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

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Question 188216: what is the solution?
Solve the systems of linear equations using a graphing method
4x+2y=8
y=-2x+6:
a.no solution, parallel lines
b.(3,2)
c.(2,3)

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

Question 188265: can you please help me solve this equation?
The area on the graph, shaded for the inequality 3x+2y<5 can be described as
a.shaded below a solid line
b.shaded below a dashed line
c.shaded above a solid line
d.shaded above a dashed line

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

Question 188321: Please Help. At the end of the 2001 football season , the Cowboys and Broncos had won a total of 7 Super Bowls. The Cowboys had won 2.5 times as many Super Bowls as the Broncos. How many Super Bowls had the Cowboys won?
Click here to see answer by solver91311(24713) About Me 

Question 188387: You are choosing between 2 plans at a discount warehouse. Plan A offers an annual membership fee of $300 and you pay 70% of the manufacturer's recommended list price. Plan B offers an anual membership fee of $40 and you pay 90% of the manufacturer's recommended list price. How many dollars of merchandise would have to purchase in a year to pay the same amount under both plans? What will be the cost for each plan?
Appreciate any help you can give me. Thanks

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

Question 188386: The average life expectancy for American men born in 1900 was 55 years. Life expectancy has increased by about 0.2 year for each birth year after 1900. If this trend continues for which birth year will the average life expectancy be 91 years?
I think the answer is 2080. I just don't know how to show this in algebraic terms.

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Question 188392: A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of bookcase.
Thanks for your help.

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Question 188389: A repair bill on a sailboat came to $1603, including $532 for parts and the remainder for labor. If the cost of labor is $63 per hour, how many hours of labor did it take to repair the sailboat?
Appreciate any help you can give me. Thanks

Click here to see answer by stanbon(75887) About Me 
Question 188389: A repair bill on a sailboat came to $1603, including $532 for parts and the remainder for labor. If the cost of labor is $63 per hour, how many hours of labor did it take to repair the sailboat?
Appreciate any help you can give me. Thanks

Click here to see answer by jojo14344(1513) About Me 

Question 188464: I need help on Addition and Subtraction of Linear Equations...The problem is
3x+y=17
-1x-x=23

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Question 188144: The average life expectancy for American men born in 1900 was 55 years. Life expectancy has increased by about 0.2 year for each birth year after 1900. If this trend continues, for which birth year will the average life expentancy be 91 years?
I think the answer is 2080. I just have no idea how to put this in algebraic terms.

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

Question 188473: How do you solve this linear system using substitution?
3/8x + 3/4y = 12
2/3x + 1/2y = 13

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Question 188512: please help

0.2x+0.1=0.12x-0.06

thanks

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Question 188521: Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have.
How do you find two linear equations (y=mx+b), one that shows quantity of the coins. And one that shows the amount the coins are worth. I am suppose to use "d" and "q" to represent the dimes and quarters.
So far I got: q=dx+3 and 4.50=qx+d

Click here to see answer by solver91311(24713) About Me 
Question 188521: Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have.
How do you find two linear equations (y=mx+b), one that shows quantity of the coins. And one that shows the amount the coins are worth. I am suppose to use "d" and "q" to represent the dimes and quarters.
So far I got: q=dx+3 and 4.50=qx+d

Click here to see answer by feliz1965(151) About Me 

Question 188573: The percentage of global energy used by China exceeds Russia by 6% and the percentage of global energy used by the United States exceeds Russia by 16.4%. Combined the U.S., China, and Russia consume 40.4% of the world's energy. Determine the percentage of global energy used by each country.
Thanks for any help you can give me on this. I've been rereading and rereading problem and can't think of how to do it.

Click here to see answer by josmiceli(19441) About Me 

Question 188800: How do I solve the follwoing system of equations?
y = +sqrt+%28x%29++ 4
y = 2x + 1


Can you provide a detailed answer showing all of the steps?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 188800: How do I solve the follwoing system of equations?
y = +sqrt+%28x%29++ 4
y = 2x + 1


Can you provide a detailed answer showing all of the steps?

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

Question 188829: Solve the system of equations
+x%5E2+ + +y%5E2+ = 169
+x%5E2+ -8y = 104

Could you please prvide me with a detailed explanation of how you achieved the solution. Thanks!

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

Question 188294: Two people start driving toward each other on the same highway at the same time from towns 420 miles apart. One car travels 15 mph faster then the other. what is the rate of each other if they meet in 4 hrs.

answer: The first car travels at 60 mph; the second car travels at 45 mph.
need a full break down of how my text book got this answer

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Question 189014: describe the steps you would use to solve the inequality
7a-4<17

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Question 189014: describe the steps you would use to solve the inequality
7a-4<17

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Question 187938: 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 Alan3354(69443) About Me 

Question 189154: [This question must be solved by graphing]
My problenm is:
y=1
y=x
How do I do it. it seems simple but it is very hard

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Question 189257: A chemist has 1000g of a solution that is 40% acid. How many grams of water must be added to reduce the acidity to 25%?
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Question 189235: what is a solution for the system of equations -x%5E2%2B4x-3and y+1=x

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Question 188001: Solve each system of equatons.
3x - 4y - 7z = -5
2x + 3y - 5z = 2

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Question 189283: Could you please help me solve this system?
10m-3n=5
5m+2n=-8
I thought I could solve it easily by the addition method, but I came up with some crazy fractions and got stuck. Please help.
This is how I started:
2(10m-3n=5)
3(5m+2n=-8)
20m-6n=10
15m+6n=-24
35m=-34
This is where I got stuck. Please help!
This problem did not come from a text book, it came from a worksheet.

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

Question 189336: {5x+3y=8
{2x+4y=8
The answer given in the book is 7/4, 12/7. I cannot figure out how to get this answer

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Question 189388: find the x-intercept,y-intercept,and slope for x+y=4. sketch graph.
Click here to see answer by Mathtut(3670) About Me 

Question 189342: Plot the graph of y= x3- 1.5x2- 8.5x +4.5 from x= -4 to x= +4 at 1 unit intervals, and use the graph to solve the cubic equation x³-1.5x2 -8.5x + 4.5= 0
Click here to see answer by Alan3354(69443) About Me 

Question 189434: This problem was given in a packet of problems from a teacher preparation program I am currently undertaking. If (-3.5, y) is a solution to the equation 2x-5y=10, what is the value of y? I have the answer in an answer key is -0.6, but do not know how to figure this one out, please help by showing your steps. Thank you, Ruby
Click here to see answer by nerdybill(7384) About Me 

Question 189604: The Jurassic Zoo charges $11 for adult admission and $9 for each child. the total bill for the 206 people from a school trip was $1972. how many adults and how many children went to the zoo?

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Question 190012: Solve each system of quations below using multiplication with the addtion method.
5x-2y=4
3x-2y-5
I dont know how to start it. I think u multiply the top 5x-27=4 by 2, something like that. thats what confuses me the most.

Click here to see answer by jojo14344(1513) About Me 

Question 190428: I need some help with solving direct and indirect variations.
The problem I have is how to set them up.
The problem is:
The volume of gas at a constant temperature varies inversely as the pressure. Find the volume of a gas under pressure of 24 pound per cubic centimeter if the gas occupies a volume of 123 cubic centimeters under a pressure of 20 pounds per cubic centimeter.
I know i need to use the formula
Q=k/m but I am not quite sure what goes where.
Thanks in advance for any help.

Click here to see answer by stanbon(75887) About Me 
Question 190428: I need some help with solving direct and indirect variations.
The problem I have is how to set them up.
The problem is:
The volume of gas at a constant temperature varies inversely as the pressure. Find the volume of a gas under pressure of 24 pound per cubic centimeter if the gas occupies a volume of 123 cubic centimeters under a pressure of 20 pounds per cubic centimeter.
I know i need to use the formula
Q=k/m but I am not quite sure what goes where.
Thanks in advance for any help.

Click here to see answer by Earlsdon(6294) About Me 

Question 190439: I am not sure if I fully understand how to solve variations.
Here is a problem that I did could you please tell me if it is right and if it is wrong what I did wrong
M varies inversely as P. When M is 4, P is 10
Find the constant of proportionality for this variation.
M=k/p
4=k/40
k=40
THen it states to find P when M is 12
12=40/p
p=3.333
but that is not the answer in the book so I am sure that I did that part wrong but am unsure of how it needs to be done
Any help would be greatly appreciated

Click here to see answer by solver91311(24713) About Me 

Question 190701: Happy Easter All, I am having a problem writing an equation containing a given point and parallel. (4,9) x+4y=5, do you think you could help me?
Click here to see answer by Alan3354(69443) About Me 

Question 190702: I submitt a request a minute ago and I don't think I remembered to Thank anyone. How rude of me! I'm usualy not like that. So Thank-you to who read it, and Thank-you to who reads this:-) Good Day, I am having a problem writing a slope and y-intercept equation with a slope and y intercept inputs. 6 and y-intercept(0,9). If someone could help me I would be very grateful.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 190711: Can anyone help me? I swear it's the last one:-)My problem is: Use the equations of the lines to determine if they're parallel. y=0.15x+0.79, 0.11x-y=o.85. I would be greatful if someone could show me how this is done, no matter how much I read and study, I still don't get it. Again Than-x and Have a Good Easter.
Click here to see answer by Alan3354(69443) About Me 

Question 190753: A 25% chlorine solution was mixed with an 18% solution to create a 20% solution. How much of the 18% and 25% solution were used to make 28L of the 20% solution?
Click here to see answer by stanbon(75887) About Me 

Question 190808: Hi again, John (I don't have the symbols)91311(3186)was nice enough to answer a question but I forgot to explain in detail. If I were to graph C(g)=3.03, what is domain and range? I goofed by not saying it was cost per gallon of gasoline. I'm playing beat the clock and I really didn't need to make such a dumb mistake. I guess I'm tired. Thanks for any help.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 190876: x=6y-2
x=3/4y

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Question 190869: When the digits of a two-digits number are reversed, the new number is 36 more than the original number. The units digits is twice the tens digit. What is the original number?
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Question 190977: Hi, was wondering if anyone could help me with the following system of equations problem. Steps on how to solve fully would be ideal also.
A-B+C=1
2A-2B=0
3A+B-3C=2
Any help would be most appreciated,
-Thanks, -Nick.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 190977: Hi, was wondering if anyone could help me with the following system of equations problem. Steps on how to solve fully would be ideal also.
A-B+C=1
2A-2B=0
3A+B-3C=2
Any help would be most appreciated,
-Thanks, -Nick.

Click here to see answer by solver91311(24713) 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