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.
9x = 18
3x = 12
To compare the linear equations in slope-intercept form, we need to isolate y in each equation.
The first equation, 9x = 18, can be rewritten as y = 2x by dividing both sides by 9.
The second equation, 3x = 12, can be rewritten as y = 4x by dividing both sides by 3.
Comparing the two equations, we can see that the slopes are different (2 and 4), so the lines are not the same. Since the slopes are different, the lines are also not parallel.
Therefore, the lines intersect at a single point. There will be one solution for this system.