Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+3y=-7 -x-3y=7 Answer No Solutions Infinitely Many Solutions One Solution

## Step 1: Identify the equations### The given system of equations is: ## Step 2: Add the equations### Adding the two equations to eliminate : ## Step 3: Analyze the result### The result indicates that the two equations are dependent and represent the same line.## Step 4: Determine the number of solutions### Since the equations represent the same line, there are infinitely many solutions.