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

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Question 318720: x-y=2
x+y=6
Click here to see answer by cygnewhite8(4)

Question 318870: A car is traveling on a highway at 70 miles per hour. The distance in miles from it's destination is 385 miles.
a) Does the relation between the number of miles from the car's destination and the time in hours traveled represent a linear function? I answered "yes"
b) If so, what are the input/output variables?
input ____________ output _____________
Click here to see answer by rfer(16322)

Question 318981: How much money does Brad earn for a 4-hour shift?
Click here to see answer by unlockmath(1688)

Question 318969: Explain whether the equation 3(x � 1) + 5 = 15x + 7 � 4 � 4(3x +1) + 3 has infinitely many
solutions, one solution, or no solutions?

Click here to see answer by Fombitz(32388)

Question 318971: step by step please
0.7-0.4=0.16
Click here to see answer by Fombitz(32388)

Question 319071: VIJAY IS OLDER THAN HIS SISTER SEEMA BY TWO YEARS.FOUR YEARS AGO VIJAY WAS FOUR TIMES AS HIS SISTER. FIND THIER AGES?
Click here to see answer by Fombitz(32388)

Question 318064: How could you cut a 50-meter rope into three pieces- two the same length and the third, 8 meters longer then the other two?
Click here to see answer by Fombitz(32388)

Question 319279: x-y=4
x+y=2
Click here to see answer by nyc_function(2741)

Question 319557: Using the elimination method, how would you solve the following
5x+5y=13
7x-2y=17
Click here to see answer by Alan3354(69443)

Question 319559: Solve the system of equations:
x + 2y = 3
4x + 5y = 6
Click here to see answer by stanbon(75887)

Question 319559: Solve the system of equations:
x + 2y = 3
4x + 5y = 6
Click here to see answer by msladyg32(1)

Question 319567: solve each system of equations algebraically
5x-2y=20
2x+3y=27
Click here to see answer by user_dude2008(1862)

Question 319644: Solve by the substitution method
7x+5y=-51
x=-2-6y
answer is no solution.......Is this correct?
Click here to see answer by Alan3354(69443)

Question 319708: 2(x-4)<3x+8
Click here to see answer by rfer(16322)

Question 319710: 2x-4y=6 and 4x+y=21 work addition method and is it independent, inconsistent or dependent.
Click here to see answer by jim_thompson5910(35256)

Question 319716: y=2x-5 and y+1=2(x-2)addition method and is it independent, dependent or inconsistent.
x+y=4 and x-y=5 addition method is it independent, dependent or inconsistent.

Click here to see answer by jim_thompson5910(35256)

Question 319798: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance in which a linear equation is not a function?
Click here to see answer by stanbon(75887)

Question 319799: How do you create an equation of a nonlinear function with two inputs?
Click here to see answer by stanbon(75887)

Question 319835: Given the linear equation:
- Find the missing coordinates of the given points. Show your work.
- Plot those points and graph the linear equation. Submit your graph through the dropbox.

3x - 8y = 24

(0, ), ( ,0)

Click here to see answer by rfer(16322)

Question 319830: Given the linear equation:
- Find the y-coordinates of the given points. Show your work.
- Plot those points and graph the linear equation. Submit your graph through the dropbox.

y = x + 3

(0, ), (2, ), (-2, )

Click here to see answer by rfer(16322)

Question 319832: Given the linear equation:
- Find the missing coordinates of the given points. Show your work.
- Plot those points and graph the linear equation. Submit your graph through the dropbox.

2x + 5y = 10

(0, ), ( ,0)

Click here to see answer by rfer(16322)

Question 319929: 4x-4y=12 simplified?
Click here to see answer by checkley77(12844)

Question 319928: 4x-4y=12 simplified?
Click here to see answer by checkley77(12844)

Question 320080: y-3x=a
3x-y=2
what is a to make these equation a dependent system of linear equation
Click here to see answer by stanbon(75887)

Question 320039: Find an equation of the line. Write in standard form. Through (-3,-9); parallel to y=4

Find an equation of the line. Write in standard form. Through (-4,-10); perpendicular to y=6
How would i solve these to equations?
Click here to see answer by checkley77(12844)

Question 320145: Multiply
-4/9 * -6/7
Thank you
Click here to see answer by rfer(16322)

Question 320285: how do you get y by itself
Click here to see answer by Edwin McCravy(20056)

Question 320265: -2x + 4y = 16?
Click here to see answer by Alan3354(69443)

Question 320394: Basic Rental is $50.00 a day and 20 cents a mile and Roadrunner rental is $20.00 a day and 50 cents a mile. How many miles must be driven for Basic rental to be a better deal than Roadrunner?
Click here to see answer by checkley77(12844)

Question 320346: how do I work this problem?
solve by the substitution method
6x+5y+18
x=28-5y
Click here to see answer by Fombitz(32388)

Question 320418: what is the solution and answer to this system equations -1=3x=7y and 3=2y=5x
Click here to see answer by Fombitz(32388)

Question 320525: Can you think of the one linear equation that will not be a function because one x value will correspond to multiple y's?
Click here to see answer by solver91311(24713)

Question 320532: X+1>6
Click here to see answer by unlockmath(1688)

Question 320615: Solve the following systems of equations using any method.
( a ) x + 4 y = - 5
2 y + 3 x = 5
( b ) 2x-1/3y=1/3
3(x+1)-2(y-3)=11
( c ) 2.4 x = 2.2 y � 3.2
1.6 x + 1.2 y = 3.2

Click here to see answer by solver91311(24713)

Question 320609: 1.Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work. (2 marks each)
( a ) 4 x � y = 5
y = 4 x + 6

( b )3x + 2y = 5
15x + 10y = 25

2. How can you tell by looking at an equation whether it has one, none or infinite solutions?
Click here to see answer by solver91311(24713)

Question 320621: Solve the following systems of equations using any method.
( c ) 2.4 x = 2.2 y � 3.2
1.6 x + 1.2 y = 3.2
Click here to see answer by mananth(16946)

Question 320618: Solve the following systems of equations using any method.
(b) 2x-1/3y=1/3
3(x+1)-2(y-3)=11
Click here to see answer by mananth(16946)

Question 320611: It took Terry 7 hours to drive the 390 km from Cold Bay to Hot Lake. For the first part of the trip he averaged 60 km/h, but was forced to slow down for the remainder of the trip to 50km/h.How many hours did Terry spend driving at each speed?
Click here to see answer by mananth(16946)

Question 320632: 8. It took Terry 7 hours to drive the 390 km from Cold Bay to Hot Lake. For the first part of the trip he averaged 60 km/h, but was forced to slow down for the remainder of the trip to 50km/h.
(a) How many hours did Terry spend driving at each speed?

Click here to see answer by mananth(16946)

Question 320702: Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work.
4 x � y = 5
y = 4 x + 6
Click here to see answer by Fombitz(32388)

Question 320827: Solving each systems by substitution. Determine whether the equations are independent,dependent, or inconsistent.
y = -3x + 19
y = 2x - 1

Click here to see answer by Alan3354(69443)

Question 321022: 6(z + 8) -3z = 24
Click here to see answer by Fombitz(32388)

Question 321375: I have a question in slopes and graphs of linear funtions, and it is
Graph the line that passes through the point (-3,0) and has slope -3
Click here to see answer by Alan3354(69443)

Question 321428: Hi: I wondered if you could check this problem for me...
Solve each system by the addition method. 1/3x -1/6y = 1/3 1/6x+1/4y = 0
This is what I've got, but I'm not sure it's correct...
I started by multiplying both equations by their LCD to get rid of all the fractions.
1/3x � 1/6y = 1/3
(6)1/3x � (6)1/6y = (6) 1/3
2x-1y=2
So our first equation is 2x-1y=2
I simplified the second equation by multiplying it by 12:
1/6x+1/4y=0
(12)1/6x+(12)1/4y=(12)0
2x+3y=0
The second equation is 2x+3y=0
Now our two equations are:
2x-1y=2
2x+3y=2
I multiplied the second equation by -1 to eliminate one of the variables:
(-1)2x+(-1)3y=(-1)0
-2x-3y=0
Added the two equations together and solved:
2x-1y=2
-2x-3y=0
-4y= 2
-4 -4 Reduce the fraction
y= -1/2
Let�s plug this value for y (-1/2) back into the second original equation:
1/6x+1/4(-1/2)=0
1/6x-1/8=0 Let�s multiply this equation by 24 (the LCD) to get rid of fractions
(24)1/6x-(24)1/8=(24)0
4x-3=0
+3 +3
4x= 3
4 4
x= �
So, the final solution is (3/4,-1/2)
Because this system only had one solution, this line is independent.
Thanks in advance for your help.

Click here to see answer by scott8148(6628)

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