A system of linear equations has no solution when the graphs are parallel.
The slopes of parallel lines are equal.
Write your equations in slope- intercept form.
- 6 x + y = 3
Add 6 x to both sides.
y = 6 x + 3
12 x - 2 y = - 8
Divide both sides by - 2
- 6 x + y = 4
Add 6 x to both sides.
y = 6 x + 4
These two lines have the same slope so they are parallel.
Your system has no solution.
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-6x+y=3
12x-2y=-8
1 answer