Determine if the two lines are intersecting, parallel or the same lines by comparing the linear equations in slope - intercept form. State how many solutions there will be for each system.
2y = 6x + 8
Y= 3x + 6
To compare the two linear equations, let's rewrite them in slope-intercept form (y = mx + b):
2y = 6x + 8
y = 3x + 4
Comparing the slopes of the two equations, we can see that the slope of the first equation is 6/2 = 3, while the slope of the second equation is also 3. Since the slopes are equal, the lines are parallel.
Since the lines are parallel, there are no points where they intersect. Therefore, there are no solutions for this system of equations.