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

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Question 272183: Adult ticket $5 student ticket $3 Ben collected $180 for the 50 tickets he sold. How many adult and student tickets ded he sell? show all work?
Click here to see answer by stanbon(75887)

Question 272201: If you double Lisa's age and then subtract 6, you get Paul's age. 2 years ago, the sum of their ages was 29. How old is each person?
Click here to see answer by mananth(16946)

Question 271706: solve by elimination
5x + 5y = -13
7x - 2y = 17
Click here to see answer by Alan3354(69443)

Question 272379: Solve using any method! y=-0.7x+6.9
y=1.2x-6.4
Click here to see answer by checkley77(12844)

Question 272377: Solving using the substitution method:
8x - 5y = -47
4x + 3y = -7
I got some help from the site, but I dont know how it derived to that answer. When doing it long hand, I couldn't get the same results.
Expressing x as a function of y (from the first equation) x = (-47 +5y)/8
Substituting this expression into the second equation:
4(-47-5y)/8+3y = -7
Simplifying this expression:
44y = 132 or y = 3
Now, substituting y = 3 back into the x expressed as a function of y:
x = (-47+5y)/8 = -4

Click here to see answer by scott8148(6628)

Question 272564: the length of a rectangle is 5 units longer than its width. The perimeter of this rectangle is 74cm. determine the length and the width of this rectangle.
Click here to see answer by oberobic(2304)

Question 272603: x = 4y + 5
x - 3y = -2
Click here to see answer by stanbon(75887)

Question 272598: The cost to run machine 1 for an hour is $2. During that hour, Machine 1 produces 240 bolts and 100 nuts. The cost to run machine 2 for an hour is $2.40. During that hour, Machine 2 produces 160 bolts and 160 nuts. With a combined running time of no more that 30 hours, how long should each machine run to produce an order of at least 2080 bolts and 1520 nuts at the minimum operating cost?
I can't figure out the proper equations to graph.
Click here to see answer by stanbon(75887)

Question 272602: x = 4y
2x + 3y = 44

Click here to see answer by unlockmath(1688)

Question 272861: how do you solve
10x+2y+1z=885
5x+4y+1z=865
9x+6y+6z=1410
Click here to see answer by jim_thompson5910(35256)

Question 272859: how do you solve
2x=3y-z=17
y=-3z-7
2x=z+2
Click here to see answer by checkley77(12844)

Question 272858: how do you solve
x+y+z=-54
x=-6y
z=14y
Click here to see answer by checkley77(12844)

Question 272796: Create a system of linear equations from the following information. I jog four times a week, and do static runs (intervals) three times a week. The number of miles I run depends on the number of static runs I complete. For instance, I run 2 miles each time I jog and then on my interval days, I run an additional half mile after each static workout, (I normally complete four static workouts each interval day).
...
So I guess the miles I run, (M) = 2 + .5X the number of static runs I complete (s). So it would be written as M = 2 + .5s Where M = the miles I run and s = static workouts. How many miles do I run each week? Create a system of linear equations.
Click here to see answer by richwmiller(17219)

Question 272976: x + y = -2
2x - y = 5
Click here to see answer by stanbon(75887)

Question 273079: I'm having trouble. I solved for y not x. It was:
2x+y=5
1x-2y=4
I ended up doing this:
2x+y=5
-2x -2x
________
y=5-2x
etc. what did i do wrong?
Click here to see answer by edjones(8007)

Question 273323: 2/3x-1/6=x/9
Click here to see answer by stanbon(75887)

Question 273664: Solve the system of equations and enter the solution as an ordered pair.
4x - 7y = -23
8x + 5y = 49
Click here to see answer by richwmiller(17219)

Question 273702: 3x-2y=2
5x-5y=10
x=?
y=?
Not sure where to start at.
Click here to see answer by solver91311(24713)

Question 273711: Solve the system of equation by graphing. Im lost.
x+y=7
x-y=-5
Click here to see answer by solver91311(24713)

Question 273560: Safety rent a truck rents a truck at a daily rate of 41.95 plus 29 cents per mile city rentals rents the same size truck for 38.95 plus 31 cents per mile for what mileage is the cost the same
Click here to see answer by ankor@dixie-net.com(22740)

Question 273818: Solve a system of four linear equations and four variable:
2x+4y+2z+3w=-7
-3x-2y+5z+4w=11
4x-3y-2z-3w=11
-2x+3y-5z-4w=-16
Click here to see answer by Alan3354(69443)

Question 273972: find the slope if it exist
x=-5
Click here to see answer by Tobiasz(54)

Question 273972: find the slope if it exist
x=-5
Click here to see answer by richwmiller(17219)

Question 273918: The sum of the page numbers on two facing pages is 245. The product of the numbers is 15006. What are the page numbers?
Click here to see answer by Alan3354(69443)

Question 274231: Solve the system of linear equations.If the system has infinite number of solutions,give three solutions.
3x-y=2x-7
2x+5=2y-9
Thank you so much for your help!
I can't find 3 solutions.
Click here to see answer by checkley77(12844)

Question 274439: Here is my problem.
The perimeter of the rectangle is 24 and the perimeter of the triangle is 23
Here are the sides of the rectangle:
side 1- x
side 2- 3y
side 3- x
side 4- 3y

here are the sides of the isosoles triangle:
side 1- x+1
side 2- x+y
side 3- y+6
Write a system of linear equations to represent this problem.
How would I do that?
Click here to see answer by stanbon(75887)

Question 274486: perimeter of a triangle
The perimeter of the triangle shows the accompanying figure 12 meters
Determine the value of x, x+1, x+2 by solving the equation
x+(x+1)+(x+2)=12
Click here to see answer by anantha(86)

Question 274595: 2x - 12y
Click here to see answer by Alan3354(69443)

Question 274733: how do i solve the linear equation 3x+y=20 2x+2y=24

Click here to see answer by checkley77(12844)

Question 274750: 7. How do you solve this equation?What happens to the graph of the line y = 2x - 5 when the equation is changed to y = 5x + 6?

Click here to see answer by checkley77(12844)

Question 274749: 6. I need help solving this equation.What happens to the graph of the line y = 3x -2 when the equation is changed to y = 3x +6?
Click here to see answer by checkley77(12844)

Question 274747: I need help solving this problem.You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.
The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why?

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

Question 274864: Solve by elimination method
9/2x-4y=-3
4/3x-1/2y=7/6

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

Question 274912: solve by substitution method
3x + 8y = 4
12y +6x = -1
Click here to see answer by JBarnum(2146)

Question 274925: Solve using the elimination method:
y=2/5 x-7,
y=2/5 x+4

Click here to see answer by JBarnum(2146)

Question 274922: solve using the substitution method:
2(x-y)=3+x,
x=3y+4
Click here to see answer by user_dude2008(1862)

Question 274930:
A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold?
Click here to see answer by checkley77(12844)

Question 274919: y=1.2x-32.7,
y=-0.7x+46.15
Click here to see answer by edjones(8007)

Question 274919: y=1.2x-32.7,
y=-0.7x+46.15
Click here to see answer by checkley77(12844)

Question 274940: A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns?.
Click here to see answer by josmiceli(19441)

Question 275008: Using the addition method
7x-4y=14
-7x+6y=11
Click here to see answer by jim_thompson5910(35256)

Question 274981: What is the slope-intercept equation for the line below?
(4,1)
(0,-4)
Click here to see answer by jim_thompson5910(35256)

Question 275255: Andrew and Joseph took a trip to Vintage Vinyl Record Store at the store Andrew bought 6 records and 3 CDs for a total of $85.23. Joseph bought 4 records and 3 CDs for a total of $67.81

please help me write and solve a system of linear equations to find the cost of an individual record and an individual CD?
thank you!
Click here to see answer by stanbon(75887)

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