How many solutions does the system of equations have?

Question

9x − 12y = 24 and 3x = 4y
(1 point)
Responses

one
one

none
none

infinitely many
infinitely many

two

Answer 1

The system of equations has infinitely many solutions, since the second equation can be rewritten as 3x - 4y = 0, which is equivalent to 9x - 12y = 0, and multiplying the first equation by 3/9 gives the same equation.