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

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Question 275278: in your pocket you have a total of $3.55 in both quarters and dimes. you have a total of 22 coins in your pocket, only quarters and dimes. Write and solve a system of linear equations to find how many quarters and how many dimes you have in your pocket.
i don't see that there is enough information,so i don't know what to do with the numbers...can you please help me?

Click here to see answer by Greenfinch(383) About Me 

Question 275277: 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 Greenfinch(383) About Me 

Question 275301: A goldsmith has 2 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 stanbon(75887) About Me 

Question 275305: An isosceles triangle in which angles B and C have the same measure. Find the measure of each angle whose degree is represented with variables.
A= 4x + 2y
B= 9y - 2
C= 10x + 10
The assignment calls for setting it up as a system of equations and solving the problem. I have no idea where to even begin.
I tried something like 4x + 2y = 180- 9y -2 + 10x + 10
that definately was not right! Lol!
I would appreciate any help.

Click here to see answer by Greenfinch(383) About Me 

Question 275331: On a bus trip Frank is flying from new york to london,which are 3600 miles apart. With the wind current the flight there only takes 6 hours. On the return trip the flight takes 8 hours against the wind. Write and solve a system of linear equations to determine the airspeed and the wind speed.
please help me solve this word problem
thank you very much! (in advance)

Click here to see answer by stanbon(75887) About Me 
Question 275331: On a bus trip Frank is flying from new york to london,which are 3600 miles apart. With the wind current the flight there only takes 6 hours. On the return trip the flight takes 8 hours against the wind. Write and solve a system of linear equations to determine the airspeed and the wind speed.
please help me solve this word problem
thank you very much! (in advance)

Click here to see answer by Greenfinch(383) About Me 
Question 275331: On a bus trip Frank is flying from new york to london,which are 3600 miles apart. With the wind current the flight there only takes 6 hours. On the return trip the flight takes 8 hours against the wind. Write and solve a system of linear equations to determine the airspeed and the wind speed.
please help me solve this word problem
thank you very much! (in advance)

Click here to see answer by dabanfield(803) About Me 

Question 275222: How to Solve
2/3x- y+-4
-5x+y= -9

Click here to see answer by dabanfield(803) About Me 

Question 275521: if x is an integer and -17/3 < x < 20/3, how many integers are there in the interval?
Click here to see answer by Theo(13342) About Me 

Question 275482: -9 + 4x < 2x - 3
Solve using the addition and multiplication principles.


Click here to see answer by checkley77(12844) About Me 

Question 275993: can you please answer my question?
Graph the system of linear equations.
Does the system have exactly one solution no solution or infinitely many solutions?
+2x%2By=5
-6x-3y=-15

Click here to see answer by richwmiller(17219) About Me 

Question 276171: Write an equation for the line described. Write the equation in the form specified. Parallel to y=-2, though (8'4)
Would the answer be y=4

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

Question 270496: Please explain this linear equation:
If x + y = 15 and x -y = -19 then xy = ?
Thanks,
Jesse Evans
jesseevans@hughes.net

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

Question 276359: Four times the difference of a number and one is equal to six times the sum of the number and three. Find the number.

Thank you!

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

Question 276460: can someone please breakdown the process of elimination in algerbra???? here is an example the teacher gave me please help me break this down so I can understand how the teacher got this answer 5x+3y =_11 and 7x-2y=19 the teacher says that this is the answer ( 35/31 -172/31) how did he get this?
Click here to see answer by checkley77(12844) About Me 

Question 276169: What is the range and domain of the linear regression line y=3.8x+4.5
Click here to see answer by user_dude2008(1862) About Me 

Question 276659: System of Linear Equations and Problem Solving:
Can someone show me how to set with this word problem please?
An airplane traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

Click here to see answer by richwmiller(17219) About Me 

Question 276676: Systems of Linear Equations word problem:
Can someone tell me how I set up this word problem please?
A boat traveled 27.5 mph with the current and 12.5 mph against the current. Find the speed of the boat in (still) water and the speed of the current?

Click here to see answer by richwmiller(17219) About Me 

Question 276604: I wasn’t sure if you would be able to help me with this because you cant see the diagram that I have, but I will try to explain it the best that I can.

The diagram represents weights on a see-saw. The weight labeled 10 is on the left side, the weight labeled 4 is on the right side, the variable y is on the left side and the variable x is on the right side. The distance between the weights is 21.
a) Write a system of equations for the diagram.
b) Solve the system to find x and y.

I know this is asking a lot, but I appreciate any help/advice you can give me. Thank you so much.

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

Question 276706: Systems of Linear Equations word problems:
Find how many ml of 3% acid solution and 7% acid solution should be mixed to yield 120ml of 5% acid solution.
My answer is 60ml of each solution. Is this correct?

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

Question 276812: hello?
Click here to see answer by Alan3354(69443) About Me 

Question 276908: what are the slope and the y-intercept of the graph of the equation 4x-2y=5?
Click here to see answer by solver91311(24713) About Me 

Question 277132: solve by the substitution method
9x+4y= -24
x=20-8y

Click here to see answer by CharlesG2(834) About Me 

Question 277201: qhT IS THE EQUATION LINE THAT PASSES THROUGH (-4,4) AND (8,8)
Click here to see answer by JBarnum(2146) About Me 

Question 277245: The perimeter of a rectangle is 12 meters. Its length is twice its width. Find the dimensions of the rectangle.
Click here to see answer by checkley77(12844) About Me 

Question 277287: the sum of 3 times one number and twice a second is -1. the ratio of twice the first to 3 times the second is -4:3. what are the numbers?

so i know the first equation is 3x+2y=-1 and i can get multiple solutions, but none of them fit the second part what do i do?

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

Question 276088: I'm having trouble figuring out this lesson in my algebra class, I am taking an online course, and it isn't giving me clear enough information. If you could please help me I would really appreciate it, thank you.
Click here to see answer by Alan3354(69443) About Me 

Question 277802: For The Equation y=2(x)+15,and y=4x+7. Find an x-value that gives the same y-value for both equations
Click here to see answer by checkley77(12844) About Me 

Question 277798: A cellular phone company offers a contract for which the cost C in dollars,of t minutes if telephoning is given by C=0.25(t-300)+59.95, where it is assumed that t>300 minutes. What times will keep costs between $107.70 and $125.70?
Click here to see answer by checkley77(12844) About Me 

Question 277857: {6x+4y=12
{2y=6-3x
graph and classify each system. Then find the solution from the graph

Click here to see answer by richwmiller(17219) About Me 

Question 277864: the sum of the length of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 7 inches and a second side is 2 inches less then twice the third side. what are the possible lenghts for the second and third sides?
Click here to see answer by edjones(8007) About Me 

Question 277922: I am not sure how to work these three problems :
For the systems of linear equations in questions 1-3
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
1.y = 2x + 3 and y = -x - 4
2.2x + 3y = 8 and 3x + 2y = 7
3.2x + 3y = 8 and 3x + 2y = 7

Click here to see answer by nabla(475) About Me 

Question 277788: Snookers Lumber can convert logs into either lumber or plywood. In a given day,the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a Unit of lumber and $45 on a unit of plywood. How manyof each unit must be produced and sold in order to make a profit of 16665.?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 278155: hello
how would i solve this linear system using the cramers rule?
4x-7y-7z= -26
3x-7y-9z=-26
-9x-5y-2z= -51
this is what i have done but it seems wrong
i get that d = -145
dx = -1939/ -145
dy = 1175/-145
dz = -1428/-145
this answers seem to work only with the first equation.

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

Question 278183: 4.00x + 6.00y = 2340
x + y = 480

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

Question 278248: 4x-2y=4
-20x+10y=-20
is there no solution and does the graph only intersect at 1 point so the solution is unique?

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

Question 278160: How do you solve this three variable equation?
d + e - f = 11
f + d + 5 = e
2e - 12 = f

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

Question 278302: The degree measure of one of two supplementary angles is 6 more than one half that of the other. What are the degree measures of the angles?
Click here to see answer by Grinnell(63) About Me 

Question 278341: i am currently doing a section on this in my class called sloving linear equations by graphing and i dont understand how u do it can u help me?
Click here to see answer by Theo(13342) About Me 

Question 278319: SOLVE BY ELIMINATION METHOD
3X+2Y=-3
8X-2Y=-52

Click here to see answer by JBarnum(2146) About Me 

Question 278338: x-y=5
x-y=3

Click here to see answer by JBarnum(2146) About Me 

Question 278409: directions state:
graph each linear equation in two variables & find three solutions in your table of values for equation.
y=-1/2x

Click here to see answer by JBarnum(2146) About Me 

Question 278510: Solve for X and Y, two system equation:
Equation1 4X+Y=17 Equation2 2X+3Y=21

Click here to see answer by checkley77(12844) About Me 

Question 278562: Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.
x-intercept = 3 and y-intercept = 2


Click here to see answer by nyc_function(2741) About Me 

Question 278588: how many liters of pure hydrochloric acid must be added to 60 liters of a solution that is 10% hydrochloric acid to get a solution that is 15% hydrochloric acid?
Click here to see answer by nyc_function(2741) 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