Problem

each system, choose the best description of its solution. plicable, give the solution. \begin{tabular}{l|l} \hline System A & \begin{tabular}{l} The system has no solution. \\ The system has a unique solution: \\ $(x, y)=(\square, \square)$ \\ $4 x-y=4$ \\ $4 x+y=4$ \end{tabular} \\ The system has infinitely many solutions. \\ They must satisfy the following equation: \\ $y=\square$ \end{tabular}

Solution

Step 1 :The given system of equations is: \(4x - y = 4\) and \(4x + y = 4\).

Step 2 :We can solve this system of equations by substitution or elimination method. Here, it is easier to use the elimination method.

Step 3 :By adding the two equations, we can eliminate \(y\) and solve for \(x\).

Step 4 :Then we can substitute \(x\) into one of the equations to solve for \(y\).

Step 5 :The solution to the system of equations is \((x, y) = (1, 0)\).

Step 6 :This means that the system has a unique solution.

Step 7 :Final Answer: The system has a unique solution: \(\boxed{(1, 0)}\).

From Solvely APP
Source: https://solvelyapp.com/problems/AtAOx4TZKw/

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