Answer:
a) No Solutions
Step-by-step explanation:
It might be helpful to first get the equations in terms of y = mx + b.
The first equation (4x + 4y = -8) can be rewritten like this:
4x + 4y = -8 (original equation)
4y = 4x - 8 (subtract 4x from both sides)
y = x - 4 (divide everything by 4 to get y on its own)
and now you have an equation in terms of y = mx = b, where m is 1 and b is -4.
The second equation can be written like this:
2x + 2y = -4 (original equation)
2y = 2x - 4 (subtract 2x from both sides)
y = x - 2 (divide everything by 2 to get y on its own)
and once again we have an equation with m being 1 and b being -2.
So hopefully you should see that the equations will never touch because they have the same slope. Because the equations never touch, they have no solutions. Have a look at the graph.
