a-b=4
a-d=6
c=3
-12(d-e)-4(c-e)=0
-2a-4(b-c)-12(e-d)=0
You asked:
Solve the system of equations:\[\begin{aligned}a - b &= 4\\a - d &= 6\\c &= 3\\-\left( 12 \cdot \left(d - e\right) \right) - 4 \cdot \left(c - e\right) &= 0\\-\left( 2 a \right) - 4 \cdot \left(b - c\right) - 12 \cdot \left(e - d\right) &= 0\end{aligned}\]
MathBot Answer:
The system of equations has no solution.