Question

What is the solution to the system of equations?

2x−3y=−27
−3x+2y=23

(−24, −7)

(3, 11)

(−3, 7)

(7, −3)

Answer 1

The answer to the question is (-3,7)

Answer 2

Answer: (−3, 7)

Explanation:

The given system of equations:-

`2x-3y=-27-----(1)\\\\-3x+2y=23-----(2)`

Multiply 3 to the first equation and 2 to the second equation , we get

`6x-9y=−81-----(3)\\\\-6x+4y=46-----(4)`

Adding (3) and (4), we get

`-9y+4y=-81+46\\\\\Rightarrow\ -5y=-35\\\\\Rightarrow\ y=(-35)/(-5)=7`

Put value of y in (1), we get

`2x-3(7)=-27\\\\\Rightarrow\ 2x-21=-27\\\\\Rightarrow\ 2x=-6\\\\\Rightarrow\ x=-3`

Hence, the solution to the system of equations = (−3, 7)