Problem

2.) Solve by using the elimination/addition method. Write your answer as an ordered pair. \[ \begin{array}{l} 2 x-7 y=2 \\ 3 x+y=-20 \end{array} \]

Solution

Step 1 :Define the system of equations as \(2x - 7y = 2\) and \(3x + y = -20\)

Step 2 :Multiply the second equation by 7 to get \(21x + 7y = -140\)

Step 3 :Add the two equations to eliminate y, resulting in \(23x = -138\)

Step 4 :Solve for x to get \(x = -6\)

Step 5 :Substitute \(x = -6\) into the first equation to solve for y, resulting in \(y = -2\)

Step 6 :The solution to the system of equations is the ordered pair \(\boxed{(-6, -2)}\)

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Source: https://solvelyapp.com/problems/zcx6pepTcU/

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