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

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Question 315108: 7r/12 = -14
Click here to see answer by Fombitz(32388)

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(32388)

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(1862)

Question 315153: solve the linear equality. Use interval notation to express the solution -7x>=21
Click here to see answer by user_dude2008(1862)

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(20056)

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(75887)

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(32388)

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(24713)

Question 316345: 7x+y=-2
7x+37=8
Click here to see answer by checkley77(12844)

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(16322)

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(12844)

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(112)

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(32388)

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(32388)

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(32388)

Question 316520: how do i solve this system by graphing?
y=-2x+1
3y=x-18
Click here to see answer by Fombitz(32388)

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(32388)

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(32388)

Question 316577: a-(3-b)=2a-(10-5)
Click here to see answer by Fombitz(32388)

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(35256)

Question 316804: x-y=2
x+y=6
Click here to see answer by Fombitz(32388)

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

Click here to see answer by Fombitz(32388)

Question 316924: how many solutions are in this problem
2x + 5y = 11
10x + 25y = 55
Click here to see answer by Fombitz(32388)

Question 316769: Could someone help me with this problem? I am confused?

Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $80 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 20% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills.
Click here to see answer by ankor@dixie-net.com(22740)

Question 316845: (45x-60X)(67x+23x)+(90-67x)
solve this sum for me
Click here to see answer by Fombitz(32388)

Question 316962: Nicky said, "you'll never guess my numbers! Their sum is 12 their diffence is 26." Are there such two numbers? if so what are they."
Variables:
Equation:
Answer:
Click here to see answer by unlockmath(1688)

Question 316964: A 96 inch board is cut into two pieces, one piece is 8 inches longer than the other. how long should each piece be?
Click here to see answer by JBarnum(2146)

Question 316991: Toni said "i bet you cant guess my numbers! the first is five more than the second. if you add the first to three times the second you get 29." what are toni's numbers?
Click here to see answer by mananth(16946)

Question 316957: "the halks still have a narrow edge over the pioneers in this basketball game. they're leading 51 to 49. the pioneers have scored 30 times,the halks 29. so far neither team has made ant three point baskets."
How many two-point baskets and how many free throws have the pioneers made?
Variables:
Equation:
Answer:
Click here to see answer by josmiceli(19441)

Question 317072: Solve the system of equations and enter the solution as an ordered pair.
2x-5y=-6
8x+3y=68
Click here to see answer by texttutoring(324)

Question 317271: Solve the following system of equations using the inverse matrix method.
x+3y=6
x-2z=-1
3y+z=5
x=
y=
z=
Click here to see answer by Fombitz(32388)

Question 317273: Solve the following system of equations.
3x+5y=-11
x-2y=11
(x,y)=?
Click here to see answer by JBarnum(2146)

Question 317344: Please Help. I believe that A+B ARE DONE , BUT C IS GIVING ME A PROBLEM. i HAVE WORKED THIS PROBLEM SEVERAL TIMES AND CAN'T FIGURE IT OUT??

Scenario #1: You handle internal accounting for Triad Homes, a land/housing developer. The company purchased land in South Florida and developed 250 acres. Two orders were recently placed with a nursery by the company�s landscapers. The invoices from the orders do not list the per-item price.
a) After contacting the Nursery, they inform you that the first order that was placed was for 12 Indian Hawthorn bushes and 5 Maple trees at a cost of $300.00. Use x to represent bushes and y to represent the trees. Write an equation that illustrates the situation.
12X+5Y=300 <--- IS THIS CORRECT????
b) The Nursery later indicates that the second order called for 6 Indian Hawthorn bushes and 8 Maple trees at a cost of $315.00. Write an equation that illustrates this situation using the same variables you used in part a.
6X+8Y=315 <----- IS THIS CORRECT?
c) Use the equations from parts a and b as a system of equations. Use elimination to determine the cost of each. Describe the steps you used to solve the problem
Click here to see answer by stanbon(75887)

Question 317583: How do I write 8x+83=y in y=mx+b form ?
Click here to see answer by Alan3354(69443)

Question 317725: Solve each system, if possible.. Please show all steps
3x+y+z=0
2x-y+z=0
2x+y+z=0
Click here to see answer by Alan3354(69443)

Question 317903: Solve the system by the sustitution method: 3x - 2y = 0
5x + 10y =4
Click here to see answer by stanbon(75887)

Question 318028: 3x-4y=24
Click here to see answer by jim_thompson5910(35256)

Question 318043: find an equation of the line through (2,8) and parallel y=2x+7
Click here to see answer by Alan3354(69443)

Question 318063: Terry did all 25 problems on the test and got an 85. Scores are computed by giving 4 points for each right answer and subtracting 1 point for each wrong answer. How many problems did terry get right and wrong?

Click here to see answer by Earlsdon(6294)

Question 318042: solve with the elimination method
3x-6y=4
3x-6y=5
The solution is an ordered pair;
Click here to see answer by jim_thompson5910(35256)

Question 318336: Solve the following system of equations. Please show your work to receive full credit.
x - y = 16
2x + y = 2
Part 2:
Explain which method you chose to solve the system and why you felt it was the best choice.
Click here to see answer by solver91311(24713)

Question 318411: Carmen is 6 years older than mike. In two years Carmen will be twice as old as mike. What are their ages?
Click here to see answer by mananth(16946)

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