I don't really know but usually it is done with one variable. If it has two variables there might be two unknown anwers to the equation.
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A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
The answer is that it cannot be done. To solve a set of equations in k variables (in this case, 2) you need at least two independent equations.
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.