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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 1068184: For a certain value of k, the system:
x + y + 3z = 10
-4x + 2y + 5z = 7
kx + z = 3
has no solutions. What is this value of k?
Click here to see answer by KMST(5328)

Question 1068244: The wholesale price of salted peanuts is $1.20/lb and that of seedless raisins is $1.35/lb. How many pounds of raisins must be included in a 3 lb mixture of peanuts and raisins for a cost of $3.78?
Click here to see answer by josgarithmetic(39617)

Question 1068314: how can i solve this equation using substitution method?
x+y=12
y=x+3
Click here to see answer by Fombitz(32388)

Question 1068316: how can i solve this equation using substitution method?
x=y+10
2x=5y
Click here to see answer by Fombitz(32388)

Question 1068328: a wine company needs to blend a California wine with a 5% alcohol content and a French wine with a 9% alcohol content to obtain 200 gallons of wine with a 7% alcohol content. How many gallons of each kind of wine must be used
Click here to see answer by Alan3354(69443)

Question 1068330: for thousands of years, gold has been considered one of earths most precious metals. one hundred percent pure gold is 24-karat gold, which is too soft to be made into jewelry. in the united states, most gold jewelry is 14-karat gold, approximately 58% gold. if 18-katat gold is 75% gold and 12-karat gold is 50% gold, how much of each should be used to make a 14-karatgol bracelet weighing 300 grams
Click here to see answer by ankor@dixie-net.com(22740)

Question 1068596: Which ordered pair (x,y) is a solution to the following equation?
5x+4y=-14
3x+6y=6
Click here to see answer by josgarithmetic(39617)

Question 1068686: Find and interpret P of 500 where the given equation is PX equals 7.5 X -2680
Click here to see answer by Boreal(15235)

Question 1068754: Find four consecutive integers, where twice the fourth integer equals to 25 less than half the third integer.

Click here to see answer by josgarithmetic(39617)

Question 1068872: The distance from the bottom of the ladder to the building is
8
ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is
4
ft less than the length of the ladder?
Click here to see answer by Fombitz(32388)

Question 1068881: A school has 1800 learners. The ratio of number of boys in the school to the number of girls is 5:4, how many girls are there in this school?
Click here to see answer by josgarithmetic(39617)

Question 1069000: If A is a 4x4 matrix ,then det (kA)=3 det (A)
True or false?
Click here to see answer by ikleyn(52787)

Question 1069010: A certain concrete mixture contains 5.00% cement and 6.00% sand (see the figure below).

How many kilograms of this mixture and how many kilograms of sand should be combined with 215 kg of cement to make a batch that is 15.0% cement and 16.0% sand? Carry out all calculations exactly and round to three significant digits final answers only.
Click here to see answer by stanbon(75887)

Question 1069129: Please help me solve the system
3x+2y-2z=14
2x-5y+3z=7
4x-3y+7z=5
Find, x, y, z
Click here to see answer by Alan3354(69443)

Question 1069131: Please help me solve the system
2x-3y+4z= -14
4x+2y-3z= -17
6x-5y+7z= -37
find x,y,z
Click here to see answer by Alan3354(69443)

Question 1069131: Please help me solve the system
2x-3y+4z= -14
4x+2y-3z= -17
6x-5y+7z= -37
find x,y,z
Click here to see answer by Boreal(15235)

Question 1069127: Please help me solve the system
x-2y+3z=22
2x+y+5z=44
3x-4y-2z=13
Find x, y, z
Click here to see answer by Alan3354(69443)

Question 1069203: Translate to equation(s) only (do not solve): John has a mean (average) of 84 for 2 tests, and the range is 16. What are the two scores?
Click here to see answer by Theo(13342)

Question 1069202: Rental Truck A costs $40 per day and $0.25 per mile. Rental Truck B costs $65 per day and $0.19 per mile. Write the linear system or cost A and B and find the critical point for this system (the point where the costs are the same)
Click here to see answer by Fombitz(32388)

Question 1069493: Maximize M=5x+y subject to x≥−5, y≥−2, 7x−7y≤0, 7x+10y≤85.
Click here to see answer by Fombitz(32388)

Question 1069568: Solve the system of equations. If the system has no solution, say that it is inconsistent.
15x-6y=6
8x+4y=2
X=_____ Y=_____
Click here to see answer by stanbon(75887)

Question 1069800: lynne took a taxi cab from her office to airport. she had to pay a flat fee of 2.05 plus 0.90 per mile
Click here to see answer by Alan3354(69443)

Question 1069859: don went to the bakery to buy rolls and bagels for a party. the bagels cost 62 cents each and the rolls cost 37cents each. he bought a total of 144 items and spent $69.78 how many bagels did he buy
Click here to see answer by ikleyn(52787)

Question 1069854: don went to the bakery to buy rolls and bagels for a party. the bagels cost 62 cents each and the rolls cost 37 cents each. he bought a 144 items and spent $69.78 how many bagels did he buy

Click here to see answer by ikleyn(52787)

Question 1070010: If there are 80 volts running to a light bulb of 136 watts, how much current is flowing through the light bulb?
Click here to see answer by Fombitz(32388)

Question 1070029: y=-2/3x-4 in standard form

Click here to see answer by Alan3354(69443)

Question 1070451: Write the slope-intercept form of an equation that passes through (-7,-13) and is perpendicular to the graph of y=-1/5x+5
Click here to see answer by josmiceli(19441)

Question 1070584: (x*.17)+Y=1054.59

Click here to see answer by josmiceli(19441)

Question 1070585: .17*X=1054.59
Click here to see answer by Fombitz(32388)

Question 1070572: Rewrite the parametric equations x=2T+1, y=2T+2 as a single linear equation.
I very much appreciate the help!
Click here to see answer by Fombitz(32388)

Question 1070675: the johnson family and the gonzalez family went to the movies together. the johnson family bought 4 adult tickets and 2 child tickets for a total of $37. the gonzalez family bought 3 adult tickets and 4 child tickets for a total of 39$ what is the price of each type of ticket (adult and child) at this theater ?
Click here to see answer by addingup(3677)

Question 1070691: A new movie theater holds 300 people. They found that when the price was $5 per ticket, the average sales would be 270 people per show. Each time they increase the price by $1, the average attendance drops by 15 people.
A) find an expression, using x, for the number of people that will go to each show
B) find the function R (x) that gives the amount of revenue the theater will make
C) what price should they charge in order to maximize revenue?
Click here to see answer by ikleyn(52787)

Question 1070900: he system of equations may be solved by hand calculation or by using the crossing-graphs method.
Solve the following system using the crossing-graphs method. (Round your answers to two decimal places.)
−9x + 21y = 79
13x + 17y = 4
(x,y) = ( ______ , ________ )
Click here to see answer by Theo(13342)

Question 1070917: x^3 -7x+y=3 and x^2+5y=4

Click here to see answer by Fombitz(32388)

Question 1071032: kevin is saving money. he only has $20 dollar bills and $5 dollar bills. he has a total of 25 bills and a total of $410 dollars. how many $5 bills does he have? how many $20 bills does he have? (using substitution)
Click here to see answer by josgarithmetic(39617)

Question 1071147: 2y-a/3 = a+3b/4
I got y= 7/8a + 9/8b
Click here to see answer by Fombitz(32388)

Question 1071146: 2/5w - w = -1/5(3w + 2)
I got 0w=-2
that can't be right?
Click here to see answer by Alan3354(69443)

Question 1071186: Solve the following equation for x.
ax-b=bx-a
Click here to see answer by josgarithmetic(39617)

Question 1071186: Solve the following equation for x.
ax-b=bx-a
Click here to see answer by MathTherapy(10552)

Question 1071186: Solve the following equation for x.
ax-b=bx-a
Click here to see answer by ikleyn(52787)

Question 1071185: (x-iy)(x+iy), where x and y are real numbers. Give your final answer in the form a+bi.
Click here to see answer by josgarithmetic(39617)

Question 1071092: If a rectangle has a perimeter of 3150 and the long side is 18 times the short side, then what is the length ____ and width _____ sketch on the back and figure it out

Click here to see answer by Fombitz(32388)

Question 1071417: Solve the system y=x-1 by graphing?
y=-4/3x-8
Click here to see answer by josmiceli(19441)

Question 1071525: y=5x-2
-3x+6y=-12
Click here to see answer by Boreal(15235)

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