Do you meanOcaliptusP said:Homework Statement
What is x ?( Assuming x and y are positive)
Homework Equations
1000/x=3600 + (3600(y-x)+1000)/x+yThe Attempt at a Solution
[/B]
Calculator gives it as x=5/36 but I cannot find a way to get that?
In general, yes.Ray Vickson said:In either case you have only one equation in two unknowns x and y, so there will generally be an infinite number of different solutions.
Just multiply it out and simplify. Post your working as far as you get.OcaliptusP said:I cannot find a way to get that
It's the second one. I put it on the calculator and give the result as x=5/36?Ray Vickson said:Do you mean
$$ (1): \; \;\; \frac{1000}{x} = 3600 + \frac{3600(y-x) +1000}{x} + y$$
or do you mean
$$(2): \; \;\; \frac{1000}{x} = 3600 + \frac{3600(y-x) +1000}{x+ y}$$
In either case you have only one equation in two unknowns ##x## and ##y##, so there will generally be an infinite number of different solutions. For example, if you put ##y=0## you will get one solution ##x##, if you put ##y = 1000## you will get a different solution ##x##, and so forth. Are you sure you have not left out some important information?
I simplified until x/5=x/36y+ 1/36 but cannot get furtherharuspex said:In general, yes.
But here we are given x and y both positive. (1) has no solutions, but (2) has only the given solution for x (y being indeterminate).
Just multiply it out and simplify. Post your working as far as you get.
I asked you to post your working. It is wrong somewhere.OcaliptusP said:I simplified until x/5=x/36y+ 1/36 but cannot get further
There is no y in the final equation.OcaliptusP said:I simplified until x/5=x/36y+ 1/36 but cannot get further
Yes it was wrong as I noticed, I've sent my final workharuspex said:I asked you to post your working. It is wrong somewhere.
Continue to simplify. Multiply out.OcaliptusP said:Well starting equation was:
1000/x=3600+(3600(y-x)+1000)/(x+y)
Divide all 200
5/x=18+(18(y-x)+5)/(x+y)
Can be written as;
5/x=18+(18y-18x+5)/(x+y)
Multiply 18 with (x+y)/(x+y)
5/x=(18x+18y+18y-18x+5)/(x+y)
5/x=36y+5/(x+y)
Okay I've missed the detail. Thanks for all your helpharuspex said:Continue to simplify. Multiply out.
No, my post#3 was a bit misleading there. That comment only appiled to the other interpretation of the equation given, i.e. (1) in Ray's post.OcaliptusP said:Can you explain why do we need information of x and y is positive to derivate that?
Okay. Thanks to everyone who helped.haruspex said:No, my post#3 was a bit misleading there. That comment only appiled to the other interpretation of the equation given, i.e. (1) in Ray's post.
Solving a complex equation requires breaking it down into simpler steps. Start by simplifying each side of the equation as much as possible. Then, use inverse operations to isolate the variable on one side of the equation. Finally, check your solution by plugging it back into the original equation.
No, there are various methods for solving equations depending on the type of equation. Some common methods include substitution, elimination, and graphing. It's important to understand the type of equation you are dealing with in order to choose the most appropriate method.
Showing your work when solving equations helps to identify any mistakes you may have made. It also allows others to follow your thought process and understand how you arrived at your solution. Additionally, showing your work is important in academic settings as it demonstrates your understanding of the problem.
To check if your solution is correct, you can plug it back into the original equation and see if it satisfies the equation. Another way is to use a graphing calculator to graph both sides of the equation and see if they intersect at the same point. Additionally, you can ask a teacher or tutor to review your solution for any errors.
Practice is key to improving your equation solving skills. Start by mastering the basic techniques and then move on to more complex equations. You can also challenge yourself by solving equations from different areas of math, such as algebra, geometry, and calculus. Seeking help from a teacher or tutor can also be beneficial in improving your skills.