solve the system by the method of your choice.identify systems with no solution and systems with infinitely many solutions using set notation to express their solution sets. 4x-3y=6 -12x+9y=-24

1 answer

multiply the first by 3 -----> 12x - 9y = 18
add it to the 2nd : ---------> -12x + 9y = -24
add them to get: 0 = -6
which is a false statement
Thus there is no solution to this system
(notice they are two distinct parallel lines, which can never intersect)

State the result in the notation that you learned.