Tutors Answer Your Questions about Linear-systems (FREE)
Question 143048: I've been trying to solve this question for about two hours. I just can't seem to get the starting equation right.
Jan has $2000 more invested in a stock that pays 9% interest than in a savings account paying 8%. If her total interest for 1 year is $860, how much does she have invested at each rate?
Click here to see answer by scott8148(6628)   |
Question 143217: I'm having problems finding the x & y intercepts for this system. I found the solution but not the intercepts. Any help would be appreciated.
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection.
4x = 8 and 5y = 15
4x = 8
x = 2
5y = 15
y = 3
CHECK
4(2) = 8
8 = 8
5(3) = 15
15 = 15
Click here to see answer by scott8148(6628) |
Question 143311: Simplify
8(a+3b)+4(5a-5b)
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Solve
(x+6)2=0
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Classify 8y3 - 5y2 + 3y - 1 by degree AND by number of terms
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Solve
6(12y - 3) + 6y = 9
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Find the product of (x + 2)2, explain how you arrived at your answer in constructed response format.
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Please help this is going to be on my finalnext week!! Thank you!!
Click here to see answer by stanbon(57290) |
Question 143396: I am stuck on this linear equation story problem. I was hoping someone could please help me with the formula that I need.
The Candy Shop wants to create 50 pounds of a holiday mix that will sell for $3.91 per pound. How many pounds of a candy selling for $2.59 per pound should be combined with candy selling for $6.99 per pound to create the desired mix?
Set up a system of equations to describe this situation. Solve the system of equations to find the solution.
This isn't from a book, it is from a problem in one of my online classes. Thanks so much ~Lyn
Click here to see answer by ankor@dixie-net.com(15647)  |
Question 143786: 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 difference between two numbers is 3, and the sum of those two numbers is 21. What are the two numbers?
Click here to see answer by marcsam823(57) |
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(12569) |
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(12569) |
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(12569) |
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(12569) |
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(12569) |
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(57290) |
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(1512) |
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(57290) |
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(30993)  |
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(12569) |
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(2825) |
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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
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