Single equation with 2 unknowns

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In summary, the conversation is about finding the value of t when y is equal to -0.1 in the equation y=0.2sin(5x-1100t). The person is unsure how to solve for t without knowing the value of x and is asking for guidance. It is mentioned that there are two unknowns in the equation and the x-value may be hidden in the problem scenario. The possibility of using the wavelength to find x is also discussed.
  • #1
KateO
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hiya, if i have the equation:
y=0.2sin(5x-1100t)
and i need what t = when y - 0.1

how do i do this without knowing x / how do i find x?
thanks u
- kait
 
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  • #2
You can't solve a single equation with 2 unknowns.
The x-value to use is hidden in the wording of the problem scenario ...
... probably the origin , x= 0 .

OR,
they want the time for a piece of string to go from y = .2 (say)
to y = -.01 , which means you get to choose your x - location.
 
  • #3
would finding the wavelength not help at all? is x the wavelength??
or no...
 

FAQ: Single equation with 2 unknowns

What is a single equation with 2 unknowns?

A single equation with 2 unknowns is a mathematical equation that contains two variables and requires both variables to be solved in order to find a solution. These types of equations are commonly used in algebra and can be solved using various methods such as substitution or elimination.

How do you solve a single equation with 2 unknowns?

To solve a single equation with 2 unknowns, you can use one of the following methods:

  • Substitution: Choose one of the variables and solve for it in terms of the other variable. Then substitute this expression into the equation to solve for the remaining variable.
  • Elimination: Multiply one or both equations by a constant to create opposite coefficients for one of the variables. Then add or subtract the equations to eliminate one variable and solve for the other.
  • Graphing: Plot the equations on a graph and find the point where they intersect, which represents the solution for both variables.

Can a single equation with 2 unknowns have more than one solution?

Yes, a single equation with 2 unknowns can have infinitely many solutions. This occurs when the equation represents a line and any point on that line is a valid solution.

Are there any real-world applications of single equations with 2 unknowns?

Yes, single equations with 2 unknowns are commonly used in various fields of science and mathematics. They can be used to model and solve problems related to economics, physics, chemistry, engineering, and more.

Are there any limitations to solving a single equation with 2 unknowns?

One limitation is that the equations must be linear, meaning that the variables are raised to the first power and there are no exponents or roots. Additionally, there must be the same number of equations as there are unknowns in order to find a unique solution.

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