Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. -2x+y=-3 6x-3y=7 Answer No Solutions Infinitely Many Solutions One Solution

## Step 1: Convert to Slope-Intercept Form### Convert both equations to the form to identify slopes and intercepts.- For the first equation , solve for : The slope is .- For the second equation , solve for : The slope is also .## Step 2: Compare Slopes and Intercepts### Compare the slopes and -intercepts of both equations to determine the number of solutions.- Both equations have the same slope ( ), indicating they are parallel.- The -intercepts are different: for the first equation and for the second equation.Since the lines are parallel and have different -intercepts, they do not intersect.