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
A. {( 3, 4)}
B.
C. {(x, y) | 4x - 3y = 6 }
D. ∅

Question

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
	A. {( 3, 4)} 	
	B. 	
	C. {(x, y) | 4x - 3y = 6 } 	
	D. ∅

anonymous · Answer

Answer is D
-12x+9y =-24 can also be written as
3(-4x+3y) = -8*3
This reduces the equation to
-4x+3y=-8
or
4x-3y=8
Note the first equation and this equation are nearly the same except the constant term.
This implies,
The given system is inconsistent, they have no solution.
Answer is D

anonymous · Answer

thank you now i can use this for feature equations.