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

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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.
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Question 1204040: Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?
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Question 1204040: Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1204040: Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?
Click here to see answer by greenestamps(13200) About Me 
Question 1204040: Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?
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Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​

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Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​

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Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​

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Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​

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Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​

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Question 1204088: Solve for y:
-3x+4y= 28

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Question 1204117: Lauren is planning a catered dinner party for her parents with a budget of 396.00. She has selected two options: a chicken dinner that costs 9 dollars a plate and a steak dinner that cost 12 dollars a plate. Lauren is working on the guests list and must also determine how many of each meal to order. Set up an equation and solve.
Click here to see answer by mananth(16946) About Me 
Question 1204117: Lauren is planning a catered dinner party for her parents with a budget of 396.00. She has selected two options: a chicken dinner that costs 9 dollars a plate and a steak dinner that cost 12 dollars a plate. Lauren is working on the guests list and must also determine how many of each meal to order. Set up an equation and solve.
Click here to see answer by MathTherapy(10552) About Me 
Question 1204117: Lauren is planning a catered dinner party for her parents with a budget of 396.00. She has selected two options: a chicken dinner that costs 9 dollars a plate and a steak dinner that cost 12 dollars a plate. Lauren is working on the guests list and must also determine how many of each meal to order. Set up an equation and solve.
Click here to see answer by greenestamps(13200) About Me 
Question 1204117: Lauren is planning a catered dinner party for her parents with a budget of 396.00. She has selected two options: a chicken dinner that costs 9 dollars a plate and a steak dinner that cost 12 dollars a plate. Lauren is working on the guests list and must also determine how many of each meal to order. Set up an equation and solve.
Click here to see answer by ikleyn(52782) About Me 

Question 1204238: create a system of two equations with a solution of (4,2). I know that x=4 and y=2 would work but are there other solutions?
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Question 1204264: solve the linear system of equations by crammers rule=
-1/2x+3y+2z=-1
+3x+4y+5z=-2
-6x+3y-2z=-7

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Question 1204363: Write an equation that can form a linear system of equations with -2x + y = 4 so that the system has:
a) no solution _______________
b) many solutions _______________
c) one solution _______________

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Question 1204363: Write an equation that can form a linear system of equations with -2x + y = 4 so that the system has:
a) no solution _______________
b) many solutions _______________
c) one solution _______________

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Question 1204546: Studio A Studio B
classes|cost Classes|cost
3 70 4 80
7 130 6 120
8 145 9 180
12 205 11 220
The tables above show the cost of yoga classes at two different studios. Studio A charges a mat fee of $25, but Studio B has no initial fee. Write a system of equations that will determine when the two studios cost the same.

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Question 1204546: Studio A Studio B
classes|cost Classes|cost
3 70 4 80
7 130 6 120
8 145 9 180
12 205 11 220
The tables above show the cost of yoga classes at two different studios. Studio A charges a mat fee of $25, but Studio B has no initial fee. Write a system of equations that will determine when the two studios cost the same.

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

Question 1204593: Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1204593: Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations?
Click here to see answer by ikleyn(52782) About Me 
Question 1204593: Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations?
Click here to see answer by mananth(16946) About Me 
Question 1204593: Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations?
Click here to see answer by greenestamps(13200) About Me 

Question 1204620: The hot water tap can fill the tub in 10 minutes. The cold water tap can fill the tub in 8 minutes. How long would it take to fill the tub if both taps are opened?
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Question 1204620: The hot water tap can fill the tub in 10 minutes. The cold water tap can fill the tub in 8 minutes. How long would it take to fill the tub if both taps are opened?
Click here to see answer by greenestamps(13200) About Me 

Question 1204628: Alyssa emptied out her change jar to buy a new binder for school. She found 147
coins consisting of dimes and nickels that totaled $11.65. Write a system of
equations to determine how many dimes, d, and how many nickels, n, Alyssa had in
her change jar? Then solve the system of equations.

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Question 1204628: Alyssa emptied out her change jar to buy a new binder for school. She found 147
coins consisting of dimes and nickels that totaled $11.65. Write a system of
equations to determine how many dimes, d, and how many nickels, n, Alyssa had in
her change jar? Then solve the system of equations.

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Question 1204629: y = x - 8
y = -2x + 1

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Question 1204629: y = x - 8
y = -2x + 1

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Question 1204629: y = x - 8
y = -2x + 1

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Question 1204681: The first equation is y=2x-8. If a second line passes through the points (0,4) and has a slope of -1, find the solution to the system.
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Question 1204947: It is 76°F at the 5,500-foot level of a mountain and 41°F at the 9,000-foot level of the mountain.
Use the elevation as the e-value. For example, at the elevation 7000 feet, use e=7000.
a. Write an equation to find the temperature (T) at an elevation (e) on the mountain.
Round decimals to 4 places.
b. Using your equation from part (a), predict the temperature at an elevation of 16,200 feet.

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Question 1205319: Graph this line using intercepts:
21x - 18y=1,260

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Question 1205451: The debate team has m members. Each member sold 10 coupon books as a fundraiser. Write an expression that shows the number of coupon books sold.
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Question 1205450: The debate team has m members. Each member sold 10 coupon books as a fundraiser. Write an expression that shows the number of coupon books sold.
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Question 1205685: x=y-5
3x+y=1

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Question 1205685: x=y-5
3x+y=1

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Question 1205685: x=y-5
3x+y=1

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Question 1205725: So, my problem is this I solved it once and I got it wrong can you guys help me out?
8x-6y=-2
8x+5y=-13
I am supposed to use the elimination method and get an ordered pair and I am still confused.

Click here to see answer by math_tutor2020(3817) About Me 
Question 1205725: So, my problem is this I solved it once and I got it wrong can you guys help me out?
8x-6y=-2
8x+5y=-13
I am supposed to use the elimination method and get an ordered pair and I am still confused.

Click here to see answer by ikleyn(52782) About Me 
Question 1205725: So, my problem is this I solved it once and I got it wrong can you guys help me out?
8x-6y=-2
8x+5y=-13
I am supposed to use the elimination method and get an ordered pair and I am still confused.

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

Question 1205753: Solve -3x+5y=21 and 6x-y=-15
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Question 1205753: Solve -3x+5y=21 and 6x-y=-15
Click here to see answer by josgarithmetic(39617) 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