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: $◻, ◻)$
The system has infinitely many solutions.
The system has no solution.

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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.