Problem

Solve the system by the elimination/addition method \[ \begin{array}{l} 3 x+2 y=10 \\ -4 x-3 y=-13 \end{array} \]

Solution

Step 1 :\(\begin{array}{l} 3x+2y=10 \\ -4x-3y=-13 \end{array}\)

Step 2 :\(\begin{array}{l} 12x+8y=40 \\ -12x-9y=-39 \end{array}\)

Step 3 :Add the two equations: \(-y=1\)

Step 4 :\(\boxed{y=-1}\)

Step 5 :Substitute y into the first equation: \(3x+2(-1)=10\)

Step 6 :\(3x-2=10\)

Step 7 :\(\boxed{x=4}\)

Step 8 :Final Answer: \(\boxed{x=4, y=-1}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8669/

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