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We present geometrical method for solving some systems of trigonometric, exponential, logarithmic and irrational equations. The equations are transformed and solved geometrically. Apart from systems of linear equations, for which one can always find solution, it is often difficult to find the solution of other systems. Sometimes several substitutions are required, or even various "tricks" to get to the solution. We will present one method in which some systems of equations can be quickly and elegantly solved. The method consists of geometric representation of the equations of the system. Of course, this only works for some systems. Most often some of the variables (or expressions of variables that are part of the system) are lengths of segments or measures of angles. This is why we have to be sure that they are positive. Now we present a few examples of using geometry to solve systems. Moreover, the given solutions are compared to other methods of solving. For some examples two solutions are given (geometric and non-geometric). Problem 1. Let , , 0 a b c  be real numbers, such that 6 4 37 b c b c, 321 2 2 5 4 b a a b ab, 2 4 3 139 c a a c ac. Calculate the value of 5 3 4 11 ab bc ac a b c. Solution. We transform the given equations in the following manner. The first: 6 4 37 b c b c6 9 4 4 50 b b c c2010 Mathematics Subject Classification.97D40,

GEOMETRICAL SOLVING OF SOME SYSTEMS OF EQUATIONS