It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.
The application of linear algebra to economics lies primarily in its use of matrices. A matrix in economics is used as a means to solve a large number of linear equations at once, where the variables are economic indicators and factors. As a whole, then, a matrix represents a transformation from one state to another state, and one can view the economy as a succession of such states. The methods can be extended to linear combinations of non-linear equations, where the entries might be operators rather than numbers. Given the huge number of factors involved, linear algebra has various methods for reducing the complexity of the problem. It also investigates properties of matrices such that one need not always waste time trying to find the precise solutions in order to determine some property of the system. Simulations of systems often use matrices.
It is not always better.Although quadratic equations always have solutions in the complex system, complex solutions might not always make any sense. In such circumstances, sticking to the real number system makes more sense that trying to evaluate an impossible solution in the complex field.
The equals sign ( = ). In fact it defines any equation, linear or not, since an equation is a statement that a particular value or term is equal to, so the result of solving, a second set of terms and operators. Any other symbols would be particular to the equation you have derived or are trying to solve.
You were going along pretty good until you hit the words "to the second power". Right there, you no longer have a 'linear' equation. The question looks like you're trying to say one of the following two equations: Either x + y2 = 25 or (x + y)2 = 25. Neither is a linear equation. Each is the equation of a parabola.
Linear means length, square means area. You are trying to compare the incomparable.
You are trying to compare length with area.
The first step would be to find the equation that you are trying to solve!
They are trying to control negative challenges such as poverty and lack of education. See related questions.
A scientist uses the information as a beginning for solving a problem.
this is as difficult as trying to break iron with you bare hands. this is as difficult as trying to pass a test without studying. this is as difficult as trying to sing a song without the lyrics.
DFS, BFS