Answer: (−3, 7)
Step-by-step explanation:
The given system of equations:-
[tex]2x-3y=-27-----(1)\\\\-3x+2y=23-----(2)[/tex]
Multiply 3 to the first equation and 2 to the second equation , we get
[tex]6x-9y=−81-----(3)\\\\-6x+4y=46-----(4)[/tex]
Adding (3) and (4), we get
[tex]-9y+4y=-81+46\\\\\Rightarrow\ -5y=-35\\\\\Rightarrow\ y=\dfrac{-35}{-5}=7[/tex]
Put value of y in (1), we get
[tex]2x-3(7)=-27\\\\\Rightarrow\ 2x-21=-27\\\\\Rightarrow\ 2x=-6\\\\\Rightarrow\ x=-3[/tex]
Hence, the solution to the system of equations = (−3, 7)
