Question

If the graph of the linear equations in a system are parallel what does that mean about possible solutions of the system?

Their is exactly one solution
There are infinitely many solutions
Their is no solution
The lines in a system cannot be parrallel

Answer 1

Since, the system of linear equations are parallel

so, they will never cross or intersect each other

And we know that

solution can only be found if both lines intersect atleast one point

But here , lines are parallel

so, they never intersect each other throughout number line

Since, they never intersect

so, we won't get any common value between both lines

Hence,

There is no solution...........Answer