how can i solve this system on matlab?

v+L =1

0.25=x1*L + y1*v

0.45 = x2*L +y2*v

0.30 = x3*L +y3*v

y1 = 2.7406*x1

y2 = 1.019*x2

y3 = 0.384*x3

x1+x2+x3=1

Answer 1

[Star Strider]

A different approach —

syms L v x1 x2 x3 y1 y2 y3 
sys = [(v+L ==1) 
       (0.25==x1*L + y1*v) 
       (0.45 == x2*L +y2*v)
       (0.30 == x3*L +y3*v)
       (y1 == 2.7406*x1)
       (y2 == 1.019*x2)
       (y3 == 0.384*x3) 
       (x1+x2+x3==1)];
S = solve(sys)

S = struct with fields:
     L: [3×1 sym]
     v: [3×1 sym]
    x1: [3×1 sym]
    x2: [3×1 sym]
    x3: [3×1 sym]
    y1: [3×1 sym]
    y2: [3×1 sym]
    y3: [3×1 sym]

T = struct2table(S)

T = 3×8 table
                            L                                                     v                                                     x1                                                    x2                                                    x3                                                    y1                                                    y2                                                    y3                        
    __________________________________________________    __________________________________________________    __________________________________________________    __________________________________________________    __________________________________________________    __________________________________________________    __________________________________________________    __________________________________________________

    1                                                     0                                                     1/4                                                   9/20                                                  3/10                                                  13703/20000                                           9171/20000                                            72/625                                            
    (125*3912412642537^(1/2))/16976652 + 36671861/242…    - (125*3912412642537^(1/2))/16976652 - 34246625/2…    27596765/405712256 - (15*3912412642537^(1/2))/405…    (3*3912412642537^(1/2))/21864320 + 15690759/21864…    6414861/29928820 - (3*3912412642537^(1/2))/299288…    75631694159/405712256000 - (41109*3912412642537^(…    (3057*3912412642537^(1/2))/21864320000 + 15988883…    76978332/935275625 - (36*3912412642537^(1/2))/935…
    36671861/2425236 - (125*3912412642537^(1/2))/1697…    (125*3912412642537^(1/2))/16976652 - 34246625/242…    (15*3912412642537^(1/2))/405712256 + 27596765/405…    15690759/21864320 - (3*3912412642537^(1/2))/21864…    (3*3912412642537^(1/2))/29928820 + 6414861/299288…    (41109*3912412642537^(1/2))/405712256000 + 756316…    15988883421/21864320000 - (3057*3912412642537^(1/…    (36*3912412642537^(1/2))/935275625 + 76978332/935…

T = varfun(@double, T)

T = 3×8 table
    double_L    double_v    double_x1     double_x2    double_x3    double_y1    double_y2    double_y3
    ________    ________    __________    _________    _________    _________    _________    _________

          1           0           0.25        0.45          0.3       0.68515     0.45855        0.1152
     29.685     -28.685     -0.0051094     0.98904     0.016069     -0.014003      1.0078     0.0061704
    0.55696     0.44304        0.14115     0.44624      0.41261       0.38684     0.45472       0.15844

.

Answer 2

[David Hill]

syms v L x1 x2 x3 y1 y2 y3
eq1=v+L==1;
eq2=x1*L+y1*v==.25;
eq3=x2*L+y2*v==.45;
eq4=x3*L+y3*v==.30;
eq5=y1==2.7406*x1;
eq6=y2==1.019*x2;
eq7=y3==0.384*x3;
eq8=x1+x2+x3==1;
eqs=[eq1;eq2;eq3;eq4;eq5;eq6;eq7;eq8];
Sol=solve(eqs,[x1,x2,x3,y1,y2,y3,v,L]);

[Danny Farah]

hello, thanks for your answer. i tried writing the code and running it, but when i run it, it does not provide an answer, but it does not give any erros as well, its just like moving to the next line

[David Hill]

The solution is contained within Sol.