x+7y=32

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Question 415634: how do i solve algebraically for x: (1/x+3)-(2/3-x)=(4/x^2-9)?
Click here to see answer by lwsshak3(11628) About Me 

Question 415675: Solve by using the elimination method:
5x + 6y=5
10x + 12y=10

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

Question 415705: how do i solve y=-x
also how do i solve x=3y?

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Question 415705: how do i solve y=-x
also how do i solve x=3y?

Click here to see answer by Gogonati(855) About Me 

Question 415775: In the following system of equations, what does x equal?
8x - 8y = 16
4x + 4y = -72

Click here to see answer by ewatrrr(24785) About Me 

Question 416153: how do i solve this?
4x+3y=31
-12x-9y=-93

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

Question 416415: Solve 3x+y=-3 and y=x+5 by using substitution. Express your answer as an ordered pair.
A)( -2,3)
B) (-8/3,-3)
C) (3,-2)
D) (-4/3,1)

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

Question 416975: Solve using the substitution method
x + 4y = 2; 6x + 5y = -12

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Question 416975: Solve using the substitution method
x + 4y = 2; 6x + 5y = -12

Click here to see answer by Gogonati(855) About Me 

Question 416973: Solve using the substitution method
x + y = -4; y = 3x + 2

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

Question 416996: I am having alot of trouble with this problem. plz help
3y+x=-1
x=-3y

Click here to see answer by ewatrrr(24785) About Me 
Question 416996: I am having alot of trouble with this problem. plz help
3y+x=-1
x=-3y

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

Question 417457: Solve for A B C:
4a+7b=1
8a-2c=-38
6b-2c=20
How do I begin to do this?

Click here to see answer by ewatrrr(24785) About Me 

Question 417464: x-y=8
x+y=-2

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Question 417614: Please answer this problem using systems of linear equations in three variables.
The sum of the length, width and the height of a rectangular box is 17 cm. Twice the width exceeds the height by by 1 and the sum of the length and the width is shorter than the height by 1 cm. Find the dimensions of the box.

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

Question 417680: Does this system of equations have one solution, no solutions, or an infinite number of solutions?
3x + y = 9
6x = 4 - 2y



Click here to see answer by dnanos(83) About Me 

Question 417615: Please answer this problem using linear eq. in three variables.
The sum of three integers is 18. The third integer is four times the second, and the second integer is 6 more than the first. Find the integers.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 417848: solve using substitution method
(a)y=x-7 (b) 3x+7y=5
3x-y=-1 x+4y=5
solve using elimination
3x+2y=19
x-2y=3

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

Question 417859: I have a word problem that I am not sure how to put into an algebraic equation(s):
Peter can buy a high-efficiency furnace for $2250 that costs $412 per year to operate. He may also buy a standard furnace for $1710 that costs $466 per year to operate. Find how long it will take for the two furnaces to have the same cost. If Peter intends to live in his house for 7 years which furnace should he buy? What if he wants to live in his house for 20 years?
My instructor did not cover any word problems even close to this one, so if anyone could help me with this I would appreciate it. It is due Tuesday.

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

Question 417759: A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R, and the economy model requires 1 P, 2 Q's and 2 R's.
How many radios of each type can be constructed if the total number of transistors (P's, Q's and R's) available are 2200, 3400 and 1400 respectively and all transistors must be used?

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

Question 417981: 4x + 3y = -4
4x -y = 0

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

Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

Click here to see answer by stanbon(75887) About Me 
Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

Click here to see answer by algebrahouse.com(1659) About Me 
Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

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

Question 418109: The perimeter of a rectangle is 50 cm. The length is 9 cm more than the width. What is the length and width of this rectangle?
Click here to see answer by ewatrrr(24785) About Me 

Question 418187: Could someone please help me understand how to do this equation?
-8x-25=27 2/3
I know I have to multiply by three to make a whole number so 27 2/3 becomes -83
then I believe I am supposed to add either -25 or 25 to both sides

Click here to see answer by edjones(8007) About Me 
Question 418187: Could someone please help me understand how to do this equation?
-8x-25=27 2/3
I know I have to multiply by three to make a whole number so 27 2/3 becomes -83
then I believe I am supposed to add either -25 or 25 to both sides

Click here to see answer by ewatrrr(24785) About Me 

Question 418129: How do you solve this problem?
x+y+z-w=2
3x+y-z+w=8
x-5y+2z+w=1
-x-y+z+3w=4

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

Question 418286: how do you write an equation of a line thru the given pts. in Ax+By=C form?
(4,1) (6,3)
Helpppp Pleaase!

Click here to see answer by josmiceli(19441) About Me 
Question 418286: how do you write an equation of a line thru the given pts. in Ax+By=C form?
(4,1) (6,3)
Helpppp Pleaase!

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

Question 418409: Find the slope and the y-intercept of the following linear equation.
-3x + 2y = 18

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

Question 418481: what is the solution of the system of linear equations.... y=1/2x+8 and 2x+y=18
Click here to see answer by algebrahouse.com(1659) About Me 

Question 419086: a chemist has one solution containing 30% insecticide and another solution containing 50% insecticide. How much of each solution should the chemist mix to get 200L of a 42% insecticide?
Click here to see answer by mananth(16946) About Me 

Question 419128: A wine merchant wishes to get 300 liters of wine that sells $3 per liter.She wishes to mix wines selling at $4.5, $1.5 and $2.25 respectively .She must use twice as much of the $2.25 wine as the $1.5 wine.how many liters of each should she use?

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

Question 419155: use substitution
y=5x-7
-4x=+y=-1

That is the exact problem in my text book and to use the automated part of this website can you please tell me what to put in the slots

Click here to see answer by shree840(260) About Me 

Question 419189: how do i solve this system by substitution method.
2x-5y=-1
x-3y=-3

Click here to see answer by ewatrrr(24785) About Me 

Question 419473: -x+4y=20
how to solve this equation in slope intercept form.
then find the slope y-intercept

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 419426: Find the solution to the system of equations given below using elimination by addition.
5x + 2y = -45
5x + 8y = -15



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

Question 419592: One train leaves a station heading due west. Two hours later a second train leaves the same station heading due east. The second train is traveling 15 mi/h faster than the first. Six hours after the second train leaves, the two trains are 580 miles apart. Find the rate at which each train is traveling.
Click here to see answer by mananth(16946) About Me 

Question 419840: Solve the following systems of equations:
10x + 3y = -12
5x + 4y = -16
Is this answer correct?
40x + 12y = -48
15x - 12y = 48
25x = 0 = No solution

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

Question 419934: Solve the systems by graphing
3x-2y=-24
-3x-y=6
I put them in point slope for
I think:
y=3/2x + 12
y=-3x-6
Then created a T-chart
x y
0 12
2 15
x y
0 -6
1 -9
Can you please help me? I do not understand why I am stuck....

Click here to see answer by ewatrrr(24785) 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