Equations are not especially useful for solving most of the real-life problems that people face, which is too bad, since problems that can be reduced to equations are likely to be solved before long if not immediately.
However, there are many problems in the physical sciences and engineering that lend themselves to mathematical modeling and equations and modern computer allow many difficult computations to be made quickly. Statistical methods and computer simulations can solve problems where precise equations can not be found.
Also, the mental discipline developed in learning any sort of mathematics will help you develop reasoning skills that will help you solve many real life problems in the future.
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Z tranform can be used to solve the differential equations occurring in electrical problems.
You need as many equations as you have variables.
The analytical method involves simultaneous equations but if you do not know that, draw graphs of the equations: with one variable represented per axis. The solution, if any, is where the graphs meet.
To solve two simultaneous equations - usually two equations with the same two variables each - you can use a variety of techniques. Sometimes you can multiply one of the two equations by a constant, then add the two equations together, to get a resulting equation that has only one variable. Sometimes you can solve one of the equations for one variable, and replace this variable in the other equation. Once again, this should give you one equation with a single variable to be useful.