Question

A system of two equations has no solution. One equation is -15x+y=18.

Select the equation that would make this system infinitely many solutions.

A) 3y-45x=54
B)3y+45x=54
C)45x+3y=-54
D)45x-3y=54

Answer 1

A.

If you multiply the original equation by 3 you get -45x+3y=54, which is the exact same as A, therefore they have infinite solutions.