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9. Which of the following ordered pairs is a solution to the system of equations? Select all that appl \( \begin{array}{llll}y=5 x-5 \\ x-2 y=19 & \text { A. }(-1,-10) & \text { B. }(-2,13) & \text { C. }(7,-6) \\ x & y & \times 4\end{array} \)

Ask by Weston Macdonald. in the United States
Jan 13,2025

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**A. \((-1, -10)\)** is the only solution.

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Bonus Knowledge

To check which of the given ordered pairs are solutions to the system of equations, plug each pair into both equations. 1. For \( A. (-1,-10) \): - Equation 1: \( y = 5(-1) - 5 \) → \( -10 = -5 - 5 \) → True - Equation 2: \( -1 - 2(-10) = 19 \) → \( -1 + 20 = 19 \) → True This pair is a solution. 2. For \( B. (-2,13) \): - Equation 1: \( y = 5(-2) - 5 \) → \( 13 = -10 - 5 \) → False This pair is not a solution. 3. For \( C. (7,-6) \): - Equation 1: \( y = 5(7) - 5 \) → \( -6 = 35 - 5 \) → False This pair is not a solution. So, the only solution from this set is A: \((-1,-10)\).

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