Tutors Answer Your Questions about Linear-systems (FREE)
Question 215448: Ok wow I need some major help!! I need help on how to solve ordered pairs. I looked in my text book and that made me more confused!!
A) (-9,7), 7x+y<-9 What is the solution of the ordered pair?
B) 2x+9y=21, 5x-9y=-42
C) 2x+y=5, 3x+4y=-15
D) x=8, y=-7
E) Solve by te substitution method: 9m+n=8, m-9n=10
Click here to see answer by stanbon(57282)  |
Question 215574: Well, I didn't see linear programming anywhere, so I suppose this is the place to send in my question.
The available parking area of a parking lot is 600 square meters. A car requires 6 square meters of space, and a bus requires 30 square meters of space. The attendant can handle no more than 60 vehicles. If the parking fees are $2.50 for cars and $7.50 for buses, how many o feach type of vehicle should the attendant accept to maximize product? What would that profit be? Let X= the number of cars, let Y= The number of buses.
Note: My teacher used what he called "natural restrictions" when doing this on the board, and graphed the equations he got out of them. There was 4. (The >/= stnads for greater than or equal to, since I can't put in the actual symbol.)
1. x >/= 0
2. y >/= 0
3. x + y
4. 6x + 30y
Then he shaded in the area inbetween all the lines, and found the points which made up the shaded area. If it wasn't an already given exact point, he had to find it throught the two line equations which made up that particular point.
He went incredibally fast, and thus I wasn't able to understand much of any of it...
Click here to see answer by stanbon(57282) |
Question 215902: Find a point that solves all equations algebraically. The equations are:
8x+2y-z=-25
3x-3y+5z=10
-5x+6y-2z=17
I have tried several different times to solve by adding and subtracting the equations to get an equation with two solutions, then add and subtract those to solve for one variable and then be able to fill in a two variable equation to get the next variable and finally stick it all in an original equation to get the last variable. I tried substitution. I end up with really big, really ugly answers that, when plugged in, do not add up right. I don't know what else to try. Thank you for your help.
Click here to see answer by Alan3354(30993)  |
Question 216714: In a recent year, Americans spent a total of $35 billion to remodel bathrooms and kitchens. Twice as much was spent on kitchens as bathrooms. How much was spent on each?
I started setting up the problem like this:
x+2x=35 bill.
3x=35 bill.
Then divided both sides by 3. But the answer just doesn't look right.
Click here to see answer by rfer(12654) |
Question 216714: In a recent year, Americans spent a total of $35 billion to remodel bathrooms and kitchens. Twice as much was spent on kitchens as bathrooms. How much was spent on each?
I started setting up the problem like this:
x+2x=35 bill.
3x=35 bill.
Then divided both sides by 3. But the answer just doesn't look right.
Click here to see answer by jim_thompson5910(28536) |
Question 217067: I have to come up with my own system of equations with two variables (x,y). I am starting with a word problem first.
I drive 10 miles to school and 10 miles back. I go to school 4 days a week and gas costs $2.49. How many miles and how much gas do I use in one week?
I hope you can help me solve this. I made it up and I hope it works. I also need to graph the problem after it has been solved. Thanks
Click here to see answer by stanbon(57282) |
Question 217053: Hi, I need help with a problem involving systems of linear equations, addition (elimination)method. The answer to the problem is ( 2,1) according to the back of my text book but everything I have tried has resulted in different answers. I would greatly appreciate your help with this one and Thanks.
Here's the problem:
3x-4y=2
4x+3y=1
Click here to see answer by stanbon(57282) |
Question 217100: Solve by Cramer's Rule x=dx/d, y=dy/d, and z=dz/d
2x-y+3z=9
x+4y+4z=5
3x+2y+2z=5
I have worked this problem and I know it is not right because of the numbers I am getting. I do have that D is -40. I have dx is -20. I have dy is 210 and dz is 156. Something is not right in the way I set up teh matrix. Thanks for your help.
Click here to see answer by Alan3354(30993) |
Question 217255: I have to write a system of equations that can be used to solve this problem then solve the system and determine the answer. The problem is:
A lady can join a small business as a full partner and receive a salary of 12,000 a year plus 15% of the year's profit, or she can join as a sales manager with a salary of 27,000 per year plus 5% of the year's profit. What must the years profit be for her total earnings to be the same whether she joins as a full partner or as a sales manager?
I'm not sure if it's right or not but I came up with:
s=0.15p+12,000
s=0.05p+27,000 and what system should I use to solve it?
Click here to see answer by rfer(12654) |
Question 217289: Consider the following.
g(y) = 7 − 2y
Evaluate the function at each specified value of the independent variable and simplify. (If the function is undefined at the specified value, enter UNDEFINED.)
(a) g(0)
(b) g(7/2)
(c) g(s + 2)
Click here to see answer by RAY100(1637) |
Question 217540: Hi! Given a sequence like this:
when n=1, x=1
when n=2, x=5
when n=3, x=9
when n=4, x=13
... and so on, how do you come up with an equation to represent that relationship? I know the answer is 4n-3=x because I looked it up in the back of the book. But how do you figure that out on your own?
Please help! thank you!
cherilyn
Click here to see answer by scott8148(6628)  |
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