What is the solution to the system of equations? \( \left\{\begin{array}{l}-4 x-10 y=-12 \\ 2 x+5 y=-3\end{array}\right. \)

To solve the system of equations, we can use the method of elimination or substitution. If we take the second equation, \(2x + 5y = -3\), and multiply it by 2, we can align it with the first equation: \[ 4x + 10y = 6 \] Now, we can add this to the first equation: \[ -4x - 10y = -12 \] \[ 4x + 10y = 6 \] Adding them cancels out \(x\) and \(y\): \[ 0 = -6 \] This is a contradiction, which means the system of equations has no solutions. The lines represented by these equations are parallel and never intersect.