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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 1112673: A worker is employed to work for 30 days at the rate of Rs 120 per day. If he is absent on a particular day he loses Rs 30. The worker earns total of Rs 2700 for that period. For how many days was the worker absent?
Click here to see answer by MathTherapy(10552)

Question 1191906: A 3.0m long wire with diameter of 1.5mm is elongated by 0.60mm when a 6.0kg load is hung from one end.calculate
(i) final length
(ii) strain
(iii)stress
(iv)young modulus of the wire.
Click here to see answer by mananth(16946)

Question 1202872: Alvin's age is two times Elga's age. The sum of their ages is 72. What is Elga's age?
Click here to see answer by math_tutor2020(3817)

Question 1202978: The network of currents i₁, i₂, i₃ are related in the following equations:
z₁i₁ + z₃i₃ = V
z₂i₂ - z₃i₃ = 0
i₁ - i₂ - i₃= 0
Determine an expression for i₁, i₂, i₃ in terms of z₁, z₂, z₃ and V using method of the Cramer's rule.

Click here to see answer by Edwin McCravy(20056)

Question 1202977: The network of currents i₁, i₂, i₃ are related in the following equations:
z₁i₁ + z₃i₃ = V
z₂i₂ - z₃i₃ = 0
i₁ - i₂ - i₃= 0
Determine an expression for i₁, i₂, i₃ in terms of z₁, z₂, z₃ and V using method of the Cramer's rule.
Click here to see answer by Edwin McCravy(20056)

Question 1203108: The sum of Leilah’s age and Abdul’s age is 34 years. Five years ago, the sum of twice Leilah’s age and three times Abdul’s age was 61 years. How old are they now?

Click here to see answer by josgarithmetic(39617)

Question 1203109: It took a patrol boat 5 hours to travel 60 km up a river against the current, and 3 hours for the return trip with the current. Find the speed of the boat in still water and the speed of the current.
Click here to see answer by josgarithmetic(39617)

Question 1203110: The school football team held a car wash to raise money. They washed cars for $4 each and vans for $6 each. They washed a total of 61 vehicles and raised $278. How many of each type of vehicle did they wash?
Click here to see answer by math_tutor2020(3817)

Question 1203153: Solve.
3a - 12b - 2c = 5
4a - 3b + 8c = 5
6a + 9b + 16c = 4
Click here to see answer by ikleyn(52782)

Question 1203153: Solve.
3a - 12b - 2c = 5
4a - 3b + 8c = 5
6a + 9b + 16c = 4
Click here to see answer by MathLover1(20850)

Question 1203209: If the line l^1 : y=kx+b passes the point (2,3) and is perpendicular to the line y = ½x - 5, what is the equation of the line l^1?

Click here to see answer by math_tutor2020(3817)

Question 1203233: what are m and b in the linear equation 8 +10x + 13 + 6x = y
Click here to see answer by greenestamps(13200)

Question 1203233: what are m and b in the linear equation 8 +10x + 13 + 6x = y
Click here to see answer by josgarithmetic(39617)

Question 1203290: -1/6x(2x+12)=-1/3x+12 solve for X
I no it's no solution, but I need to see it worked out to understand.
Click here to see answer by Alan3354(69443)

Question 1203290: -1/6x(2x+12)=-1/3x+12 solve for X
I no it's no solution, but I need to see it worked out to understand.
Click here to see answer by ikleyn(52782)

Question 1203437: 3x+6y-z=7
2x-3y+5z=-12
8x+9y-2z=12
Click here to see answer by josgarithmetic(39617)

Question 1203437: 3x+6y-z=7
2x-3y+5z=-12
8x+9y-2z=12
Click here to see answer by math_tutor2020(3817)

Question 1203437: 3x+6y-z=7
2x-3y+5z=-12
8x+9y-2z=12
Click here to see answer by greenestamps(13200)

Question 1203438: 3x+6y-z=6
3x-3y+5z=-6
9x+9y-2z=11
Click here to see answer by josgarithmetic(39617)

Question 1203438: 3x+6y-z=6
3x-3y+5z=-6
9x+9y-2z=11
Click here to see answer by greenestamps(13200)

Question 1203537: Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should be in the solution set, one is not, and one should be on the boundary line. In the boxes below, prove mathematically that each point matches the description. All steps need to be shown to earn full credit. (6 points)
3x-2y>-4

Click here to see answer by Theo(13342)

Question 1128087: An investment of $106,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $8100. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
Click here to see answer by mananth(16946)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by josgarithmetic(39617)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by MathLover1(20850)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by math_tutor2020(3817)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by greenestamps(13200)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by ikleyn(52782)

Question 1203611: x+4y-6z=-1
2x-y+2z=-7
-x+2y-4z=5
Click here to see answer by MathTherapy(10552)

Question 1203618: Tickets for a school event were $2.25
for students and $3.50
for parents. If a total of
tickets were sold for
, how many student and parent tickets were sold?

Click here to see answer by greenestamps(13200)

Question 1203630: what is the slope intercept form of the equation of the line that passes through the point (2,5) and (-3,-1)
Click here to see answer by Edwin McCravy(20056)

Question 1203630: what is the slope intercept form of the equation of the line that passes through the point (2,5) and (-3,-1)
Click here to see answer by Theo(13342)

Question 1203630: what is the slope intercept form of the equation of the line that passes through the point (2,5) and (-3,-1)
Click here to see answer by greenestamps(13200)

Question 1203630: what is the slope intercept form of the equation of the line that passes through the point (2,5) and (-3,-1)
Click here to see answer by Alan3354(69443)

Question 1203731: Determine if the given sets are closed or not closed and why.
1. 10/2=5
2. 50/2=25
3. 45/15=3

Click here to see answer by ikleyn(52782)

Question 1203895: There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day.
Which linear equation represents the total amount of quarters in the jar after x days?
Responses
6y = 2x
y = 6x + 2
y = 2x + 6
y=1/6x+2
Click here to see answer by MathLover1(20850)

Question 1203977: Joseph invested a total of $10,000$10,000 in two accounts. After a year, one account lost 7.8%, while the other account gained 6.7%. In total, Joseph lost \$562.50. How much money did Joseph invest in each account?Write and solve a system of equations to answer the following questions.Joseph invested in the account with 7.8% loss.Joseph investedin the account with 6.7% gain.
Click here to see answer by josgarithmetic(39617)

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