Equations solving on Matlab , 3 unkowns and 2 equations.

v0=vf+ vfg*x;

u0=uf+ufg*x;

If we know vf,vfg,uf,ufg values how can I calculate x? Can you help me please?

Also there is this eq. m2*(he-u0)==m1*(he-u1); , we know he, m1,u1, values too.

In addition this eq. m2=v/vO; we know v value.

[Robin Kirsch]

if you have the 2 formulas m2 *(he... and m2 = v/v0 , dont you have 3 unknowns and 3 equations then? see my answer below

or is v0 of the first equation different from the m2 = v/vO?

[Rana Önem]

No it is not diffrent. I'm sorry my bad.

Answer 1

[Robin Kirsch]

If you simply want to know x, v0 and u0 you can just use the solve method. I assumed random variables for the known constants in my example.

syms x v0 u0
vf = 3;
vfg = 5;
uf = 2;
ufg = 1;
v = 7;
he = 2.5;
m1 = 4;
u1 = 1.1;;
eqn1 = v0 == vf+ vfg*x;
eqn2 = u0 == uf+ufg*x;

eqn3 = v/v0 * (he - u0) == m1*(he-u1);

[x v0 u0] = solve([eqn1, eqn2, eqn3], [x, v0, u0])

[Rana Önem]

When I write this on Matlab ,on Workspace for x it writes 1x1 sym, for v0 and u0 too. I click on it but it didn't gave me the number of x. What can I do now?

[Brent Kostich]

If you use 'syms' you get symbolic variables. They do not produce a numeric output. You can substitute numeric values for the syms to get a numeric output.

https://www.mathworks.com/help/symbolic/subs.html

https://www.mathworks.com/help/symbolic/symfun.html

[Rana Önem]

Okay I'll try this, thank you so much!