I want to solve this equation in a simpler way

[IC_10705698]

I want to solve this equation with x and y being real numbers not complex ones.

but without making a system of equations for the real part and the imaginary part like so:

Is there any way to use Find or solve in this case?

[Cornel]

Try this in your Mathcad 15 and come back and show/post the result:

Given

x+2*y=4

2*x-y=3

Find(x,y)

[Werner_E · Accepted solution]

Unfortunately as so often the symbolic solve ignores the "assume" constraint

You can force it to give you al solutions (using "fully") but you have to find out yourself that a parameter _z=1 will give you the desired all real solutions.

But a numeric solve block with "Find" does the job because it would only return non-real solutions if the guess values are non-real