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

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Question 141360:
How do I solve by using a system of two equations in two variables?
Jennifer is 6 years older than Sue. In 4 years, she will be twice as old as Sue was 5 years ago. Find their ages now.

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Question 141363: How do I solve by using a system of two equations in two variables?
The units digit of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number.

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Question 141361: How do I solve using a system of two equations in two variables?
The sum of the digits of a two-digit number is 9. The value of the number is 12 times the tens digit. Find the number.
I think the first equation is x+y=9

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Question 141416: How do i solve using two equation with two variables?
Jennifer is 6 years older than Sue. In 4 years, she will be twice as old as Sue was 5 years ago. Find their ages now.
My teacher said the answers are not 8 & 14.

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Question 141389: y=x^2+2x-1
y=3x+5

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Question 141370: How do I solve by using two equations and two variables?
The sum of the digits of a two-digit number is 12. If 15 is added to the number, the result is 6 times the units digit. Find the number.

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Question 141480: A motorboat can go 8 miles downstream on a river in 10 minutes. It takes 30 minutes for this boat to go back upstream the same 8 miles. Find the speed of the boat in still water.
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Question 141500: I am so stuck! How do I solve using two equations with two variables?
The tens digit of a two-digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the original number. Find the number.

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Question 141498: How do I solve using two equations with two variables?
The units digit of a two-digit number is 4 times the tens digit. If the digits are reversed, the new number is 54 more than the original number. Find the number.

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Question 141511: 5y = -7 - 2x
2x - 3y = 33

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Question 141497: How do I solve using two equations with two variables?
The sum of the digits of a two-digit number is 11. If 27 is added to the number, the digits will be reversed. Find the number.

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Question 141534: 4x + 3y = 2
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Question 141534: 4x + 3y = 2
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Question 142227: Another quiz question:
Find an equation of the line containing (-4, -3) and perpendicular to the line 2x-7y=14.

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Question 142457: .5x + 2y = 9
4x - 15y = 2

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Question 142693: Hello, I've got to solve this word problem using a system of linear equations and I do not know where to begin, it seems to me like all the variables are just not there. Any help would be appreciated. Thank you in advance.
A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?

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Question 142702: Could someone please help me with this word problem, this problem needs to be solved by using systems of linear equations. Thank you in advance for your help.
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?

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Question 142764: I know how to solve a linear equation with three variables by using two of the three equations to eliminate one variable and then use a different pair of equations to eliminate the same variable and then you can solve those equations. I am doing some word problems and writing the first two equations with three unknown variables is easy but I cannot seem to write the third.
Mike has 19 coins (nickels, dimes and quarters) in his piggy bank with a total value of $2.35. There are 2 more dimes than nickels. How many of each type does Mike have?
N+D+Q=19
5N+10D+25Q=235
?

With the first two I can multiply the first by –5 to eliminate N. I need another equation. Help?
----------------
Fred, Tiger and Nancy play a round of golf together. Their combined score is 223. Fred’s score was 3 more than Nancy’s and Tiger’s score was 7 more than Fred’s. What was each person’s score.
You would think something simple like
F=N+3
T=F+7
223=T+F+N
But I need three equations with three unknown variables.

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Question 142764: I know how to solve a linear equation with three variables by using two of the three equations to eliminate one variable and then use a different pair of equations to eliminate the same variable and then you can solve those equations. I am doing some word problems and writing the first two equations with three unknown variables is easy but I cannot seem to write the third.
Mike has 19 coins (nickels, dimes and quarters) in his piggy bank with a total value of $2.35. There are 2 more dimes than nickels. How many of each type does Mike have?
N+D+Q=19
5N+10D+25Q=235
?

With the first two I can multiply the first by –5 to eliminate N. I need another equation. Help?
----------------
Fred, Tiger and Nancy play a round of golf together. Their combined score is 223. Fred’s score was 3 more than Nancy’s and Tiger’s score was 7 more than Fred’s. What was each person’s score.
You would think something simple like
F=N+3
T=F+7
223=T+F+N
But I need three equations with three unknown variables.

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Question 142763: I need to solve the system of linear equations
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26

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Question 142827: find an equation of the line containing (-1,6) and (0,-3) and write the result in slope intercept form
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Question 142830: how do you solve x-8y=37 3x+8y=-17 by using the elimanation method it doesnt really help with the steps can you or anybody show me.
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Question 142918: I need help with this word problem which needs to be solved using a system of two linear equations. Thank you in advance for your help.
A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60. How many of each type were sold?

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Question 142969: Any help with this system of linear equation would be appreciated.
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?

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Question 142968: Any help with this system of linear equations will be appreciated.
A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?

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Question 142967: Could any one help me with this system of linear equation as a word problem. Thank you in advance for your help.
A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?

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Question 143008: I need help finding the solution to this system of linear equation. Any help would be appreciated. Thank you in advance.
y = 2x + 3 and y = -x – 4

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Question 143050: I need the formula to express how much money I would have after 20 years if I start with one dollar and the money doubles every year. My assignment is to put the formula on a spread sheet and generate a graph. I can do that, I just don't know how to come up with the formula.(I've been out of high school for 38 years)
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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?

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Question 143145: I cannot figure this out. It states to graph the function y=f(x)=x^2. Please I need help!
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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


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Question 143212: please help me solve problem number 27 of page 152, Review exercises. thankyou.
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Question 143311: Simplify
8(a+3b)+4(5a-5b)
__________________________________________________________________

Solve
(x+6)2=0
__________________________________________________________________

Classify 8y3 - 5y2 + 3y - 1 by degree AND by number of terms
__________________________________________________________________
Solve
6(12y - 3) + 6y = 9
__________________________________________________________________
Find the product of (x + 2)2, explain how you arrived at your answer in constructed response format.
__________________________________________________________________


Please help this is going to be on my finalnext week!! Thank you!!

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Question 143376: Hello, can anyone help me with this?
Solve the following system by graphing.
x + y = 6
x - y = 3


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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

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Question 143489: How to solve 3 unknown with 2 linear equations?
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Question 143307: Solve the linear system
y = x + 7
2x + 3y = 31 (hint: substitution)

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Question 143307: Solve the linear system
y = x + 7
2x + 3y = 31 (hint: substitution)

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Question 143506: Oh, please help me with this, I do NOT understand this system math....
Solve the following system by substitution.
4x - 2y = 8
2x + 4y =8

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Question 143505: Hi, I need some help, would you be able to help me with this?
Solve the following system by addition.
2x + 5y = 10
5x - 2y = 10

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Question 143504: Would someone be able to help me with this, I appreciate it.
Solve the following system by graphing.
x + y = 6
x - y = 3

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Question 143589: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent
3y=x+5
3x-9y=-10

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Question 143588: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent
x-y=3
3x-2y=3

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Question 143590: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent
x=1/8y-1
y=1/4x+39

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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?

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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