Tutors Answer Your Questions about Linear-systems (FREE)
Question 160343: -11x = 395 + y
14y = -634 - 10x
I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help.
Click here to see answer by scott8148(6628)   |
Question 160344: -11x - 3y - 10z = 17
-12x - 5y + 2z = 84
3x - 6y + 3z = 51
I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help.
Click here to see answer by scott8148(6628) |
Question 160345: -3x + y + 11z = -410
-4x - 6y + 5z = -214
-2x - 2y + 6z = -244
I need to solve this using any method, but id like to see the steps and the correct answer. I'm not sure where to start with this one, im just lost. Thank you so much for all your help.
Click here to see answer by scott8148(6628) |
Question 160365: -4x - 5y - 8z = 268
-10x + 7y + 6z = -786
-12x + 9y - 2z = -548
I need to solve this using any method, but id like to see the steps and the correct answer. I'm not sure where to start with this one, im just lost. Thank you so much for all your help.
I tried to do this on my own, i thought i should multiply the first equation by 3 and add to the 3rd equation,but im not sure what to do next, or if that was even where to start.
Click here to see answer by scott8148(6628) |
Question 160537: 
I need to solve this using any method. Id like to see the steps and the correct
answer. I think maybe I should start by multiplying the 3rd equation by 2 and
then subtract it from the 1st equation? I'm trying to make sense of this but I
just cant figure it out. I really appreciate your time. Thank you.
Click here to see answer by vleith(2825) |
Question 160537:
I need to solve this using any method. Id like to see the steps and the correct
answer. I think maybe I should start by multiplying the 3rd equation by 2 and
then subtract it from the 1st equation? I'm trying to make sense of this but I
just cant figure it out. I really appreciate your time. Thank you.
Click here to see answer by Edwin McCravy(8999)  |
Question 160518: -5x - 4y + 12z = -140
9x - 8y + z = -649
3x - 2y + 6z = -290
I need to solve this using any method. Id like to see the steps and the correct answer. I think mabye i should start by multiplying the 3rd equation by 3 and then subtract it from the 2nd equation? I'm trying to make sence of this but i just cant figure it out. I really appericiate your time, thank you.
Click here to see answer by Fombitz(13828)  |
Question 160708: Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $6500 in 1982 and $64,500 in 1987. Let x =0 represent 1982. Find the equation giving yearly sales S(x).
Available choices:
S(x)= 11,600x + 6,500
S(x)= 58,000x + 64,500
S(x) = 58,000x + 6,500
S(x)= 11,600x + 64,500
Click here to see answer by gonzo(654) |
Question 160783: A High school class wants to raise money by recycling news papers. The class decides to rent a truck at the cost of $150 for the week. The market price for recycled news papers is $15 per ton. Write an equation represent the amount of money the class will make based on the number of tons of news papers collected. Explain.
Click here to see answer by KnightOwlTutor(293)  |
Question 160785: A man walks at the pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time after the rest when he continues to walk . Let d be the total distance traveled since he started. Write an equation linking d and t.
Click here to see answer by KnightOwlTutor(293) |
Question 161754: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 4y = 1
-10x + 8y = -3
Click here to see answer by Fombitz(13828) |
Question 161845: adult tickets for the school musical sold for $3.50 and student tickets sikd fir $2.50. Three hundred twenty one tickets were sold altogether for $937.50 How many of each kind of ticket were sold?
Notice that in problems like this you have to consider two things:
prices
quantity of tickets sold
You cannot combine them in only one equation because they represent different things; so you will need two equations.
Now before we construct the two equations; lets set up our variables
Let a represent adult tickets
Let s represent student tickets
Now lets look at what we now about these two when thinking about them in money terms:
$3.50 per adult
$2.50 per student
Total made $937.50
Lets show it algebraically: 3.50a + 2.50s=$937.50
When thinking about the tickets in numbers we now the number sold were 321 so algebraically a + s = 321
Two equations; two variables; we can solve...........
a + s = 321 ....... which is the same as.... s= 321 - a
3.50a + 2.50s = 937.50
Since s = 321-a, we can substitute this into second equation:
3.50a + 2.50(321-a)=937.50
3.50a+802.5-2.50a=937.50
3.50a-2.50a+802.5=937.50
1.00a+802.5=937.50
a=135
Then s=321-135
s=186
Check:
a+s=135+186=321 check
3.50a+2.50s=3.50(135)+2.50(186)=472.50+465=937.50 check
Click here to see answer by eperette(173) |
Question 161753: solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + 2y = 5
3x + 4y = 1
Click here to see answer by elima(1433) |
Question 161892: Rewrite the equation 4x - 10y = 11 as a function of x.
This is what I have but I think it's wrong.
4x-10y=11
-10y=-4x+11
To get y by itself I do : y=-4/-10x+11/10 (thats -4 over -10 and 11 over -10)
Simplified it would be y=-2/5x+11-10 (thats -2 over 5 and 11 over 10)
What am I doing wrong??
Click here to see answer by Earlsdon(6294) |
Question 162508:
2. Is it possible for the graph of an inequality to consist of only one number? If so, explain how it is possible and provide an example to support your answer. I know the answer is yes but having trouble explaining how it works on a graph.
Click here to see answer by vleith(2825) |
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