Tutors Answer Your Questions about Linear-systems (FREE)
Question 143844: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
The sum of two numbers is 36. Their difference is 4. Determine the two unknown numbers.
Click here to see answer by checkley77(12844)  |
Question 143862: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
Click here to see answer by checkley77(12844) |
Question 143861: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle’s width.
Click here to see answer by checkley77(12844) |
Question 143860: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle’s length.
Click here to see answer by checkley77(12844) |
Question 143859: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.
Click here to see answer by checkley77(12844) |
Question 143912: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour?
Click here to see answer by stanbon(75887) |
Question 143911: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does Mary make per hour?
Click here to see answer by jojo14344(1513) |
Question 144078: Hi, I'm Michele and I could really use someones help on my problem. I will be greatful and very thankful for who ever will help me. Thank You for your help.
1.Find k if the following system of equations has a unique solution
2x + (k - 1)y = 6
3x + (2k + 1)y = 9
2.Find k if the following system of equations has infinite solutions
kx + 3y = k - 3
12x + ky = k
3.Find k if the following system of equations has no solution
3x + 2y = 6
kx + (k - 1)y = 9
Click here to see answer by stanbon(75887) |
Question 144150: How can you solve the systems of euations using elimination with the equations: 3x-5y=11 and 4x+3y=5
It's for my Algebra Final Examination, so I need help fast!
One way is to eliminate one of the variables. Multiply the 1st eqn by 4 and the 2nd by 3, giving:
12x-20y=44 and
12x+ 9y=15. then, subtract eqn 2 from eqn 1, giving
0x -29y=29, or 29y = -29.
So y = -1. Sub -1 in for y in eqn. 1 or 2, giving 3x -5(-1) = 11, or 3x + 5=11.
Then 3x = 6, x=2.
Click here to see answer by Alan3354(69443)  |
Question 144661: I don't know how to set the equations up. I tried using the box method. D=RT but I keep coming up with different numbers everytime.
Mitzi Fulwood traveled for 2 hr at a constant speed. Because of roadwork, she reduced her speed by 7 mph for the next 2 hr. If she traveled 206 mi, what was her speed on the first part of the trip?
Click here to see answer by checkley77(12844) |
Question 144674: I have 3 parts to my question:
A person cuts a board into two pieces that are equal in length. The first piece is 3 times the length of the person's forearm minus 1 inch. The second piece is 5 times the length of the person's forearm plus 15 inches.
I have to
1.) Construct a linear equation that represents this situation using x as the variable for the person's forearm.
2) Solve the linear equation algebraically and graphically to find the length of the person's forearm.
3.) Discuss whether or not my answer is reasonable.
So, here is what I have come up with thus far...
x=3x-1+5x+15
x=8x+14 (combine like terms)
x=8x-8x+14
x-8x=14
-7x=14
(Divided by -7)
x=-2
And this is where I get lost. If my answer is correct I then substituted my answer of -2 into each equation:
3x-1=x
3(-2)-1=x
-6-1=x
-7=x
5x+15=x
5(-2)+15=x
-10+15=x
5=x
I am confused as to how to graph my equation?
Click here to see answer by vleith(2983) |
Question 144989: two private airplanes travel toward each other from cities that are 780 miles apart at speds 190 mph and 200mph. they left at the same time in how many hours will they meet? solution__________
Click here to see answer by shahid(44) |
Question 145006: How do I set this up as an equation; i.e., x + 2y + z = $5000? Thank you.
An investor chooses to invest $5000 in the Global Equities, Money Market, and Social Choice accounts (shown below). She wants to put 5 times as much money in the Money Market account as in the Global Equities account. She assumes that she will be able to get a return equal to the 10-year average, and she wants the total return on her investment to be 7 percent.
How much money should she invest in each account? Round each percentage to the nearest whole-number.
Annuity Accounts 10-Year Average
Global Equities 6.96%
Money Market 4.25%
Social Choice 10.01%
Click here to see answer by stanbon(75887) |
Question 129871: Please help me solove this problem:
2X-1/3y=8
3X-1/2y=6
I'm not sure how to start this, do I need to get a common multiple to remove the fraction or can I use the substitution method? Or am I on the right tract if I do the following
3(2x-1/3y=8)
2(3x-1/2y=6)
6x-y=24
6x-y=12
-(6x-y=24)
6X-y=12
Click here to see answer by ankor@dixie-net.com(22740)  |
|
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
|
