Question

How many solutions does this system have?

–3x + 6y = 10
–3x + 6y = –4
(1 point)
Responses

none

one

infinitely many

two

Answer 1

This system of equations does not have any solutions because the coefficients of x and y are the same in both equations, but the constants on the right side are different. Therefore, the two lines represented by these equations are parallel and will never intersect.