L+V=20
(X*L)+(Y*V)=10
Y=179.49*X/562
(1-Y)=1231.42*(1-X)/562
You asked:
Solve the system of equations:\[\begin{aligned}L + V &= 20\\X L + Y V &= 10\\Y &= \frac{179.49 X}{562}\\1 - Y &= \frac{1231.42 \cdot \left(1 - X\right)}{562}\end{aligned}\]
MathBot Answer:
The system of equations has one solution.
\[L = \frac{17543813420}{1280299221}, V = \frac{8062171000}{1280299221}, X = \frac{66942}{105193}, Y = \frac{600770979}{2955923300}\]