Tutors Answer Your Questions about Linear-systems (FREE)
Question 1130662: Use two equations in two variables to solve the application.
Peter invested some money at 6% annual interest, and Martha invested some at 12%. If their combined investment was $8,000 and their combined interest was $570, how much money did Martha invest?
Click here to see answer by addingup(3677)   |
Question 1130674: Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)
5x-2 / 4 + 1/2 = 3y+2 / 2
7y+3 / 3 = x/2 + 7/3
Click here to see answer by MathTherapy(10552)  |
Question 1130795: Use two equations in two variables to solve the application.
At a store, ice cream cones cost $1.90 and sundaes cost $2.65. One day, the receipts for a total of 142 cones and sundaes were $312.55. How many cones were sold?
Click here to see answer by addingup(3677) |
Question 1130791: Use two equations in two variables to solve the application.
A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.10 per pound. How many pounds of each should he use? (find # of lbs used for peanuts and jelly beans).
Click here to see answer by Alan3354(69443)  |
Question 1130791: Use two equations in two variables to solve the application.
A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.10 per pound. How many pounds of each should he use? (find # of lbs used for peanuts and jelly beans).
Click here to see answer by josgarithmetic(39618) |
Question 1130790: Use two equations in two variables to solve the application.
A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much of each must he use to make 20 liters of a solution that is 40% alcohol? (find how many liters for 50% and 25% solutions).
Click here to see answer by Alan3354(69443) |
Question 1130789: Use two equations in two variables to solve the application.
A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters of a solution that is 45% alcohol? (find how many liters used for 60% and 35% solution)
Click here to see answer by Alan3354(69443) |
Question 1130794: Use two equations in two variables to solve the application.
A landscaper used 130 pounds of grass seed containing twice as much bluegrass as rye. He added 19 more pounds of bluegrass to the mixture before seeding a lawn. How many pounds of bluegrass did he use?
Click here to see answer by addingup(3677) |
Question 1130794: Use two equations in two variables to solve the application.
A landscaper used 130 pounds of grass seed containing twice as much bluegrass as rye. He added 19 more pounds of bluegrass to the mixture before seeding a lawn. How many pounds of bluegrass did he use?
Click here to see answer by josgarithmetic(39618) |
Question 1130792: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $117, and three pairs of shoes and five pairs of socks cost $170. Find the cost of a pair of socks.
Click here to see answer by ikleyn(52788)  |
Question 1131020: Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
{7x+8y=−18
7x+5y=−6
so I first isolated y on the first equation, getting (-7x-18)/8. then i substituted it for y in the second equation getting x=-3.
I then substituted -3 for x on the first and second equation getting 3/8 and -3.
I dont know what I'm doing, if I'm doing it right and if it is a dependent system inconsistent or only one solution. Please help if you can, Thank You!
Click here to see answer by MathLover1(20850)  |
Question 1131020: Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
{7x+8y=−18
7x+5y=−6
so I first isolated y on the first equation, getting (-7x-18)/8. then i substituted it for y in the second equation getting x=-3.
I then substituted -3 for x on the first and second equation getting 3/8 and -3.
I dont know what I'm doing, if I'm doing it right and if it is a dependent system inconsistent or only one solution. Please help if you can, Thank You!
Click here to see answer by stanbon(75887) |
Question 1131020: Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
{7x+8y=−18
7x+5y=−6
so I first isolated y on the first equation, getting (-7x-18)/8. then i substituted it for y in the second equation getting x=-3.
I then substituted -3 for x on the first and second equation getting 3/8 and -3.
I dont know what I'm doing, if I'm doing it right and if it is a dependent system inconsistent or only one solution. Please help if you can, Thank You!
Click here to see answer by ikleyn(52788) |
Question 1131073: On weekdays, a movie theater charges different rates for adults and
children. If 3 adults and 2 children go for a movie on a weekday, the total
cost of the tickets is $31. If 2 adults and 3 children go on a weekday, the
total cost of the tickets is $29. If a group of adults and 6 children go to the movie theater on a weekday and pay $58 for tickets, how many adults are
in this group?
A. 4
B. 5
C. 7
D. 8
Click here to see answer by stanbon(75887) |
Question 1131117: Alex bought a new truck for $42,l935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and solve a linear equation to find how many years until the car is worth $ 5,135.
Click here to see answer by Boreal(15235)  |
Question 1131388: 7x-my = 1
7y-mx = 1
which value of "m" will make the equation have one solution, and how many values of "m" can make it possible.
Also have to find which value for "m" will make the equation have infinitely solutions.
Click here to see answer by Alan3354(69443) |
Question 1131548: Flying to Baltimore with a tailwind a plane averaged 134 mph. On the return trip the plane only averaged 108 mph while flying back into the same wind. What is the speed of the wind? How fast would the plane go if there were no wind?
Click here to see answer by Alan3354(69443) |
Question 1131548: Flying to Baltimore with a tailwind a plane averaged 134 mph. On the return trip the plane only averaged 108 mph while flying back into the same wind. What is the speed of the wind? How fast would the plane go if there were no wind?
Click here to see answer by ikleyn(52788) |
Question 1131623: A bus and a car leave a town at 10:30 AM and travel in opposite directions. The bus travels at an average speed of 50km/hr and the car travels at the average speed of 55km/hr
Let t equal the time taken for the journey.
i) Write an expression in t for the distance travelled by bus
ii) Write an expression in t for the distance travelled by the car
iii) write an equation in t to show the time at which the bus and the car are 140km apart
iv) Solve for T
v) If the car and the bus travelled in the same direction, at what time would the car be 30km in front of the bus??
Click here to see answer by ankor@dixie-net.com(22740)  |
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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
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