Answer:
the solution can be A or E
Step-by-step explanation:
more visual explanation
you know that the points where the lines intersect are the solutions
since the lines have the same slope, the two lines are parallel
since parallel lines never intersect, there are no solutions
but if these two lines are placed on top of each other to form a single line, they would intersect at all points, because they would be the same line
so the answer is that it can have no solutions or infinitely many solutions
more mathematical explanation
if n is the slope of both lines, and c and k are constants the equation of the two lines can be written as follows:
y=nx+c and y=nx+k
to find the intercept you have to equate the equations to each other
when k does not equal c:
nx+c=nx+k
c=k
but in the beginning, we stated that c does not equal k and this statement contradicts it. because of this we know there is no solution to this system
when c = k:
nx+c=nx+k
nx+c=nx+c
nx=nx
x=x
x=x is true for all values of x. so all values of x are solutions to this system when c=k
so the answer is it can have no solutions when c does not equal k or infinitely many solutions when c=k
