Solve the following system of equations. Express your answer as an ordered pair in the format \( (a, b) \), with no spaces between the numbers or symbols. \( \begin{array}{l}2 x+7 y=-7 \\ -4 x-3 y=-19\end{array} \)

To solve the system of equations, we can use the method of substitution or elimination. Here, we’ll use elimination: 1. Start with the equations: \[ 2x + 7y = -7 \quad (1) \] \[ -4x - 3y = -19 \quad (2) \] 2. Multiply equation (1) by 2 to make the coefficients of \(x\) match: \[ 4x + 14y = -14 \quad (3) \] 3. Add equations (2) and (3): \[ (4x + 14y) + (-4x - 3y) = -14 - 19 \] This simplifies to: \[ 11y = -33 \] Now, divide both sides by 11: \[ y = -3 \] 4. Substitute \(y = -3\) back into equation (1): \[ 2x + 7(-3) = -7 \] Simplifying gives: \[ 2x - 21 = -7 \] Add 21 to both sides: \[ 2x = 14 \] Now divide by 2: \[ x = 7 \] The solution as an ordered pair is \( (7, -3) \).