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

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Question 313987: write an equation of the line containing the given point and parallel to the given line y=mx+b
(2,7)x+8y=9
y=
Click here to see answer by checkley77(12569)

Question 314092: Hello,
I have to solve a linear equation but can not find a solution.
Please help me how to calculate.
x+y+z+u=1
2x+3y-4z+5u=2
3x+4y-3z+6u=0
Thank you sooo much in advance.
Click here to see answer by Theo(3458)

Question 314184: Solve the systems by the addition method
2) 3x + 9y = 15
–x + 5y = 3
Click here to see answer by Fombitz(13828)

Question 314352: 3x-2y=17
4x-5y=18
Click here to see answer by Fombitz(13828)

Question 314481: determine the value of k for which the system of linear equations has no solution:
2x-y=3 ; 4x+ky=4.
Click here to see answer by vleith(2825)

Question 314483: Determine the solution:
5/4x-2/3y=3; 1/4x+5/3y=6
Click here to see answer by eshomali(33)

Question 314704: how do yu solve y=4x-8 and y=2x+10
Click here to see answer by checkley77(12569)

Question 314704: how do yu solve y=4x-8 and y=2x+10
Click here to see answer by rapaljer(4667)

Question 314720: I am having a hard time with this problem. Can someone help me please with the steps on how it is solved as well? Thank you
Solve by substitution method.
8x+6y=-14
-6x+y=49
It's asking for a solution in an ordered pair. I have tried this problem for the past 30 min and can't seem to get the correct pair and I'm not sure what I'm doing wrong??
Click here to see answer by checkley77(12569)

Question 314703: how do yu solve 6x+4y=-12 and 8x-14y=-16
Click here to see answer by checkley77(12569)

Question 314758: Hello I was wondering if someone could help me with this problem. Use substitution method. Thank you
9x-2y=3
9x-6=y
The work I have done is this 9x-2y=3
3x-6=y
y=6+3x
9x-2(6+3x)=3
9x+12+6x=3
15x=3-12
15x=--9 <----- I know this isn't right, but I'm not sure how to make it right??
Click here to see answer by mananth(12270)

Question 314769: use the substitution method.
9x-2y=3
3x-6=4
Could someone please tell me if I did this correctly?
y=6+3x
9x-2(6+3x)=3
9x-12+6x=3
12+6=3
6x/6=12/6
x=2
y=6+3(2)=6-6=0
(2,0)
Click here to see answer by stanbon(57214)

Question 314765: y=a and x=b , a and b are real numbers. Is this dependent or independent? consostent or inconsistent? WHY
Click here to see answer by Fombitz(13828)

Question 314834: (x-3y=6) + (x+2y=4) = ?
Click here to see answer by Fombitz(13828)

Question 314842: how do we use the slope-intercept method in graphing linear equations?
Click here to see answer by Fombitz(13828)

Question 314937: Solving this linear equation with substitution.
The linear equation is:
4x-5y=20 and 5x+5y=70.
I need this solved by substitution and I must show all the work.
Thanks
Click here to see answer by Fombitz(13828)

Question 314967: what is -2x(x-8)
Click here to see answer by unlockmath(1599)

Question 315098: This is blowing my mind - the problem reads:
Consider the system y=a and x=b where a and b are real numbers. Is this system dependent or independent? Is it consistent or inconsistent? Describe the system. If it is consistent, what is the solution?
My assumption is that we are supposed to treat y=a as (0,a) on a graph and x=b as (b,0) on a graph - I believe that would mean one verticle line and one horizontal line which would eventually intersect and, therefore the system would be consistent and independent - I don't know if this is correct or not and I have no idea (other than the way I just described it) how to "describe the system". Furthermore, I have no clue as to what "the solution" would be.
Any help would be greatly appreciated - I conceptualize much better with numbers than letters (and I'm not that great dealing with the numbers).
Thank You!

Click here to see answer by Fombitz(13828)

Question 315117: find the hcf of x^2-xy-2y^2 and 2x^2-xy-y^2
Click here to see answer by malaydassharma(59)

Question 315108: 7r/12 = -14
Click here to see answer by Fombitz(13828)

Question 315235: I need to figure out the numerical value of variables a,b,and c. 3a-5b+5c=21
Click here to see answer by Fombitz(13828)

Question 315300: there are 443 students in a graduating class. there are 103 more girls than boys. how many boys are there?
Click here to see answer by user_dude2008(1861)

Question 315153: solve the linear equality. Use interval notation to express the solution -7x>=21
Click here to see answer by user_dude2008(1861)

Question 315481: Please help me solve this system of equations using the Gauss-Jordan method.

4x - 3y +z +w = 21
-2x - y + 2z + 7w = 2
10x - 5z - 20w = 15
Click here to see answer by Edwin McCravy(8879)

Question 315544: I have no idea what I am doing with these...Can anyone please help me out! Thank you

In the past, we have done a variety of fund raisers for our committee. For example, we printed hats one year. The function for the cost of the hats (including the $15.50 set up fee) was
F(x) = 2.09x + 15.50 =214.05
A. We sold 95 hats that year. How much was our total bill from Signature Shirts? (Yes, they do hats, too…)
B. How many hats would we have sold had we paid Signature Shirts $341.54?
C. What is our slope of this function?
D. What is our y-intercept?
E. What does the y-intercept represent?
6. Our equation y = 2.09x + 15.50 represents our charge for hats. An estimate from a competing company, Lotsa Hats, was -1.13x + y = 13.30.
A. Do you expect these lines to be parallel, perpendicular, or intersecting? Why?
B. Use the equations to determine if the lines are parallel. Are they? Why or why not?

Click here to see answer by stanbon(57214)

Question 315555: Two circles x^2+y^2=11 and (x-3)^2+y^2=2 intersect at two points. P and Q. Find the exact length of the line segment PQ.
Click here to see answer by Fombitz(13828)

Question 315909: 2. Write an equation based on the given facts and find the solution. Show all your work, including the steps for solving the equation and checking your answer. Clearly state your answer.
The perimeter of a rectangular photo is 72 cm. The length is twice the width.
What are the length and width of the photo?
Click here to see answer by rfer(12644)

Question 316342: what is the orderd pair to
2y=5x-13
4x-5y=7
and how do you get the answer... im cofused on the whole 2y thing.
Click here to see answer by solver91311(16868)

Question 316345: 7x+y=-2
7x+37=8
Click here to see answer by checkley77(12569)

Question 316315: lauren lee makes $24 per hoour for a 40-hour week and a half for every hour over 40 hours.If lauren made $1140 last week, how many overtime hours was she paid for?
Click here to see answer by rfer(12644)

Question 316299: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to order. One design costs $20 per set and the other $45 per set. I have budgeted $6,800 to spend on the dishes, so how many of each will I order without going over budget?
Click here to see answer by checkley77(12569)

Question 316409: The cost in dollars for producing x units if a particular item is given by C (x) = .7x + 682.
How many units could be produced for a cost of $978?
Click here to see answer by Jstrasner(106)

Question 316408: If 6 items cost $900 to produce and 13 items cost $1600 to produce, find the linear cost function.
Click here to see answer by Fombitz(13828)

Question 316405: The supply and demand functions for chocolate ice cream are give by
and ,
where p represents the price in dollars.
Find the equilibruim price.
Click here to see answer by moshiz08(60)

Question 316448: if 4x-3y=11 and 3x-2y=8, what is the value of x-y? i know the answer is 3 but i have no idea how to get there. please show me step by step
Click here to see answer by Fombitz(13828)

Question 316490: Hello, do you know where I can find a non linear function solver that will help me solve two inputs?
Thank you for your help in advance
Click here to see answer by Fombitz(13828)

Question 316520: how do i solve this system by graphing?
y=-2x+1
3y=x-18
Click here to see answer by Fombitz(13828)

Question 316406: Suppose that a linear cost function for an item is given by C (x) = 50x + 300. the items sell for $75 each. Find the break - even quanity.
Click here to see answer by Fombitz(13828)

Question 316575: y = |x| - 3
How do i go about solving this with x as the absolute value?
Click here to see answer by Fombitz(13828)

Question 316577: a-(3-b)=2a-(10-5)
Click here to see answer by Fombitz(13828)

Question 316755: solve the system by the substitution method. Can you please show work!
2x+y=12
3x-y=13
Click here to see answer by jim_thompson5910(28476)

Question 316804: x-y=2
x+y=6
Click here to see answer by Fombitz(13828)

Question 316818: Please help factor and solve: Show steps
(x+3)(2x-1)=5

Click here to see answer by Fombitz(13828)

Question 316924: how many solutions are in this problem
2x + 5y = 11
10x + 25y = 55
Click here to see answer by Fombitz(13828)

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