In a system of two linear equations, the lines represented by each equation have the same slope

Which could be the total number of solutions to the system of equations

A. No solutions
B. 1 solutions
C. 2 solutions
D.3 solutions
E. Infinitely many solutions

Explain why you chose your answers above

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

answer: 19 is   2

step-by-step explanation: i just looked at your answer and wrote it down

1/4 because there is 4 grades.