Solve. \[ \begin{array}{l}-4 x+10 y=-18 \\ -x+10 y=-12\end{array} \]

To solve the system of equations: \[ -4x + 10y = -18 \quad \text{(1)} \] \[ -x + 10y = -12 \quad \text{(2)} \] We can use the elimination or substitution method. Here, let's eliminate \(y\). Step 1: Simplify equation (2) for \(x\): \[ -x + 10y = -12 \implies x = 10y + 12 \quad \text{(3)} \] Step 2: Substitute equation (3) into equation (1): \[ -4(10y + 12) + 10y = -18 \] \[ -40y - 48 + 10y = -18 \] \[ -30y -48 = -18 \] \[ -30y = -18 + 48 \] \[ -30y = 30 \] \[ y = -1 \] Step 3: Substitute \(y = -1\) back into equation (3) to find \(x\): \[ x = 10(-1) + 12 \] \[ x = -10 + 12 \] \[ x = 2 \] The solution to the system of equations is: \[ (x, y) = (2, -1) \]