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

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Question 622415: The average home price in Linden Hills, Minneapolis in 2007 was $381,000.
The average home price in Linden Hills, Minneapolis in 2011 was $296,000
Source: http://www.zillow.com/local-info/MN-Minneapolis-home-value/r_5983/
Let year be the x variable and the home price be the y variable.
Generate a linear function that relates year (x) to home price (y).
Estimate what the average home price was in 2009.
Estimate what the average home price will be in 2035. Discuss your answer.
If this trend continues, estimate what year you would predict the average home price will reach $250,000.
Describe in your own words, what the slope of this function tells you.
Give another example where you might use a linear representation to model change over time.
Hint for a- f: You have two points and you are generating the equation of a line given two points. Your points are of the form (x, y) or more specifically (year, home price).

Click here to see answer by ewatrrr(24785) About Me 

Question 622726: With a y-intercept 10, x-intercept 2, and equation of axis of symmetry x-3 = 0, find the graph equation in standard form.
So I've got two points (0, 10) (2, 0) and half of the vertex (3, k). I don't know how to get this.
The equation is y = a(x-h)^2 + k
Either of the two points could be labelled x and y. I'll use the x-intercept (2, 0). The vertex is used for h, k.
So I've got 0 = a(2 - 3)^2 + k
Two unsolved for variables. Not sure what to do.

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Question 622748: Find an equation of the line having the given slope and containing the given point. m=5, (4,1) The equation of the line in slope intercept form is y=
There parts I understand and some I do not. Here is what I attempted to do to solve the problem
m= 5, (4, 1)
m=5 and y intercept (4,1)
m=5 and b=1
y=4 times x +1 (this is the part I did not understand)
y=1

Click here to see answer by Alan3354(69443) About Me 
Question 622748: Find an equation of the line having the given slope and containing the given point. m=5, (4,1) The equation of the line in slope intercept form is y=
There parts I understand and some I do not. Here is what I attempted to do to solve the problem
m= 5, (4, 1)
m=5 and y intercept (4,1)
m=5 and b=1
y=4 times x +1 (this is the part I did not understand)
y=1

Click here to see answer by ewatrrr(24785) About Me 

Question 622691: Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1)
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Question 622631: During the second game of the 2002 Western Conference finals, the Los Angeles Lakers scored a total of 90 points, resulting from a combination of three-point baskets, two-point baskets, and one-point free-throws. There were 11 times as many two-point baskets as three-point baskets and five times as many free-throws as three-point baskets. What combination of scoring accounted for the Lakers 90 points?
Click here to see answer by math-vortex(648) About Me 

Question 622782: why should we clear fractions when solving linear equations and inequalities.
example

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Question 622447: y=4x+4
3x+2y=12
solve this as a linear equation and graph. don't know how to answer this. please help.

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Question 622956: -2 = -8 + 2x
Click here to see answer by lynnlo(4176) About Me 

Question 622980: Find the value of (g • f)(7) if f(x)=3x-4 and g(x)=3x+1...
Click here to see answer by nerdybill(7384) About Me 

Question 623069: A salesman marks up the price of everything he sells by 20%. The equation for the sales price, p, is p=1.2w, where w is the wholesale cost. What will be the sales price of a sweater with a wholesale cost of $48?
Click here to see answer by rfer(16322) About Me 

Question 623195: I really need help.I need to know the right answer on this problem.
Elimination
1)2x-y=1
x+3y=4
2)8x+5y=13
3x-y=2
Substitution
1)x+3y=4
2x-y=1
2) 4x+2y=5
5x-3y=-2
Equivalent
1)2x+y=3
y-x=0
5x+2y=-10

Click here to see answer by ewatrrr(24785) About Me 

Question 623105: 6x+2=3y-4
Find x. How do I solve this?
Thank you.

Click here to see answer by Alan3354(69443) About Me 

Question 623176: The sum of the digits of a two-digir number is 12. If the digits are reversed, the new number is 18 more than the original number. Find the original number.

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Question 623270: I have no idea how to do these, but its solving linear systems.
1) 35x+y=20
1.5x-0.1y=18
2) x+(1/3y)=-2
-8x-(2/3y)=4
Would you mind showing the work? as stated before, I have no idea how to do these, so anything to help me understand would be much appreciated. Thank you!

Click here to see answer by lwsshak3(11628) About Me 
Question 623270: I have no idea how to do these, but its solving linear systems.
1) 35x+y=20
1.5x-0.1y=18
2) x+(1/3y)=-2
-8x-(2/3y)=4
Would you mind showing the work? as stated before, I have no idea how to do these, so anything to help me understand would be much appreciated. Thank you!

Click here to see answer by smmoore(10) About Me 
Question 623270: I have no idea how to do these, but its solving linear systems.
1) 35x+y=20
1.5x-0.1y=18
2) x+(1/3y)=-2
-8x-(2/3y)=4
Would you mind showing the work? as stated before, I have no idea how to do these, so anything to help me understand would be much appreciated. Thank you!

Click here to see answer by MathTherapy(10552) About Me 

Question 623354: for the following:
7*(2+3t)^2
I get the answer: 28 + 84t + 21t^2
what am I doing wrong??

Click here to see answer by lenny460(1073) About Me 

Question 623358: ramon has a horse and a Carabao. the horse is 2/3 as old as the carabao. The difference between their ages is 4 years. How old is the carabao?

Click here to see answer by ikdeep(226) About Me 

Question 623357: If 3/4 of Mario's money in the bank is 112.5o, how much is 5/6?
Click here to see answer by rfer(16322) About Me 

Question 623324: Length of the rectangle exceeds its breadth by 7cm. if the length is decreased by 4cm. the area of the new rectangle is same as area of the original rectangle. find the length of original rectangle.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 623425: I canīt find the way for the solution:
L1 = 0.08a + 0.072b - 0.01c = 0
L2 = 0.072a + 0.18b - 0.05c = 0
Solution:
a = -0.1953c und b = 0.3559c
How do I get to this solution?
Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 623630: Solve the system by elimination.
1) -3x+y=7
4x-2y=3

2) 2x-3y=7
4x-5y=3
Thank you please solve. :)

Click here to see answer by ewatrrr(24785) About Me 

Question 623610: solve the givennsystem by graphing.Linear Equation in two variables 2y-x=3, 4y=2x+7

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Question 623736: How do I solve this ? A total of 150 tickets were sold for an annual concert to students and non students. Student tickets were $5 and non students were $8. If the total revenue for the concert was $930, then how many tickets of each were sold ?
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Question 623736: How do I solve this ? A total of 150 tickets were sold for an annual concert to students and non students. Student tickets were $5 and non students were $8. If the total revenue for the concert was $930, then how many tickets of each were sold ?
Click here to see answer by ewatrrr(24785) About Me 

Question 623762: 2x + y < -4
X - y > 1
Check the answer

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Question 623974: I don't understand how to do this can you please help?
Fill in the missing # for the solution to this system of equations:
2x + 4y = 8
3x + 2y = 10
x = ____?

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Question 624040: 5(3z-1)-3(z+2)=7(z+1) linear equation Help me find the solution Please!!!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624056: Use the method of substitution to solve the system of linear equations.
5a+4-b
5a=6-b

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Question 624383: what is the sum of 4y^6*3w*4w^3y^7
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624387: Eliminate This Problem
x + y = 10
x - y = - 6

Click here to see answer by jim_thompson5910(35256) About Me 

Question 624385: Solve using addition property
x+y=k
x-y=k

Click here to see answer by jim_thompson5910(35256) About Me 

Question 624410: I really need help with this question. I dont even know where to start.
5x-3y=-19 6x+6y=6

Click here to see answer by richwmiller(17219) About Me 

Question 624473: 2x - 3y = 6 how do i graph this

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Question 624487: how do you plot a equation on the grid

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Question 624564: A+P(1+RT) P=3000 A=3180 T=1 year Find R
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Question 624547: I need help graphing a solution set of the following linear inequality
3y-4x>24

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Question 624612: Bill leaves for Mikes house traveling 8 miles per hour. At the same time Mike leaves his house heading for Bills house travelin 3 miles per hour. The distance between the two houses in 8.25 miles. At what point will they meet?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 624810: Please tell me how I would solve this;
14=b+4
Thank you!

Click here to see answer by richard1234(7193) About Me 

Question 624855: how to use elimination method and substitution methods
Click here to see answer by Alan3354(69443) About Me 

Question 624888: What would be the solution and answer for this equation?
4x+3y=26
y=3x
y+5x=15
8y+5x=20
3y-9x=-18
y-3x=-3
x=4
22=y+2x

Click here to see answer by Alan3354(69443) About Me 

Question 625047: 1st equation is 4x+3y=26
2nd equatiois y=3x
pls solve this problem. thank you.

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Question 625029: what would be the answer and solution for this equation?
4x+3y=26
y=3x

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Question 625125: "Tutor" opeodu needs a real tutor because he cannot solve the problem (see below). Hint: answer will be (0, -3):
Question 624942: Please can someone help me with this problem:
Solve using the elimination method.
14x + 18y = -54
-4x - 14y = 42
Answer by opeodu(4) About Me (Show Source):
You can put this solution on YOUR website!
14x+18y=-54------(a)*(-4)
-4x-14y=42-------(b)*(14)
-56x-72y=216
-56x-196y=588
subtract
-72y-(-196y)=216-588
124y=372
y=372/124=3
substitute y=3 in (a)
14x+18y=-54
14x+18(3)=-54
14x=-54-54
14x=-108
x=-108/14=7whole number5 over 7


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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