How to separate a single variable from other variables in an equation ?

I have a system of linear equations written as follow : 10X-Y+2Z=6 , -X+11Y-Z=25, 2X -Y +10Z=-11. I want to separate X from its coefficient in eq. 1 , Y in eq 2 and Z in eq 3 so that eq 1 becomes X=Y/10 - Z/5 +3/5 and eq 2 as Y = X/11 + Z/11 + 25/11 and eq 3 as Z = -X/5 +Y/10 - 11/10. If there are 4 equations then the fourth variable e.g. L will be separated like the previous equations. Please tell me a way to do the above in MATLAB.

[Matt J]

With what kind of variables? Symbolic?

[Ahsun Ali]

Yes, symbolic variables

Answer 1

[Azzi Abdelmalek]

syms X Y Z
X1=solve(10*X-Y+2*Z==6,X)
Y1=solve(-X+11*Y-Z==25,Y)
Z1=solve(2*X -Y +10*Z==-11,Z)

[Ahsun Ali]

Thank you very much ! works great.

[Ahsun Ali]

What if these equations were in a matrix or an array and the symbolic characters in another matrix then how will the above be done ? e.g equations= [10*X-Y+2*z=6, -X+11*Y-Z=25, 2*X-Y+10*Z=-11] and variables=[X, Y, Z] then how would you do X1=solve(equations(1),variables(1)) and Y1=solve(equations(2),variables(2)) and so on ? i tried doing this but matlab gave an error '10*X-Y+2*z' is not a valid equation for the first equation.