Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. -x+2y=-7 -4x+8y=-28 Answer Infinitely Many Solutions No Solutions One Solution

## Step 1: Convert Equations to Slope-Intercept Form### The first equation is . Solving for , we get . The second equation is . Solving for , we get .## Step 2: Compare Slopes and Intercepts### Both equations have the same slope and the same -intercept . This means the lines are identical.## Step 3: Determine the Number of Solutions### Since the lines are identical, they overlap completely, indicating that there are infinitely many solutions.