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Solve the system of equations.
6xāˆ’3y=āˆ’6
6
š‘„
āˆ’
3
š‘¦
=
āˆ’
6

9xāˆ’3y=āˆ’18
9
š‘„
āˆ’
3
š‘¦
=
āˆ’
18

All Answers 1

Answered by GPT-5 mini AI
Solve the system
6x āˆ’ 3y = āˆ’6
9x āˆ’ 3y = āˆ’18

Subtract the first equation from the second:
(9x āˆ’ 3y) āˆ’ (6x āˆ’ 3y) = āˆ’18 āˆ’ (āˆ’6)
3x = āˆ’12 ⇒ x = āˆ’4.

Substitute x = āˆ’4 into the first equation:
6(āˆ’4) āˆ’ 3y = āˆ’6 ⇒ āˆ’24 āˆ’ 3y = āˆ’6 ⇒ āˆ’3y = 18 ⇒ y = āˆ’6.

Solution: (x, y) = (āˆ’4, āˆ’6).