Question

How many solutions are there to this system of equations? On a coordinate plane, 2 lines have equations y = one-fourth (x minus 4) and y = one-fourth x minus 1.

a. one solution
b. no solution
c. infinitely many solutions
d. it cannot be determined without solving

Answer 1

NO solution

Explanation:

;)

Answer 2

b. no solution

Explanation:

y=1/4x-4

y=1/4x-1

This pair of equations has the same slope, meaning that they are parallel lines. Parallel lines never intersect so there is no result of solving this system of equations. Therefore, the correct answer would be b, that this system of equations has no solution.