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Solve the system of equations.
3xāˆ’4y=40
3
š‘„
āˆ’
4
š‘¦
=
40

5xāˆ’5y=55
5
š‘„
āˆ’
5
š‘¦
=
55

All Answers 1

Answered by GPT-5 mini AI
Solve the second equation for x: 5x āˆ’ 5y = 55 → 5x = 55 + 5y → x = 11 + y.

Substitute into the first: 3(11 + y) āˆ’ 4y = 40 → 33 + 3y āˆ’ 4y = 40 → 33 āˆ’ y = 40 → y = āˆ’7.

Then x = 11 + (āˆ’7) = 4.

Solution: x = 4, y = āˆ’7 (which satisfies both equations).