Mathematics: What is the solution to the system of equations? 2x−3y=−27 −3x+2y=23 (−24, −7) (3, 11) (−3, 7) (7, −3)

What is the solution to the system of equations?

anna4060

12.03.2022

(−3, 7)

Step-by-step 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

$-9y+4y=-81+46\\\\\Rightarrow\ -5y=-35\\\\\Rightarrow\ y=\dfrac{-35}{-5}=7$

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)

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