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

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Question 55056: Hi, the question I have is
a manufacturer of tv dinners has monthly revenue of R= -q^2+25q
R is revenue in hundreds of dollars when q dinners are produced.
Cost function is C=4q+40 where C is also in hundreds of dollars.
Manufacturer is limited to producing 2500 dinners per month.
Solve the equations and use a graph to show how manufacturer can operate a profit.
To solve the equations would I have 2500= (-q^2+25q) - (4q+40) since profit is cost-revenue.
So then I have 2500= -q^2 + 25q -4q -40
2500 = -q^2 + 21q -40
2500+40 = -q^2 +21q
2540 = -q^2 +21q
equation to make profit would be -q^2 + 21q - 2540
Then do i find points from this equation to graph it??
I really have no idea and am working with a guess.
Tahnks for any help you could possibly give me!!

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

Question 55054: Hi, I have the following question and I don't know what to do.
It is the demand for goods is p^2 + q^2 = 169 where p is price and q is quantity. The supply equation is p = q + 7.
What are the equilibrium price and quantity?
I'm unsure but i'm assuming that equilibrium is where supply equals demand
but the demand equation has roots, so would it be p+q= square root of 169
then that equals p-q-7.
But i still from that cannot get a price for p and a price for q.
I'm extremely stuck and any help would be greatly appreciated.

Click here to see answer by Hook(36) About Me 

Question 55257: write the slope-y-intercept equation form of the line which has slope 2/3 and passes through the point: (-3,3)


write the point-slope equation form of the line which passes through 2 points: (-9,0), (-5,3)

write the general equation form of the line which passes through the 2 points:(1,2), (6,7)

Click here to see answer by venugopalramana(3286) About Me 

Question 55432: I cannot figure this one out and I have been trying for a while now. I need help please. Please show me the steps to solve this. D Steele
Solve the system by substitution:
3X + 5Y = 2
Y = -X + 2

Click here to see answer by Edwin McCravy(20056) About Me 

Question 55338: Can you please help me solve the system ? x\4 - y\3 = -3\4

x\2 - y\3 = -1\2

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 55549: i need help with this
8(x+5)=7(x+8)

Click here to see answer by checkley71(8403) About Me 

Question 55551: can you please help me solve this:Ax+By=-28 contains the points (-8,4)(-11,9)
Click here to see answer by tutorcecilia(2152) About Me 

Question 55625: what quadrants will this line intersect
y=-4x+1

Click here to see answer by venugopalramana(3286) About Me 

Question 55615: find the point of intersection for the lines below using the substitution
3x+2y=4
y=1-2x

Click here to see answer by Cintchr(481) About Me 

Question 55614: find the point of intersection for the lines below using the substitution
3x-4y=6
x=3y+2

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

Question 42919: More important than telling me what the solution is, is telling me how, in simple (non-textbook, complicated words) terms how to solve problems such as these. I read and re-read the chapters that explain this problem but it is way over my head and I am getting physically ill from the stress. Please help?!?!?
Thank you so much,
G. I. Archer

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

Question 55752: 5x-y=10
2x+y=4

Click here to see answer by checkley71(8403) About Me 

Question 55830: QUESTION: SOLVE EACH OF THE FOLLOWING BY USING EITHER ADDITION OF SUBSTITUTION. IF A UNIQUE SOLUTION DOES NO EXIST, STATE WHETHER TH SYSTEM IS DEPENDENT OR CONSISTENT.
38. 10X+2Y=7
Y= -5X+3

Click here to see answer by funmath(2933) About Me 

Question 55895: QUESTION: SOLVE THE SYSTEM BY GRAPHING
X-Y=5
X+Y=3

Click here to see answer by funmath(2933) About Me 

Question 55894: QUESTION: SOLVE THE SYTEM BY ADDITION
-5X+2Y=10
X-3Y=11

Click here to see answer by junior403(76) About Me 

Question 55821: 2a-5b+c=5
3a+2b-c=17
4a+3b+2c=17

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 55956: Heres the problem, Sergio sells a mixture or Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts that cost $3 per pund. He mixes 10 pounds at a time. (a)How many pounds or Virginia peanuts does Sergio use? (b)How many pounds Spanish peanuts does Sergio use?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 55978: I have the equations
3x+ y+2z=6
x+ y+4z=3
2x+3y+2z=2
I'm supposed to solve using elimination. I've tried eliminating every variable but the answer is never right when i check it. Please help.

Click here to see answer by funmath(2933) About Me 

Question 56169: please solve the system
y=4x+3
4y-20x=-8

Click here to see answer by checkley71(8403) About Me 

Question 56168: the ordered pair (1, -2) is a solution of the following system..true or false?
x+y=-3
x-y=1

Click here to see answer by checkley71(8403) About Me 

Question 56166: solve the system
7x+3y=-2
-7x-7y=14

Click here to see answer by checkley71(8403) About Me 

Question 56167: (1, -4, 3) is the solution to the system, true or false?
x+y+z=0
x-y+5z=20
5x+y+z=4

Click here to see answer by Cintchr(481) About Me 

Question 56258: A company that manufactures bikes has a fixed cost of $100.00. It costs $100.00 to product each bike. The selling price per bike is $300.00
1. write the cost function, C
2. write the revenu function, R
3. determine the breat-even point. Describe what this means.

Click here to see answer by funmath(2933) About Me 
Question 56258: A company that manufactures bikes has a fixed cost of $100.00. It costs $100.00 to product each bike. The selling price per bike is $300.00
1. write the cost function, C
2. write the revenu function, R
3. determine the breat-even point. Describe what this means.

Click here to see answer by Edwin McCravy(20056) About Me 

Question 56256: please solve the system:
x+y=-5
x-y=12

Click here to see answer by Cintchr(481) About Me 

Question 56265: Dear turors I ask of help from someone concerning this problem
Solve the system by graphing
2x+y=4
x+y=3

Click here to see answer by funmath(2933) About Me 

Question 56254: please solve the system
3x+4y=-2
x=-2y

Click here to see answer by funmath(2933) About Me 
Question 56254: please solve the system
3x+4y=-2
x=-2y

Click here to see answer by checkley71(8403) About Me 

Question 56277: A company that manufactures bikes has a fixed cost of $100,000. It costs $100.00 to product each bike. The selling price per bike is $300.00
1. write the cost function, C
2. write the revenu function, R
3. determine the breat-even point. Describe what this means.
you guys were right, i DID type the fixed cost wrong lol, thanks for your help!

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

Question 56165: solve the system:
-32+3z=4(x-2y)
4(x-2y-z)=-36
-2(2x+y)+2z=-12

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 56376: solve the system
3x+4y=40
x-2y=0

Click here to see answer by scoop(27) About Me 

Question 56380: please solve the system:
x+y=10
y=4x

Click here to see answer by Edwin McCravy(20056) About Me 

Question 56379: solve the system:
x+6y=24
-6x+5y=-21

Click here to see answer by Lacey020991(49) About Me 

Question 55619: 2x-y=5
3x+y=5
find the point of intersection for the lines below by graping

Click here to see answer by rchill(405) About Me 

Question 52000: Find the exact decimal value for k where the system of equations has no solution.
5x - 4y = 8, 10x + ky = 11
Help please! Thanks!

Click here to see answer by rchill(405) About Me 

Question 56377: the ordered pair (5,6) is a solution to the system:
x=y=11
x-y=-1
true or false?

Click here to see answer by rchill(405) About Me 

Question 55926: 12x+3+ 4x-7
Click here to see answer by rchill(405) About Me 

Question 48127: We were told to solve these systems by graphing but, on the graph he has a place for six points it is mapped out as:
x y1 y2
0 0 0
0 0 0
My first problem is x + 2y = 4
x + 2y = -2
My solutions were x = (0,2) (4,0)
y = (-4,1)(0.-4)
How do i graph this where do I place the numbers on the graph.

Click here to see answer by rchill(405) About Me 

Question 47033: {-4y=-90+2x
y=1/8x+25/8

Click here to see answer by rchill(405) About Me 

Question 56375: please solve the system
x-y+2z=7
2x+z=4
x+5y+z=9

Click here to see answer by AgusKwan(7) About Me 

Question 56519: 8.3 # 28
Solve by substitution
Mcgraw Hill 6th editon,
Thank you for your time!!
4x-12y=5
-x+3y= -1

Click here to see answer by funmath(2933) About Me 

Question 56518: 8.3 # 20
Solve by substitution
Mcgraw Hill 6th editon,
Thank you for your time!!
8x-4y=16
y=2x -4

Click here to see answer by funmath(2933) About Me 

Question 56573: plese help me out with this. Im totally confused on what to do. Heres the problem- An express train travels 80km per hour from Ironton to Wildwood. A local train, traveling at 48km per hour, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood?
Click here to see answer by tutorcecilia(2152) About Me 
Question 56573: plese help me out with this. Im totally confused on what to do. Heres the problem- An express train travels 80km per hour from Ironton to Wildwood. A local train, traveling at 48km per hour, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 56588: solve the system:
4x+5y = -24
x-5y = 19

Click here to see answer by checkley71(8403) About Me 

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