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

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Question 109165: Gail and Bill drove to a beach at an average speed of 50 mi/h. They returned home over the same road at an average speed of 55 mi/h. The trip home took 30 min less time. How far is the beach from their home?
Click here to see answer by stanbon(75887) About Me 

Question 109163: Starting one hour later, Jonathan sets out walking at 8 km/h to overtake his little sister who averages 5 km/h. How long woll it take Jonathan?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 109228: Ken bought three chocolate bars and a pack of gum and paid $1.75. Sally bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.

3x +1y =$1.75
2x + 4y = $2.00
I know I have to multiply the second equation by a number in order to eliminate the variable x when added but I can't figure what number to use that will equal 3x. Please help

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

Question 109230: One number is 12 more than a another. the sum of the smallest number and twice the larger number is 39. find the larger number
x + 12 = y
x + 2(y)= 39
Am I on the right track for solving this problem?

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

Question 109231: Paul invested $5000 in a time deposit. What interest will he earn for 1 year if the interest rate is 6.5%
Click here to see answer by HyperBrain(694) About Me 

Question 109277: Hi, I am looking for some help with this problem, thanks in advance:
Draww the graph of each function;
y= -(x-2)^2

Click here to see answer by edjones(8007) About Me 

Question 109400: The sum of two numbers is 111, and their difference is 63.
What are the two numbers?
*what is the formula?

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

Question 109328: Hi sir, i am really confused with the sum and need immediate help .
Q.A rabbit costs $3.50 , ducklings are sold at 3 for $1 and chicks cost 50 cents each . A farmer paid $100 exactly for 100 of these animals . How many of each did he buy ? (There are 5 possible answers.)
I am getting (20,60,20)
Sir pls help me . THANK YOU

Click here to see answer by ptaylor(2198) About Me 

Question 109479: How do you do this system of equation:
3x+5y=56
y= 66-8y / 5

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

Question 109527: hiya!! please can you help me with formula please!it is 3x+5 divide by 2 and then times by 3 >>i do not know how to do it ive tried many ways but still think i got it wrong xxxxthank you
Click here to see answer by edjones(8007) About Me 

Question 109588: When a no is divided by 4 and has 28 added to it , the result is equal to twice the no. . Find the no ?
Pls help me . I can't form apropriate eqn for this ans .
THANK U.

Click here to see answer by Fombitz(32388) About Me 

Question 109706: Two hikers start walking in opposite directions from a camp at the same time. The average rate of the northbound hiker is 3 mi/h faster than the rate of the southbound hiker. If they are 22 moles apart after 2 hours, what is the rate of each hiker?
Click here to see answer by checkley71(8403) About Me 

Question 109733: Find values for m and b in the following system so that the solution to the system is (-3, 4)
5x+7y=b
mx+y=22
Thanks for any help you can give
Heather

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

Question 109736: Solve the following by addition. If a unique solution does not exist, state whether the system in inconsistent or dependent.
x + 5y = 10
-2x - 10y = -20
I appreciate any help
thanks
Heather

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

Question 109855: 5x-2y=-5
y-5x=3

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

Question 109873: A small company keeps track of its monthly profit in relation to the number of workers they employ. Let x represent the number of employees, and let y represent the monthly profit where each unit in y represents $1,000 in profit. The following ordered pairs describe the profit:
(8,16), (10,21), (11,21), (15,9).
Interpret the meaning of the ordered pair (11,21).
* With 21 employees, the company makes a profit of $11,000.
* With 11 employees, the company makes a profit of $21.
* With 21 employees, the company makes a profit of $11.
* With 11 employees, the company makes a profit of $21,000.

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

Question 109869: Write the equation of the line through [-17/3, 8/5] that is parallel to the x-axis.
* -17/3x+8/5y=0
* y=-17/3x+8/5
* x=-17/3
* y=8/5

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

Question 109906: I need some help PLEASE!!!!
solve each of the following by substitution
8x-4y=16
y=2x-4
Thanks
Heather

Click here to see answer by tutorcecilia(2152) About Me 

Question 109916: I need to solve this problem and show solution used....HELP!!!!
The length of a rectangle is 2 in more than twice its width . If the perimeter of the rectangle is 34 in find the dimensions of the rectangle.
thanks alot
Heather

Click here to see answer by checkley71(8403) About Me 

Question 109909: I need some help PLEASE!!!!
solve each of the following by substitution
4x-12y=5
-x+3y=-1
Thanks
Heather

Click here to see answer by ptaylor(2198) About Me 

Question 109905: Solve each of the following by substitution
5x-2y=-5
y-5x=3
Thanks for any help!!!
Heather

Click here to see answer by vidhyak(98) About Me 

Question 109868: In football, the hangtime of a punt is how many seconds after it's kicked that the ball returns to ground level. The height of one particular punt is given by:

y=-16x2 +80x
where y is in feet, and x is secinds after the puntWhich intercept tells us the hang time of the punt, and what is it?
*x-intercept: 0 seconds
*x-intercept: 5 seconds
*y-intercept: 5 seconds
*y-intercept: 3 seconds

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

Question 110073: I need help solving this problem by graphing 2x-y=4 and 2x-y=6 this problem your help will be greatly appreciated!!
Click here to see answer by stanbon(75887) About Me 
Question 110073: I need help solving this problem by graphing 2x-y=4 and 2x-y=6 this problem your help will be greatly appreciated!!
Click here to see answer by MathLover1(20850) About Me 

Question 110068: a man rode a bycycle for 12 miles then hiked an additional 8 miles . the total time for the trip was 5 hrs . if the rate when he was riding his bicycle was 10 miles per hour faster than his rate walking , what was each rate
Click here to see answer by stanbon(75887) About Me 

Question 110139: Could you please tell me if I did some of this problem correct? It says to find the values for m and b the solution to the system is (-3,4).
5x+7y=b
mx+y=22
so I did this 5(-3)+7(4)=b b=5(-3)+7(4), b=-15+28, b=13, but I don't know what to do with mx+b=22???
Thanks you for your help!!

Click here to see answer by stanbon(75887) About Me 
Question 110139: Could you please tell me if I did some of this problem correct? It says to find the values for m and b the solution to the system is (-3,4).
5x+7y=b
mx+y=22
so I did this 5(-3)+7(4)=b b=5(-3)+7(4), b=-15+28, b=13, but I don't know what to do with mx+b=22???
Thanks you for your help!!

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

Question 110171: Find the slope and y-intercept: y=-3x-37
Click here to see answer by checkley71(8403) About Me 

Question 110172: Write the equation of the line with slope 12 that goes through the point (-1,4)
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Question 110172: Write the equation of the line with slope 12 that goes through the point (-1,4)
Click here to see answer by bucky(2189) About Me 

Question 110173: The linear equation y=-1,500x + 15,750 can be used to approximate the resale value of a pickup truck in dollars, where x represents the number of years after its initial purchase. After how many years will the vakue of the truck fall to $6,750?
Click here to see answer by checkley71(8403) About Me 

Question 110175: Write the equation of the line through (31,35) that is perpendicular to the y-axis.
Click here to see answer by checkley71(8403) About Me 

Question 110178: Find the slope and y-intercept

y = 2x - 1

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Question 110177: Find the slope and y-intercept

y = 2x - 1

Click here to see answer by checkley71(8403) About Me 

Question 110238: how do i solve 5x + 6y = 18 for y
Click here to see answer by edjones(8007) About Me 

Question 110273: how do i solve 1/3 x+ 3/4x=13
and
-2x + 4 > 12

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

Question 110297: how do i solve
-6(x+1)+4=16

Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 110267: how do i solve -6x(x+1)+4=16
Click here to see answer by ptaylor(2198) About Me 

Question 110305: How many packs of each hot dogs should be made to maximize profits and what is the profits?
all-beef hot dogs - 1 package requires 1 lb of beef
regular hot dogs - 1 package requires 1/2 lb of beef and 1/2 lb of pork
40 cent profit on each package of all-beef hot dogs
30 cent profit on each package of regular hot dogs
200 lbs of beef and 150 lbs of pork are available

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

Question 110181: Write the equation of the line through (44, 46) that is perpendicular to the x-axis.
Click here to see answer by bucky(2189) About Me 

Question 110330: What is the slope and y-intercept for this problem
5x+6y=18 for y
and from that answer find the corresponding value of y when x=12 and then solve the equation algebraically to find the length of the rectangle. find the width as well.

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

Question 110385: Help needed please
Find X, Y, and Z
X + Y + Z =1150
X = 4Z + 100
X = 6Y + 50
thank you

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

Question 110376: How do i solve this problem.
A tennis offers two payment options:
options1: $35 monthly fee plus $4/hour for courtrental
options2: No monthly fee but $6.50/hour for court rental
Let x = hours per month of court rental time
a)Write a mathmatical model representing the total cost, C, in terms for x for the following:
option 1: C=____________
option 2: C =_______________
B) how many hour would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part A.
ALL THIS IS ONE QUESTION. THANKYOU

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

Question 110331: how do i solve this?
A tennis club offers two payment options:
option 1 $35 monthly fee plus $4/hour for court rental.
option2: No monthly fee but $6.50/hour for court rental.
letx = hours per month of court rental time.
a) write the mathmatical model representing the total monthly cost, C, in terms of x for the following:
option1: C=
OPTION2: C=
B) HOW MANY HOURS WOULD YOU HAVE TO RENT THE COURT SO THE MONTHLY COST OF OPTION1, IS LESS THAN OPTION2. SET UP AN SHOW YOUR WORK ALGEBRAICALLY USING THE INFORMATION IN PART A

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

Question 110459: which equation has a slope of 2 and a y-intercept of -5
Click here to see answer by checkley71(8403) 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