Tutors Answer Your Questions about Linear-systems (FREE)
Question 4158: How do I solve an equation such as x+4y=8 or 3x-5y=16,to determine whether the given points, (0,2) and (2,2) are the solutions to the given equation? Also how would I determine the value of b so that the point given is a solution point of the equation, such as (3,0), 2x-y=b or (-5,6), 3x-2y=b?
Click here to see answer by Earlsdon(6294)  |
Question 4179: Need another soloution to the question previously asked
Solve the following system of equations
3x-2y+4z=1
x+y+2z=3
2x-3y+6z=6
I previously did not understand your answer and per your advisement is seeking another solution (in other words had not idea what you were "talking about") :-)
Click here to see answer by longjonsilver(2297)  |
Question 5428: In 7 years Deac will be twice as old as Irina. Four years ago he was three times as old as Irina was then. How old are each of them now?
I can not figure out how to set up the equations! The book says the answers are: Deac is 37 and Irina is 15. I do not come up with those ages. I have been using: x = Deac, y = Irina x + 7 = 2y and x - 4 = 3y. Help! What am I doing wrong? Thank you - Janette
Click here to see answer by rapaljer(4671)  |
Question 5779: I really don't understand this question:
The cost to rent a car is given by the formula C= 50d + 0.2k,
where d = the number of days rented
and
k= the number of km driven.
Lin has $300 to spend on car rental for her 4 day holiday. How far can she travel on this holiday?
Click here to see answer by longjonsilver(2297) |
Question 5893: Okay here is the question.
Take a look at the table below and write out an equation for f(x).
x -2 -1 0 1 2
f(x) -5 -2 1 4 7
Now. Here is what I thought might be right. Follow the y2-y1/x2-x1 and put in some numbers. So I put in 7-4/2-1 which = 3/1
So then the equation I got was y=(3/1)x+b
Is that the correct answer? I don't really know whether or not I found what was specified. Thank you for all your help.
Click here to see answer by longjonsilver(2297) |
Question 5887: Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $2 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
I know this may seem really easy, but I have been looking at it forever and I can't figure it out. I want to help my cousin with his homework but it's above my head. Thanks for all your help.
Click here to see answer by longjonsilver(2297) |
Question 5794: I am having difficulty solving this problem 4x-4yis greater than or equal to 8. My solution is as follows: ___-4y is greater than or equal to 4x-8 both sides divided by 4 and my answer is y is less than or equal to -2
Click here to see answer by longjonsilver(2297) |
Question 6156: The whole third variable thing confuses me. When I try and do it by substitution I always end up with this long chain that I don't know how to reduce to find the answer for the second variable. Thanks in advance.
Solve for X, Y and Z
22X + 5Y + 7Z = 12
10X + 3Y + 2Z = 5
9X + 2Y + 12Z = 14
Click here to see answer by glabow(165) |
Question 6301: Problem Solving Using Systems of Equations
I purchased tickets to an air show for 5 adults and 2 children. The total cost was 162. The cost of a child's ticket was $3 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket.
Click here to see answer by minerva(22) |
Question 6311: Problem Solving Using Systems of Equations
Julie and Eric row their boat(at a constant speed) 55 miles downstream for 5 hours, helped by the current. Row at the same rate, the trip back against the current takes 11 hours. Find the rate of the current.
Click here to see answer by Earlsdon(6294) |
Question 6381: Find the equation of line which is perpendicular to the line y = x + 1 and passes the point (1,3)
I need HELP!!!!!! Thank you. If possible an immediate response would be greatly appreciated. Thank you again.
Click here to see answer by Earlsdon(6294) |
Question 6390: can you solve these problems in steps?
Set2
1. solve the equation 5x+3=-15, for x if y=0.
2. Find the x-intercept for the equation 6x-y=-12
3. determine the equation of the line with slope -3 and containing(-7,2)
4. Given the following,write an equation in standard form. The line y-intercept 5 and slope2.
9. find the slope for the equation x-2y=6.
10.for the equation x-2y=6, is the point(4,-1) on the line
Set3
7. a brownie recipe that makes 36 brownies calls for 1 1/2 cups of sugar. How many cups of sugar are needed to make 24 brownies?
Set4
1. write an example of quadratic trinomial?
2. Perform the indicated operations: (7x to the 3rd power-5x+2)-(5x to the 3rd power-4x to the 2nd power +6x-7)
3. multiply 6xto the 2nd power(5x-3)
4. multiply(5a-3)(2a+4)
5. simplify (3x to the 2nd Power)(-2xto the 5th power)
6. simplify (5a b to the 3rd power)to the 2nd power
7. simplify (4a to the 3rd power)to the 2nd power (3a) to the 2nd power
8. simplify 10x to the 5th power y to the 4th power
15x to the 3rd power y to the 9th power
9. multiply (x-3) to the 2nd power
10. multiply (a-4)(a+4)
Set5
1. Factor completely: x to the 2nd power - 7x-30
2. Factor completely : x to the 2nd power + 4x-16
3. Factor completely 2x to the 2nd power - 11x +5
4. Factor completely 4x to the 2nd power + 20x-24
5. Factor completely 4m to the 2nd power - 9
6. Factor completely 16a to the 2nd power- 25b to the 2nd power
7. solve by factoring: x to the 2nd power - x - 12 = 0
8. solve by factoring: 2c to the 2nd power -5 = -9c
9. solve the equation(x+6)(x-7)(x-8)(x+9)=0
10. find the dimensions of the rectangle if the width is 3 feet less than the length and the area is 40ft to the 2nd power.
Set6
1 simplify: 3x - x+5
x+4 x+4
2.simplify: 6x x 10y
5y 8x
9. solve by the quadric formula : 2x to the 2nd power + 10x + 25 =9
10. solve: x to the 2nd power +10x +25=9
Click here to see answer by rapaljer(4671) |
Question 6471: Hi there,
I am confronted with the following question:
"A job takes 4 hrs for two people working together. If one person works alone he can do the job in 6 hrs. How long will it take the other person working alone to complete the job?"
I don't really know how to approach this question. It seems so simple yet I can't seem to figure out why the answer is 12 hrs. Please help me out.
Thanks in advance,
Mike
Click here to see answer by Earlsdon(6294) |
Question 6482: Dear Sir/Madam,
I am confronted with the following problem:
"Rationalize the denominator: ( + 5) / ( - 5)"
In order to solve this problem I squared the entire fraction, giving me:
(x+10+25) / (x-10+25)
but that is not the right answer. What am I doing wrong?
Thank you in advance.
Regards,
Mike
Click here to see answer by rapaljer(4671) |
Question 6483: Dear Sir/Madam,
I am confronted with the following problem:
"T varies directly as the cube of a and inversely as the square root of d. If T = 4 when a = 2 and d = 9, find T when a = -1 and d = 4."
I really don't know how to approach this question. Can you help me?
Best regards,
-Mike
Click here to see answer by longjonsilver(2297) |
Question 6470: Hi there,
I am confronted with the following question:
"Solve the inequality and express the solution in terms of intervals: (4x-3)(x+7)<=0."
Now when I go to solve this, I would do the following:
4x<=3
x<=3/4
And step 2:
x<=-7
Why is that wrong?
In solving inequalities, I thought the rule of thumb is to only flip the inequality sign when you multiply or divide by a negative. However, in order to get the correct answer for this question I would need to switch the inequality sign in step 2, even though all I am doing is subtracting 7 on both sides.
Thanks in advance,
Mike
Click here to see answer by longjonsilver(2297) |
Question 6510: Dear Sir/Madam,
I am confronted with the following problem:
"The point (12,-16) is on the terminal side of the angle theta. Find tan(theta)."
I am a little confused as to what they mean by terminal side. I played around with this question and got the answer to be -4/3, which is right, but could you explain the terminal side idea to me a bit?
Thanks in advance.
Regards,
-Mike
Click here to see answer by longjonsilver(2297) |
Question 6509: Dear Sir/Madam,
I am confronted with the following problem:
"The angles with measures listed are all coterminal except:
A. π/3
B. -5π/3
C. -300 degrees
D. 420 degrees
E. -60 degrees"
What does coterminal mean and how would I solve this problem?
Thanks in advance.
Regards,
-Mike
Click here to see answer by longjonsilver(2297) |
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