Question

Systems of equations with the same slope but diffirrent y interceps have no solution
Always right

Answer 1

SOMETIMES they do, not always.

Answer 2

a solution is determined by where the equations equal each other

spose you take 2 equations with the same slope and different y intercepts

y = ax + b
y = ax + c

and equate them; y=y

ax + b = ax + c

we can subtract ax from each side giving us

b = c ; but this cannot be true since they have different y intercepts, therefore b does nto equal c