Question

 please help asap 

Answer 1

Answer:  D.   consistent and independent

Step-by-step explanation:

The given system is $2y-3x=9\\4y+3x=12$

When we compare the coefficients of the corresponding variables of both the equations we get,

For y, $\frac{2}{4}=\frac{1}{2}$

For x, $\frac{-3}{3}=-1$

And $\frac{1}{2}\neq-1$,

⇒ The system in independent.

Therefore the system has one unique solution.

Since, if a system has a unique solution then the system is consistent .

Therefore, the system is consistent and independent.

Answer 2

The equtaion has only one solution because they cut each other only once and the are independent ..as both line are different. So it would be (d) consistent and independent