How Do You Solve These Simultaneous Linear Equations for L and X?

In summary, the conversation is about finding the value of L and X in a set of equations that involve squaring both variables. The suggested method for solving is through substitution, with the first equation being solved for X^2 and then substituted into the second equation to solve for L. The person asking for help has not been able to solve it and is asking for further guidance.
  • #1
Loke
27
0

Homework Statement


Find value L and X.

0.182(L2+X2)=1602
0.182[(555.56+L)2+X2]=2402
 
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  • #2
Technically, these aren't linear equations, are they, since both L and X are squared. You can solve this through substitution. I would solve the 1st equation for X2, then substitute the result into the 2nd equation and then solve for L. Try it, and let us know what you get.


69
 
  • #3
but i still don't know why i can't solve it out ...can you show me how you do it? ^^
 
  • #4
Well, what have you tried to do? Have you solved [itex]0.18^2(L^2+ X^2)= 160^2[/itex]? If so, what did you get?

What equation do you get when you replace [itex]X^2[/itex] by that in [itex]0.182[(555.56+L)^2+X^2]=2402 [/itex]?
 

FAQ: How Do You Solve These Simultaneous Linear Equations for L and X?

What is a simultaneous linear equation?

A simultaneous linear equation is a mathematical equation that involves two or more variables and can be solved to find the unique values of those variables that satisfy all of the equations simultaneously. It is often represented in the form of ax + by = c, where a and b are constants and x and y are variables.

How do you solve a system of simultaneous linear equations?

There are several methods for solving simultaneous linear equations, including substitution, elimination, and graphing. The most common method is elimination, where you manipulate the equations to eliminate one variable and then solve for the remaining variable. This process can be repeated until all variables have been solved for.

Can simultaneous linear equations have more than two variables?

Yes, simultaneous linear equations can have any number of variables, but they must have the same number of equations to be solvable. For example, a system of three equations with three variables can be solved, but a system of three equations with four variables cannot.

What is the importance of solving simultaneous linear equations?

Solving simultaneous linear equations is important because it allows us to find the values of multiple unknown variables and understand the relationships between them. This is useful in many fields, including physics, engineering, economics, and statistics.

Are there any real-life applications of simultaneous linear equations?

Yes, simultaneous linear equations have many real-life applications, such as in budgeting and financial planning, optimizing production processes, and predicting outcomes in sports and games. They are also used in solving problems related to electricity and magnetism, fluid dynamics, and chemical reactions.

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