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

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Question 898517: A health-food store sells trail mix made with granola and dried fruit. Th e store
buys granola at $1.00/lb and dried fruit at $2.00/lb, and it sells these items at a
25% markup. If the trail mix sells for $1.75/lb, what is the recipe for trail mix?

Click here to see answer by josgarithmetic(39617) About Me 

Question 899022: solve the following system by elimination
4x-y=3
2x+3y=19
I got y=4x-3
2x+3(4x-3)=19
2x+12x-9=19
14x/14 = 28/14
x=2

4(2)-y=3
8-y=3
is the answer -y=5 or turn to y=-5?

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

Question 899020: Use your calculator and the zero application to approximate the solution to
7x-3=0
I don't want the answer, just the steps in how to do this.


Thanks, in advance

Click here to see answer by stanbon(75887) About Me 

Question 899023: Use your calculator and the zero application to approximate the solution to
7x-3=0
Can you tell me the steps I need for the answer?
How do i change it so its y= in order to put in calculator?

Click here to see answer by stanbon(75887) About Me 

Question 899030: solve following system by elimination:(addition)
4x-y=3
2x+3y=19
I got 4x -y =3
-4x -6y=-38
I know the 4x and -4x gets canceled, so do i get -7y=-34 and then y=-27 and plug it like 4x-(-27)=3? Not sure if I am doing this right.
Thanks in advance

Click here to see answer by Fombitz(32388) About Me 

Question 899303: elimination
5x + 2y = 26
7x + 6y = 14

Click here to see answer by mananth(16946) About Me 

Question 899352: test for consistency and if consistent solve
x-4y+7z=14
3x+8y-22z=13
7x-8y+26z=13

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

Question 899384: If 120+x=132+y, what are x and y?

Click here to see answer by Fombitz(32388) About Me 

Question 899624: I have to solve for x and y and graph it but please just show me how to find the x and the y.
2x-2y=4
y-x=6
I am honestly so confused on how to do this so please try to explain how you solved the answer in details with work shown.

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

Question 899625: ] I am honestly so confused on how to do this so please try to explain how you solved the answer in details with work shown.
Click here to see answer by ewatrrr(24785) About Me 
Question 899625: ] I am honestly so confused on how to do this so please try to explain how you solved the answer in details with work shown.
Click here to see answer by richwmiller(17219) About Me 

Question 899674: Solve each system:
7x+2y=-8
8y=4x
Please show me the steps on how to do this! I don't know how to do it. I only do well with substitution.

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

Question 899754: Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + 2y + z = −7
x + z = −3
4y − 3z = 13

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

Question 897391: Sarah Meeham blends coffee for tasti delight. she needs to prepare 140 pounds of blended coffee beans selling for $4.50 per pund. She plans to do thid by blending together a hig-quality bean costing $5.50 per pound and a chaper bean at $3.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend
Click here to see answer by richwmiller(17219) About Me 

Question 899920: what are the missing values for 12x-8y=16?
Click here to see answer by richwmiller(17219) About Me 

Question 899950: Write an equation in standard form using only integers for a line that passes through the point (-6,7) and is perpendicular to the line:
x=-10

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

Question 900020: At the café the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price of each type of dinner?
Click here to see answer by stanbon(75887) About Me 

Question 900049: write an equations of the line that passes through points (25, 100) and (15, 120)
Click here to see answer by richwmiller(17219) About Me 

Question 900027: Belinda had &20,000 to invest. She invested part of it at 10% and the remainder at 12%. If her income from the two investments was $2160, then how much did she invest at each rate?
Click here to see answer by richwmiller(17219) About Me 

Question 900421: 2x-y=2
2x-2y=4

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

Question 900464: Find two integers whose product is 250 such that one of the integers is five less than three times the other integer.
Click here to see answer by stanbon(75887) About Me 

Question 900477: 1/4 - 1/10 divided by 3/4 + 9/10
Click here to see answer by JulietG(1812) About Me 

Question 900485: Can you help me Please. Find R if a=7, b=3, c=2, d=4 and e=5: R = a + 2b + 5c + d + 2e. The book says the answer is R = 33. I get R = 37. Here is how I solved the problem.
7 (1) + 3 (2) + 2 (5) + 4 + 5 (2) simplify that
7 + 6 + 10 + 4 + 10. Multiply R = 37
The book says should be R = 33. What am I doing wrong. Is the book have a typo error. If this works out im looking for a tutor with math. Thank you for your time.

Click here to see answer by ewatrrr(24785) About Me 
Question 900485: Can you help me Please. Find R if a=7, b=3, c=2, d=4 and e=5: R = a + 2b + 5c + d + 2e. The book says the answer is R = 33. I get R = 37. Here is how I solved the problem.
7 (1) + 3 (2) + 2 (5) + 4 + 5 (2) simplify that
7 + 6 + 10 + 4 + 10. Multiply R = 37
The book says should be R = 33. What am I doing wrong. Is the book have a typo error. If this works out im looking for a tutor with math. Thank you for your time.

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

Question 900265: a man and his dog running on a straight beach.at a given point in time the dog is 12m from his owner who starting in a direction perpendicular to the beach with a certain constant speed. the dog runs twice as fast and always to wards his owner where do the man and his dog meet?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 900742: can you determine the type and the solution set of this system of equation:
5x-2-5=0
3x+y-3=0 ?

Click here to see answer by mananth(16946) About Me 
Question 900742: can you determine the type and the solution set of this system of equation:
5x-2-5=0
3x+y-3=0 ?

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

Question 900094: -4y = 5x + 7
4y + 5x = 12

Click here to see answer by Fombitz(32388) About Me 

Question 901019: Please show me the rule to solve the equ. X^3+8=0
Click here to see answer by ewatrrr(24785) About Me 

Question 693201: Loan Balance: $9,440.00
Adjusted Loan Balance: $9,440.00
Loan Interest Rate: 3.50%
Loan Fees: 0.00%
Loan Term: 10 years
Minimum Payment: $50.00
Enrollment Status: In Repayment
Degree Program: Bachelor's Degree
Monthly Loan Payment: $93.35
Number of Payments: 120
Cumulative Payments: $11,201.75
Total Interest Paid: $1,761.75

2.Write a linear equation describing your monthly student loan balance.
3.Make a table of values describing the monthly loan balance for six months

Click here to see answer by ccallaway(1) About Me 

Question 901414: Solve the system of linear equations using the Gauss-Jordan elimination method.
− x2 + x3 = 1
4x1 − 3x2 + 2x3 = 18
3x1 + 2x2 + x3 = 13

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

Question 901437: Formulate a system of equations for the situation below and solve.
A private investment club has $400,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 13%/year; medium-risk stocks, 10%/year; and low-risk stocks, 7%/year. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $37,600/year on the total investment. (Assume that all the money available for investment is invested.)

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

Question 901429: Formulate a system of equations for the situation below and solve.
The Johnson Farm has 400 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (including seeds and labor) is $48 and $36 per acre, respectively. Jacob Johnson has $18,600 available for cultivating these crops. If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

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

Question 901445: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)
x + y − 2z = −1
2x − y + 3z = 6
x − 2y + 5z = 4

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

Question 901529: 2/3x + 3/5= 1/5 - 2x
Click here to see answer by stanbon(75887) About Me 

Question 901710: Solve equation by using algebra
3x^2-18x-48=0
Not sure how to start, if using quadratic formula right away or do i have to do something before. Can you please show me the steps to solve.

Thanks in advance.

Click here to see answer by harpazo(655) About Me 

Question 901777: 6 + x
––––––– = 3/8
7x + 2/3

Click here to see answer by josgarithmetic(39617) About Me 

Question 901802: Solve the following equation for q:
\sqrt[4]{7 q - 9} = 1

Click here to see answer by stanbon(75887) About Me 

Question 902070: The sum of the digits of a three digit number is 13. When 11 is subtracted from the sum of the hundreds digit and tens digit, the answer is equal to the units digit. Additionally, when the digits are reversed, the new value is 495 less than the original number.
Click here to see answer by Edwin McCravy(20056) About Me 

Question 902108: hope you can help
i₁ + 8i₂ +3i₃ =-31
3i₁ - 2i₂ + i₃ =-5
2i₁ - 3i₂ + 2i₃ = 6
solve for i₁, i₂,i₃
Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 902131: How would I set up and solve this equation? Please show all your work
You are going to make and sell bread. A loaf of Irish soda bread is made with 2 c flour and 1/4 c sugar. Kugelhopf cake is made with 4 c flour and 1 c sugar. You will make a profit of $1.50 on each loaf of Irish soda bread and a profit of $4.00 of of Kugelhopf. You have 16 c flour and 3 c sugar. How many of each kind of bread should you make to maximize the profit? What is the maximum profit?

So far I know P=1.50x + 4y
.25x+1y≤3
2x+4y≤16
I dont know what to do after please help

Click here to see answer by Theo(13342) About Me 

Question 902189: Suppose a company total cost and total revenue for product is:
C(x)=15,000+35x+0.1x^2
R(x)= 285x-0.9x^2
1. Find the profit function and simplify the result
Is it R=C to get the profit? So do i put the equation like 285x-0.9x^2=15000+35x+0.1x^2 in order to solve this?
Thanks

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

Question 902317: My question is find what x and y is.
The equations are:
x - y = 5
and
x * y = 8

Click here to see answer by MathLover1(20850) About Me 
Question 902317: My question is find what x and y is.
The equations are:
x - y = 5
and
x * y = 8

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

Question 902359: A merchant plans to sell two models of compact disc players at costs of $250 and $400. The $250 models yields a profit of $45, and the $400 model yields a profit of $50. He merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $70,000 in inventory for these products. Find the number of units of each model that should be stocked in order to maximize profit.
So far I have the constraints
P=250x+400x<=70,000
x+y<=250
x=>0
y=>0
Also how do I make this "The $250 models yields a profit of $45, and the $400 model yields a profit of $50" into an equation? Please show all your work I really need to understand this.

Click here to see answer by stanbon(75887) About Me 

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