Problem

System A Line 1: \( y=\frac{5}{2} x+3 \) Line \( 2: y=\frac{5}{2} x-3 \) The system has exactly one solution. Solution: \( \square, \square) \) The system has infinitely many solutions. The system has no solution.

Solution

Step 1 :Set the expressions of \(y\) equal to each other to find the \(x\)-coordinate: \( \frac{5}{2}x + 3 = \frac{5}{2}x - 3\)

Step 2 :Subtract \( \frac{5}{2}x \) from both sides to get: \( 3 = -3 \)

Step 3 :Since the equation is false, there's no solution to the system.

From Solvely APP
Source: https://solvelyapp.com/problems/8345/

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